Mini courses
Introduction to supersymmetric field theory
Prof. Joseph Buchbinder (Universidade de Tomsk, Rússia)
Monday 23/04/2018, Tuesday 24/04/2018 and Wednesday 25/04/208. From 13:30 to 15:00.
1. General idea of supersymmetry. Lorentz and Poincaré groups. Two component spinors.
2. Supersymmetry algebra. Antocommuting variables. Superspace and superfield.
3. Superfield action. WessZumino model. Supersymmetric YangMills theory.
______________________________________________________________________
Machine Learning MiniCourse
Luciano Casarini (IIPUFRN)
19/12/2017 14h00
Binary classifier, MNIST data set, crossvalidation, confusion matrix, precisonrecall tradeoff, ROC curve, multiclass classification.
22/12/2017 14h00
Linear regression, batch gradient descent, stochastic gradient descent, polynomial regression, overfitting/underfitting, bias/variance tradeoff.
03/01/2017 10h00
Ridge regression, lasso regression,elastic net, early stopping, logistic regression, softmax regression.
09/01/2017 14h00
Curse of dimensionality, projection, manifold learning, Principal Component Analysis, kernels.
______________________________________________________________________
Tópicos em Astrofísica
José Antônio de Freitas Pacheco (OCA / PPGCosmo)
Dia 11/09/2017: "Restos de supernova" ( pdf )
Dia 14/09/2017: "Magnetoesfera dos pulsares" ( pdf )
Dia 19/09/2017: "Acresção por buracos negros" ( pdf )
Horário: 13:30 às 15 horas.
______________________________________________________________________
Quantum aspects of black holes
Marc Casals (CBPF)
Bibliography
From August 14 to 18, and from August 21 to 23 of 2017. All the days from 14:00 to 16:00.
Hawking’s discovery that black holes are not, in fact, black but they emit quantum radiation created a new paradigm: it placed black holes as an ideal arena for theories of Quantum Gravity and raised an as yet unresolved information paradox. In this course, we will first present the canonical quantization of a scalar field in flat spacetime and will study the example of the Unruh effect. We will then move on to quantum fields on classical black hole spacetimes. This ‘semiclassical’ framework will serve to investigate quantum aspects of black holes, such as Hawking radiation and black hole thermodynamics. If we have time, we will finish by presenting the latest advances in the field, particularly in relation to the black hole information paradox and to the experimental detection of Hawking radiation in analogue models
_____________________________________________________________________
Minicurso sobre programação em Python
Tiago Castro (UFRJ)
1ª Aula: Básico de python (Incluindo numpy, scipy, matplotlib...)
2ª Aula: POO em python (Criação de um pacote para cosmologia)
3ª Aula: Paralelização em Python
4ª Aula: Estatística Bayesiana em Python (Básico de estatística Bayesiana, MCMC, emcee, analisando JLA)
5ª Aula: Análisando Simulações Cosmológicas em Python
Extra: github, Gadget.
Dias: 15 a 19 de maio de 2017. Prédio do PPGFis.
2a: 12:0014:00, sala 2  aula 1
3a: 13:0015:00, sala 1  aula 2, material auxiliar
4a: 15:3017:30, sala 1  aula 3, material auxiliar
5a: 13:0015:00, sala 1  aula 4 (nb jupyter)
6a: 15:0017:00, sala 2  aula 5 (nb jupyter)
______________________________________________________________________
Formalismo ADM, Gravitação e Cosmologia Quânticas  Segunda parte do curso Tópicos em Cosmologia do PPGCosmo
Nelson PintoNeto (CBPF)
Dia 08/05/2017, das 18:00 às 19:30.
Tópico: "Cosmologia quântica: o problema da interpretação."
De 09 a 11/05/2017, das 13:30 às 15:00.
Tópicos:
"Equação de WheelerDe Witt para geometrias homogêneas e isotrópicas e um campo escalar canônico e suas soluções."
"Equação de WheelerDe Witt para geometrias homogêneas e isotrópicas e um campo escalar tipo quintessência e suas soluções: o caso de fluidos hidrodinâmicos."
"As soluções com ricochete e suas propriedades."
Dia 12/05/2017, das 10:30 às 12:00.
Tópico: "Perturbações de origem quântica em modelos de cosmologia quântica: equações fundamentais e soluções para modelos com ricochete."
______________________________________________________________________
Separação 3+1 da Teoria da Relatividade Geral  Primeira parte do curso Tópicos em Cosmologia do PPGCosmo
Nelson PintoNeto (CBPF)
1) Formalismo hamiltoniano e quantização de sistemas vinculados
2) Hamiltoniana da TRG e sua quantização
3) Modelos de minisuperespaco e cosmologia quântica
Dias: 21 a 25 de novembro de 2016 (todos os dias).
Horário: Todos os dias das 17 às 19 horas.
______________________________________________________________________
Dark Matter a short review: history, candidates and detection
Antonino del Popolo (Universita di Catania, Italy)
This minicourse is a review of the current status of nonbaryonic dark matter (DM) research, starting from a historical overview of the evidences of existence of DM, then discussing the main DM candidates, and concluding with the direct and indirect detection methods, and the results of the quoted search.
Lecture 1: (ppt, 29.7 MB)
September 15 (thursday), from 11:00 to 12:00
Lecture 2: (ppt, 21.7 MB)
September 19 (monday), from 11:00 to 12:00
Lecture 3: (ppt, 78.6 MB)
September 21 (wednesday) , from 9:45 to 10:45
______________________________________________________________________
Emergent Gravity  an exposition
Raju Roychowdhury (USP, Brasil)
Abstract:
An elucidation on the geometrization of electromagnetic force further leads to a proposal for a gravity theory (which we call emergent gravity) with nonsymmetric metric. It will be shown why we believe that in noncommutative (NC) spacetime there always exists a coordinate transformation that locally eliminates electromagnetic force which is nothing but an upshot of Darboux theorem (precisely an analogue of equivalence principle) in symplectic geometry. The consequence is that electromagnetism can be realized as a geometrical property of spacetime like gravity. It will be discussed how emergent gravity reveals a beautiful generalized geometrical structure which is an artifact of the famous SeibergWitten equivalence between commutative and NC DBI actions and is reminiscent of the homological mirror symmetry. In emergent gravity the topology of spacetime is determined by the topology of NC U(1) gauge fields. We will show that the topology change of spacetime is ample in emergent gravity and the subsequent resolution of spacetime singularity is possible in NC spacetime. Using ADHM construction we will show why emergent gravity provides a welldefined mechanism for the topology change of spacetime which does not suffer from any spacetime singularity in sharp contrast to general relativity.
Lecture 1 . Fundamentals and Motivations with Mathematical Foundations  Lie Bracket, Courant Bracket, Generalized Geometry etc.
(31/08  from 11 to 12)
Lecture 2. Tools for future  ADHM construction  a rapid introduction (01/09  from 11 to 12)
Lecture 3. Physical application  Topology Change in emergent gravity and resolution of singularity (02/09  from 11 to 12)
______________________________________________________________________
Some recent developments in gravitation theory
Dmitry Galtsov (Moscow State University)
Schedule:
June 27 (monday): from 11:00 to 12:00
June 28 (tuesday): from 09:30 to 12:00 (with 30 minutes break)
July 08 (friday): from 09:30 to 10:30
This mini lecture course introduces some recent ideas in the theory of gravitation beyond Einstein gravity. The first is the idea that at small distances gravity becomes multidimensional and strong, with Planck's mass of the order of TeV. This predicts possibility of black hole creation at LHC which is currently under experimental search. Two follwing lectures are devoted to gravity models with massive graviton within the Minkowski space linear theory and the nonlinear ghostfree gravity suggested in 2010. The last lecture intriduces nonminimal couplings of matter fields to gravity containing higher derivatives, but without ghosts.
1. TeVscale gravity with extra dimensions
2. Massive graviton in linearized gravity
3. Nonlinear massive gravity and bigravity
4. Horndeski couplings
______________________________________________________________________
Variational Methods in Differential Equations and Applications
Júlio César do Espírito Santo (UFOP)  No, he is not Júlio César Fabris.
June 29 and July 1st. From 11:00 to 12:15
The main objective of this minicourse is to illustrate the direct method in the
Calculus of variations, used to treat problems involving Elliptical Operators.
In general, the method seeks to derive and analyze an equivalent variational
problem, in a certain sense, to the problem in differential equations.
This minicourse, divided in two parts: in the first meeting we wish to show the
Method details, applying it to a linear boundary problem, highlighting the
difficulties that arise and what motivates the concepts that are necessary for
its application. In the last meeting, we shall show what difficulties arise in
applying the Method to a nonlinear problems, highlighting how it works to a
problem involving the pLaplacian operator: known as the prototype and a mascot
to nonlinear elliptical differential operators.
______________________________________________________________________
To be or not to be modified... gravity
Radouane Gannouji (UCV, Chile)
December 14 18, 2015.
First lecture, Monday (Dec 14) from 11:00 to 12:30: The road to modified gravity.
I will introduce the current problems in cosmology and a possible road of investigation dubbed modified gravity.
Second lecture, Wednesday (Dec 16) from 11:00 to 12:30: Chameleon mechanism.
If a modification of gravity can be considered as welcomed at large scales, we need to hide the additional field locally. I will discuss the chameleon mechanism, its strengths and the weaknesses, from the lab to the Universe.
Third lecture, Friday (Dec 18) from 11:00 to 12:30: Vainshtein mechanism.
From massive gravity to galileons, various models propose an other screening mechanism. If the chameleon mechanism uses the nonlinearities coming from matter couplings, the Vainshtein mechanism uses the selfcoupling of a scalarfield degree of freedom as a source for the nonlinear effect. We will see also various aspects of this mechanism
______________________________________________________________________
Introduction to cosmological perturbation theory
Jaichan Hwang (Kyungpook National University, Republic of Korea)
November 10, 12 and 16  11 a.m.  PPGFis, room 3.
We introduce cosmological perturbation theory which is at the foundation of modern physical cosmology connecting observations with theories. Basics of relativistic linear and nonlinear cosmological perturbation theory will be explained. As it is convenient to have the covariant (1 + 3) and the ADM (3 + 1) formulation of Einstein's gravity, we will introduce these two formulations in the first couple of lectures. The gauge (coordinate degrees of freedom) issue and a way to use it for our convenience will be explained.
Here you can find the pdf file of the lectures.
______________________________________________________________________
The small scale problems of the LCDM model
Antonino del Popolo (Universita' di Catania Italy )
October 05 09, 2015.
Monday (Oct 05): from 11:00 to 12:30.
Wednesday (Oct 07): from 11:00 to 12:30.
Friday (Oct. 09): from 11:00 to 12:30.
Slides: 1, 2, 3, 4.
______________________________________________________________________
Horizons for surface waves in fluids
Alberto Saa (Unicamp)
August 12 14, 2015.
Wednesday: from 17:00 to 18:15. (pdf)
Thursday: from 11:00 to 12:15. (pdf)
Friday: from 11:00 to 12:15. (pdf)
Surface waves on stationary flows will be revisited. We will focus on the linear regime for the waves, where an effective geometrical formulation is available and the notion of horizon for surface waves makes sense. We will show also that such fluid configurations can be studied experimentally in rather simple hydrodynamics setups which could be considered as simplified analogs of real spacetime phenomena.
Prof. Joseph Buchbinder (Universidade de Tomsk, Rússia)
Monday 23/04/2018, Tuesday 24/04/2018 and Wednesday 25/04/208. From 13:30 to 15:00.
1. General idea of supersymmetry. Lorentz and Poincaré groups. Two component spinors.
2. Supersymmetry algebra. Antocommuting variables. Superspace and superfield.
3. Superfield action. WessZumino model. Supersymmetric YangMills theory.
______________________________________________________________________
Machine Learning MiniCourse
Luciano Casarini (IIPUFRN)
19/12/2017 14h00
Binary classifier, MNIST data set, crossvalidation, confusion matrix, precisonrecall tradeoff, ROC curve, multiclass classification.
22/12/2017 14h00
Linear regression, batch gradient descent, stochastic gradient descent, polynomial regression, overfitting/underfitting, bias/variance tradeoff.
03/01/2017 10h00
Ridge regression, lasso regression,elastic net, early stopping, logistic regression, softmax regression.
09/01/2017 14h00
Curse of dimensionality, projection, manifold learning, Principal Component Analysis, kernels.
______________________________________________________________________
Tópicos em Astrofísica
José Antônio de Freitas Pacheco (OCA / PPGCosmo)
Dia 11/09/2017: "Restos de supernova" ( pdf )
Dia 14/09/2017: "Magnetoesfera dos pulsares" ( pdf )
Dia 19/09/2017: "Acresção por buracos negros" ( pdf )
Horário: 13:30 às 15 horas.
______________________________________________________________________
Quantum aspects of black holes
Marc Casals (CBPF)
Bibliography
From August 14 to 18, and from August 21 to 23 of 2017. All the days from 14:00 to 16:00.
Hawking’s discovery that black holes are not, in fact, black but they emit quantum radiation created a new paradigm: it placed black holes as an ideal arena for theories of Quantum Gravity and raised an as yet unresolved information paradox. In this course, we will first present the canonical quantization of a scalar field in flat spacetime and will study the example of the Unruh effect. We will then move on to quantum fields on classical black hole spacetimes. This ‘semiclassical’ framework will serve to investigate quantum aspects of black holes, such as Hawking radiation and black hole thermodynamics. If we have time, we will finish by presenting the latest advances in the field, particularly in relation to the black hole information paradox and to the experimental detection of Hawking radiation in analogue models
_____________________________________________________________________
Minicurso sobre programação em Python
Tiago Castro (UFRJ)
1ª Aula: Básico de python (Incluindo numpy, scipy, matplotlib...)
2ª Aula: POO em python (Criação de um pacote para cosmologia)
3ª Aula: Paralelização em Python
4ª Aula: Estatística Bayesiana em Python (Básico de estatística Bayesiana, MCMC, emcee, analisando JLA)
5ª Aula: Análisando Simulações Cosmológicas em Python
Extra: github, Gadget.
Dias: 15 a 19 de maio de 2017. Prédio do PPGFis.
2a: 12:0014:00, sala 2  aula 1
3a: 13:0015:00, sala 1  aula 2, material auxiliar
4a: 15:3017:30, sala 1  aula 3, material auxiliar
5a: 13:0015:00, sala 1  aula 4 (nb jupyter)
6a: 15:0017:00, sala 2  aula 5 (nb jupyter)
______________________________________________________________________
Formalismo ADM, Gravitação e Cosmologia Quânticas  Segunda parte do curso Tópicos em Cosmologia do PPGCosmo
Nelson PintoNeto (CBPF)
Dia 08/05/2017, das 18:00 às 19:30.
Tópico: "Cosmologia quântica: o problema da interpretação."
De 09 a 11/05/2017, das 13:30 às 15:00.
Tópicos:
"Equação de WheelerDe Witt para geometrias homogêneas e isotrópicas e um campo escalar canônico e suas soluções."
"Equação de WheelerDe Witt para geometrias homogêneas e isotrópicas e um campo escalar tipo quintessência e suas soluções: o caso de fluidos hidrodinâmicos."
"As soluções com ricochete e suas propriedades."
Dia 12/05/2017, das 10:30 às 12:00.
Tópico: "Perturbações de origem quântica em modelos de cosmologia quântica: equações fundamentais e soluções para modelos com ricochete."
______________________________________________________________________
Separação 3+1 da Teoria da Relatividade Geral  Primeira parte do curso Tópicos em Cosmologia do PPGCosmo
Nelson PintoNeto (CBPF)
1) Formalismo hamiltoniano e quantização de sistemas vinculados
2) Hamiltoniana da TRG e sua quantização
3) Modelos de minisuperespaco e cosmologia quântica
Dias: 21 a 25 de novembro de 2016 (todos os dias).
Horário: Todos os dias das 17 às 19 horas.
______________________________________________________________________
Dark Matter a short review: history, candidates and detection
Antonino del Popolo (Universita di Catania, Italy)
This minicourse is a review of the current status of nonbaryonic dark matter (DM) research, starting from a historical overview of the evidences of existence of DM, then discussing the main DM candidates, and concluding with the direct and indirect detection methods, and the results of the quoted search.
Lecture 1: (ppt, 29.7 MB)
September 15 (thursday), from 11:00 to 12:00
Lecture 2: (ppt, 21.7 MB)
September 19 (monday), from 11:00 to 12:00
Lecture 3: (ppt, 78.6 MB)
September 21 (wednesday) , from 9:45 to 10:45
______________________________________________________________________
Emergent Gravity  an exposition
Raju Roychowdhury (USP, Brasil)
Abstract:
An elucidation on the geometrization of electromagnetic force further leads to a proposal for a gravity theory (which we call emergent gravity) with nonsymmetric metric. It will be shown why we believe that in noncommutative (NC) spacetime there always exists a coordinate transformation that locally eliminates electromagnetic force which is nothing but an upshot of Darboux theorem (precisely an analogue of equivalence principle) in symplectic geometry. The consequence is that electromagnetism can be realized as a geometrical property of spacetime like gravity. It will be discussed how emergent gravity reveals a beautiful generalized geometrical structure which is an artifact of the famous SeibergWitten equivalence between commutative and NC DBI actions and is reminiscent of the homological mirror symmetry. In emergent gravity the topology of spacetime is determined by the topology of NC U(1) gauge fields. We will show that the topology change of spacetime is ample in emergent gravity and the subsequent resolution of spacetime singularity is possible in NC spacetime. Using ADHM construction we will show why emergent gravity provides a welldefined mechanism for the topology change of spacetime which does not suffer from any spacetime singularity in sharp contrast to general relativity.
Lecture 1 . Fundamentals and Motivations with Mathematical Foundations  Lie Bracket, Courant Bracket, Generalized Geometry etc.
(31/08  from 11 to 12)
Lecture 2. Tools for future  ADHM construction  a rapid introduction (01/09  from 11 to 12)
Lecture 3. Physical application  Topology Change in emergent gravity and resolution of singularity (02/09  from 11 to 12)
______________________________________________________________________
Some recent developments in gravitation theory
Dmitry Galtsov (Moscow State University)
Schedule:
June 27 (monday): from 11:00 to 12:00
June 28 (tuesday): from 09:30 to 12:00 (with 30 minutes break)
July 08 (friday): from 09:30 to 10:30
This mini lecture course introduces some recent ideas in the theory of gravitation beyond Einstein gravity. The first is the idea that at small distances gravity becomes multidimensional and strong, with Planck's mass of the order of TeV. This predicts possibility of black hole creation at LHC which is currently under experimental search. Two follwing lectures are devoted to gravity models with massive graviton within the Minkowski space linear theory and the nonlinear ghostfree gravity suggested in 2010. The last lecture intriduces nonminimal couplings of matter fields to gravity containing higher derivatives, but without ghosts.
1. TeVscale gravity with extra dimensions
2. Massive graviton in linearized gravity
3. Nonlinear massive gravity and bigravity
4. Horndeski couplings
______________________________________________________________________
Variational Methods in Differential Equations and Applications
Júlio César do Espírito Santo (UFOP)  No, he is not Júlio César Fabris.
June 29 and July 1st. From 11:00 to 12:15
The main objective of this minicourse is to illustrate the direct method in the
Calculus of variations, used to treat problems involving Elliptical Operators.
In general, the method seeks to derive and analyze an equivalent variational
problem, in a certain sense, to the problem in differential equations.
This minicourse, divided in two parts: in the first meeting we wish to show the
Method details, applying it to a linear boundary problem, highlighting the
difficulties that arise and what motivates the concepts that are necessary for
its application. In the last meeting, we shall show what difficulties arise in
applying the Method to a nonlinear problems, highlighting how it works to a
problem involving the pLaplacian operator: known as the prototype and a mascot
to nonlinear elliptical differential operators.
______________________________________________________________________
To be or not to be modified... gravity
Radouane Gannouji (UCV, Chile)
December 14 18, 2015.
First lecture, Monday (Dec 14) from 11:00 to 12:30: The road to modified gravity.
I will introduce the current problems in cosmology and a possible road of investigation dubbed modified gravity.
Second lecture, Wednesday (Dec 16) from 11:00 to 12:30: Chameleon mechanism.
If a modification of gravity can be considered as welcomed at large scales, we need to hide the additional field locally. I will discuss the chameleon mechanism, its strengths and the weaknesses, from the lab to the Universe.
Third lecture, Friday (Dec 18) from 11:00 to 12:30: Vainshtein mechanism.
From massive gravity to galileons, various models propose an other screening mechanism. If the chameleon mechanism uses the nonlinearities coming from matter couplings, the Vainshtein mechanism uses the selfcoupling of a scalarfield degree of freedom as a source for the nonlinear effect. We will see also various aspects of this mechanism
______________________________________________________________________
Introduction to cosmological perturbation theory
Jaichan Hwang (Kyungpook National University, Republic of Korea)
November 10, 12 and 16  11 a.m.  PPGFis, room 3.
We introduce cosmological perturbation theory which is at the foundation of modern physical cosmology connecting observations with theories. Basics of relativistic linear and nonlinear cosmological perturbation theory will be explained. As it is convenient to have the covariant (1 + 3) and the ADM (3 + 1) formulation of Einstein's gravity, we will introduce these two formulations in the first couple of lectures. The gauge (coordinate degrees of freedom) issue and a way to use it for our convenience will be explained.
Here you can find the pdf file of the lectures.
______________________________________________________________________
The small scale problems of the LCDM model
Antonino del Popolo (Universita' di Catania Italy )
October 05 09, 2015.
Monday (Oct 05): from 11:00 to 12:30.
Wednesday (Oct 07): from 11:00 to 12:30.
Friday (Oct. 09): from 11:00 to 12:30.
Slides: 1, 2, 3, 4.
______________________________________________________________________
Horizons for surface waves in fluids
Alberto Saa (Unicamp)
August 12 14, 2015.
Wednesday: from 17:00 to 18:15. (pdf)
Thursday: from 11:00 to 12:15. (pdf)
Friday: from 11:00 to 12:15. (pdf)
Surface waves on stationary flows will be revisited. We will focus on the linear regime for the waves, where an effective geometrical formulation is available and the notion of horizon for surface waves makes sense. We will show also that such fluid configurations can be studied experimentally in rather simple hydrodynamics setups which could be considered as simplified analogs of real spacetime phenomena.
Cosmic inflation and the origin of structure
David Wands (Institute of Cosmology and Gravitation, University of Portsmouth)
May 7 (Thursday), 8 (Friday), 11 (Monday), 12 (Tuesday) 2015. From 11.00 to 12.30.
Venue: Room 3, ground floor of PPGFIS building.
Lecture 1: Inflationary dynamics
Lecture 2: Gaugeinvariant perturbations
Lecture 3: Primordial perturbations from inflation
Lecture 4: Multiple field inflation (entropy perturbations and nonGaussianity)
Selfadjoint extensions in Physics
Giuseppe Dito (Université de Bourgogne)
March 02  06, 2015, one lecture per day from 11.00 to 12.00.
Lecture 1: Hilbert spaces and operators
Lecture 2: Symmetric and selfadjoint operators
Lecture 3: Deficiency indices and Von Neumann theory
Lecture 4: Stone and Nelson theorems
Lecture 5: Applications to quantum physics
Canonical Gravity
Yaser Tavakoli (UFES)
Program:
December 15 (monday), from 11:00 to 12:15: Constrained Hamiltonian systems
December 16 (tuesday), from 11:00 to 12:15: Hamiltonian formulation of general relativity
December 18 (thursday), from 13:30 to 15:00: Ashtekar's variables for canonical gravity
Effective field theory methods in gravity and cosmology
Riccardo Sturani (UNESP)
Três aulas nos dias 18, 20 e 21/11/2014, das 11:00 às 12:30.
In a short series of lectures (3x1h30') I will outline the basis of the applications of effective field theory methods to classical theory of gravity.Effective field theory methods represent a powerful tool to perturbatively solve equations of motions.
In particular I will review the recent proposal to compute cosmological observables taking into account gravity nonlinearities by mapping the cosmological equations into those of a viscous fluid coupled to gravity.
These lectures were based on these lecture notes. See also this page.
Sistemas vinculados: introdução aos formalismos Hamiltonianos de Dirac e Simplético
Davi Rodrigues (UFES)
Dias: 08/08/2014 e 15/08/2014. Das 11 às 12 horas.
Este minicurso é uma continuação do minicurso "Formulação Hamiltoniana da Relatividade Geral". O principal objetivo deste breve minicurso é apresentar uma introdução ao formalismo simplético, que é um formalismo alternativo ao formalismo Hamiltoniano de Dirac de tratamento de vínculos e simetrias, no qual se baseia o formalismo Hamiltoniano da Relatividade Geral.
Antide Sitter SpaceTime
Betti Hartmann (UFES & Jacobs University Bremen)
Schedule:
16/7 (wednesday) Antide Sitter (generalities).
17/7 (thursday): Black holes in Antide Sitter
23/7 (wednesday): AdS/CFT in a nutshell
01/8 (friday): Stability of Antide Sitter
All the days from 11:00 to 12:15.
Astrofísica de aglomerado de galáxias com raiosX
Gastão B. Lima Neto (IAGUSP)
Days: 21, 22 and 23/05/2014. From 11:00 to 12:30.  Lecture notes.
RESUMO: O objetivo deste minicurso é dar uma visão geral de aglomerados de
galáxias e suas propriedades físicas. Será dada ênfase aos aspectos
observacionais, particularmente na banda de raiosX (0.110.0 keV).
PROGRAMA: Definição de aglomerado de galáxias e suas características.
Componentes de aglomerados: galáxias/estrelas, plasma intraaglomerado,
matéria escura. Determinação de massa. Emissão de raiosX: descoberta e
processos de emissão. Espectroscopia e imageamento em raiosX e propriedades
astrofísicas associadas. Coolingflow no centro de aglomerados e aquecimento
do gás intraaglomerado. Aglomerados em alto redshift. Observação em raiosX
por satélites. Obtenção dos dados em raiosX, redução e análise.
Métodos Mathematicos  Minicurso sobre o Mathematica
Davi C. Rodrigues (UFES)
Às quartasfeiras, 11:0012:00.
Dias em que houve aulas:
09/04/2014, 30/04/2014, 07/05/2014, 11/06/2014
Arquivos utilizados no curso: arquivo principal v4, UGC.txt, SetOptions2a.m.
Caso deseje receber emails de aviso sobre o curso, escreva para site@cosmoufes.org .
Geometric theories of gravity
Bertrand Chauvineau (Université de NiceSophia Antipolis,Observatoire de la Côte d’Azur  France)
Days: 5, 7, 12 and 14/02/2014. Always at 11:00.
Lecture Notes
Program:
Geometry & basic tools
I  Gravity & geometrical concepts
II  What can a geometric gravity lagrangian look like?
III – Symmetries, conservation laws, laws of conservation
Geometric gravity : General Relativity & sisters
IV  General Relativity & ways to alternatives
V  f(R) theories
VI  Other purely metric alternatives vs Ostrogradsky theorem
VII  Scalartensor theories
VIII  f(R) vs scalartensor
IX  Nondynamical scalartensor
Formulação Hamiltoniana da Relatividade Geral
José André Lourenço (UFES  São Mateus)
Fridays from 14:00 to 15:00.
Starts: 24/01/2014.
Program.
Bibliografia da introdução à formulação Hamiltoniana com vínculos
Cusps and Cores in galaxies, problems and solutions
Antonino del Popolo (Universita' di Catania Italy)
October 22  24, 2013.
From 14:00 to 15:00
Abstract & Program
First day, Second day, Third day
This mini course was canceled due to urgent personal reasons.
Dinâmica de sistemas gravitacionais
José de Freitas Pacheco (OCAFrance)
Thursdays from 11:00 to 12:30
Oct, 2013  Dez, 2013
Program.
Slides of the 2nd day
Lecture notes
A Física da Radiação Cósmica de Fundo
Hermano Velten (UFES, pdf), Wiliam Hipólito (UFES São Mateus, pdf), Daniel Boriero (Unicamp, pdf)
September 23  26, 2013. UFES, Vítória
Program and schedule
David Wands (Institute of Cosmology and Gravitation, University of Portsmouth)
May 7 (Thursday), 8 (Friday), 11 (Monday), 12 (Tuesday) 2015. From 11.00 to 12.30.
Venue: Room 3, ground floor of PPGFIS building.
Lecture 1: Inflationary dynamics
Lecture 2: Gaugeinvariant perturbations
Lecture 3: Primordial perturbations from inflation
Lecture 4: Multiple field inflation (entropy perturbations and nonGaussianity)
Selfadjoint extensions in Physics
Giuseppe Dito (Université de Bourgogne)
March 02  06, 2015, one lecture per day from 11.00 to 12.00.
Lecture 1: Hilbert spaces and operators
Lecture 2: Symmetric and selfadjoint operators
Lecture 3: Deficiency indices and Von Neumann theory
Lecture 4: Stone and Nelson theorems
Lecture 5: Applications to quantum physics
Canonical Gravity
Yaser Tavakoli (UFES)
Program:
December 15 (monday), from 11:00 to 12:15: Constrained Hamiltonian systems
December 16 (tuesday), from 11:00 to 12:15: Hamiltonian formulation of general relativity
December 18 (thursday), from 13:30 to 15:00: Ashtekar's variables for canonical gravity
Effective field theory methods in gravity and cosmology
Riccardo Sturani (UNESP)
Três aulas nos dias 18, 20 e 21/11/2014, das 11:00 às 12:30.
In a short series of lectures (3x1h30') I will outline the basis of the applications of effective field theory methods to classical theory of gravity.Effective field theory methods represent a powerful tool to perturbatively solve equations of motions.
In particular I will review the recent proposal to compute cosmological observables taking into account gravity nonlinearities by mapping the cosmological equations into those of a viscous fluid coupled to gravity.
These lectures were based on these lecture notes. See also this page.
Sistemas vinculados: introdução aos formalismos Hamiltonianos de Dirac e Simplético
Davi Rodrigues (UFES)
Dias: 08/08/2014 e 15/08/2014. Das 11 às 12 horas.
Este minicurso é uma continuação do minicurso "Formulação Hamiltoniana da Relatividade Geral". O principal objetivo deste breve minicurso é apresentar uma introdução ao formalismo simplético, que é um formalismo alternativo ao formalismo Hamiltoniano de Dirac de tratamento de vínculos e simetrias, no qual se baseia o formalismo Hamiltoniano da Relatividade Geral.
Antide Sitter SpaceTime
Betti Hartmann (UFES & Jacobs University Bremen)
Schedule:
16/7 (wednesday) Antide Sitter (generalities).
17/7 (thursday): Black holes in Antide Sitter
23/7 (wednesday): AdS/CFT in a nutshell
01/8 (friday): Stability of Antide Sitter
All the days from 11:00 to 12:15.
Astrofísica de aglomerado de galáxias com raiosX
Gastão B. Lima Neto (IAGUSP)
Days: 21, 22 and 23/05/2014. From 11:00 to 12:30.  Lecture notes.
RESUMO: O objetivo deste minicurso é dar uma visão geral de aglomerados de
galáxias e suas propriedades físicas. Será dada ênfase aos aspectos
observacionais, particularmente na banda de raiosX (0.110.0 keV).
PROGRAMA: Definição de aglomerado de galáxias e suas características.
Componentes de aglomerados: galáxias/estrelas, plasma intraaglomerado,
matéria escura. Determinação de massa. Emissão de raiosX: descoberta e
processos de emissão. Espectroscopia e imageamento em raiosX e propriedades
astrofísicas associadas. Coolingflow no centro de aglomerados e aquecimento
do gás intraaglomerado. Aglomerados em alto redshift. Observação em raiosX
por satélites. Obtenção dos dados em raiosX, redução e análise.
Métodos Mathematicos  Minicurso sobre o Mathematica
Davi C. Rodrigues (UFES)
Às quartasfeiras, 11:0012:00.
Dias em que houve aulas:
09/04/2014, 30/04/2014, 07/05/2014, 11/06/2014
Arquivos utilizados no curso: arquivo principal v4, UGC.txt, SetOptions2a.m.
Caso deseje receber emails de aviso sobre o curso, escreva para site@cosmoufes.org .
Geometric theories of gravity
Bertrand Chauvineau (Université de NiceSophia Antipolis,Observatoire de la Côte d’Azur  France)
Days: 5, 7, 12 and 14/02/2014. Always at 11:00.
Lecture Notes
Program:
Geometry & basic tools
I  Gravity & geometrical concepts
II  What can a geometric gravity lagrangian look like?
III – Symmetries, conservation laws, laws of conservation
Geometric gravity : General Relativity & sisters
IV  General Relativity & ways to alternatives
V  f(R) theories
VI  Other purely metric alternatives vs Ostrogradsky theorem
VII  Scalartensor theories
VIII  f(R) vs scalartensor
IX  Nondynamical scalartensor
Formulação Hamiltoniana da Relatividade Geral
José André Lourenço (UFES  São Mateus)
Fridays from 14:00 to 15:00.
Starts: 24/01/2014.
Program.
Bibliografia da introdução à formulação Hamiltoniana com vínculos
Cusps and Cores in galaxies, problems and solutions
Antonino del Popolo (Universita' di Catania Italy)
October 22  24, 2013.
From 14:00 to 15:00
Abstract & Program
First day, Second day, Third day
This mini course was canceled due to urgent personal reasons.
Dinâmica de sistemas gravitacionais
José de Freitas Pacheco (OCAFrance)
Thursdays from 11:00 to 12:30
Oct, 2013  Dez, 2013
Program.
Slides of the 2nd day
Lecture notes
A Física da Radiação Cósmica de Fundo
Hermano Velten (UFES, pdf), Wiliam Hipólito (UFES São Mateus, pdf), Daniel Boriero (Unicamp, pdf)
September 23  26, 2013. UFES, Vítória
Program and schedule

Núcleo Cosmoufes, CCE
Universidade Federal do Espírito Santo Av. Fernando Ferrari, 514 29075910  Vitória/ES  Brazil site@cosmoufes.org 