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Date
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Auteur
Titre


Aaron Pixton  The stable pairs equivariant descendent vertex
/ Fanny Bastien
/ 05072011
/ Canalu.fr
Pixton Aaron
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Voir le résumé
The counting function associated to the moduli space of stable pairs on a 3fold
X
is conjectured to give the Laurent expansion of a rational function. For toric
X
, this conjecture can
be proven by a careful grouping of the box con gurations appearing in the stable pairs equivariant
descendent vertex. I will describe this approach and then say a little about how it might also be used
to study the Donaldson{Thomas vertex. This talk presents joint work with Rahul Pandharipande. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, summer school, GromovWitten, isntitut fourier

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Alain Bachelot  Waves in the Antide Sitter spacetime Ads
/ Fanny Bastien
/ 04072014
/ Canalu.fr
Bachelot Alain
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Voir le résumé
In this talk we address some issues concerning the wave propagation in the 4D+1 anti de Sitter space time : the role of the conformal boundary, the representation of the fields in term of Kaluza Klein tower, the existence of new dynamics associated with a family of novel boundary conditions, the linear stability of a De Sitter brane. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, General Relativity, institut fourier, summer school, asymptotic analysis

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Alessandro Chiodo  Towards global mirror symmetry (Part 1)
/ Fanny Bastien
/ 27062011
/ Canalu.fr
Chiodo Alessandro
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Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathematics and physics in the last twenty years; we will review here a number of results going from the enumerative geometry of curves to homological algebra. These advances justify the introduction of new techniques, which are interesting in their own right. Among them, Gromov{Witten theory and its variants allow us to provide are ned statement of mirror symmetry. Of course this leads to further open questions (despite much e ort and progress, Gromov{Witten theory remains unknown in high genus for the quintic threefold). In this course, we will illustrate the natural problem of moving beyond the local mirror symmetry statement and completing a framework of global mirror symmetry which is gradually taking shape. We will show how the missing piece in this picture comes unexpectedly from a classical subject in algebraic geometry: the theory of curves with level structures. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, GromovWitten

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Alessandro Chiodo  Towards global mirror symmetry (Part 2)
/ Fanny Bastien
/ 28062011
/ Canalu.fr
Chiodo Alessandro
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Voir le résumé
Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathe
matics and physics in the last twenty years; we will review here a number of results going from the enumerative
geometry of curves to homological algebra. These advances justify the introduction of new techniques, which
are interesting in their own right. Among them, Gromov{Witten theory and its variants allow us to provide a
re ned statement of mirror symmetry. Of course this leads to further open questions (despite much e ort and
progress, Gromov{Witten theory remains unknown in high genus for the quintic threefold). In this course, we
will illustrate the natural problem of moving beyond the local mirror symmetry statement and completing a
framework of global mirror symmetry which is gradually taking shape. We will show how the missing piece in
this picture comes unexpectedly from a classical subject in algebraic geometry: the theory of curves with level
structures. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, GromovWitten

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Alessandro Chiodo  Towards global mirror symmetry (Part 3)
/ Fanny Bastien
/ 29062011
/ Canalu.fr
Chiodo Alessandro
Voir le résumé
Voir le résumé
Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathe
matics and physics in the last twenty years; we will review here a number of results going from the enumerative
geometry of curves to homological algebra. These advances justify the introduction of new techniques, which
are interesting in their own right. Among them, Gromov{Witten theory and its variants allow us to provide a
re ned statement of mirror symmetry. Of course this leads to further open questions (despite much e ort and
progress, Gromov{Witten theory remains unknown in high genus for the quintic threefold). In this course, we
will illustrate the natural problem of moving beyond the local mirror symmetry statement and completing a
framework of global mirror symmetry which is gradually taking shape. We will show how the missing piece in
this picture comes unexpectedly from a classical subject in algebraic geometry: the theory of curves with level
structures. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, GromovWitten

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Alessandro Giacomini  Free discontinuity problems and Robin boundary conditions
/ 30062015
/ Canalu.fr
Giacomini Alessandro
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Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation

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Alexander Gorodnik  Diophantine approximation and flows on homogeneous spaces (Part 1)
/ Fanny Bastien
/ 24062013
/ Canalu.fr
Gorodnik Alexander
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Voir le résumé
The
fundamental problem in the theory of Diophantine approximation is to
understand how well points in the Euclidean space can be approximated by
rational vectors with given bounds on denominators. It turns out that
Diophantine properties of points can be encoded using flows on
homogeneous spaces, and in this course we explain how to use techniques
from the theory of dynamical systems to address some of questions in
Diophantine approximation. In particular, we give a dynamical proof of
Khinchin’s theorem and discuss Sprindzuk’s question regarding
Diophantine approximation with dependent quantities, which was solved
using nondivergence properties of unipotent flows. In conclusion we
explore the problem of Diophantine approximation on more general
algebraic varieties. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory

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Alexander Gorodnik  Diophantine approximation and flows on homogeneous spaces (Part 2)
/ Fanny Bastien
/ Canalu.fr
Voir le résumé
Voir le résumé
The
fundamental problem in the theory of Diophantine approximation is to
understand how well points in the Euclidean space can be approximated by
rational vectors with given bounds on denominators. It turns out that
Diophantine properties of points can be encoded using flows on
homogeneous spaces, and in this course we explain how to use techniques
from the theory of dynamical systems to address some of questions in
Diophantine approximation. In particular, we give a dynamical proof of
Khinchin’s theorem and discuss Sprindzuk’s question regarding
Diophantine approximation with dependent quantities, which was solved
using nondivergence properties of unipotent flows. In conclusion we
explore the problem of Diophantine approximation on more general
algebraic varieties. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory

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Alexander Gorodnik  Diophantine approximation and flows on homogeneous spaces (Part 3)
/ Fanny Bastien
/ Canalu.fr
Voir le résumé
Voir le résumé
The
fundamental problem in the theory of Diophantine approximation is to
understand how well points in the Euclidean space can be approximated by
rational vectors with given bounds on denominators. It turns out that
Diophantine properties of points can be encoded using flows on
homogeneous spaces, and in this course we explain how to use techniques
from the theory of dynamical systems to address some of questions in
Diophantine approximation. In particular, we give a dynamical proof of
Khinchin’s theorem and discuss Sprindzuk’s question regarding
Diophantine approximation with dependent quantities, which was solved
using nondivergence properties of unipotent flows. In conclusion we
explore the problem of Diophantine approximation on more general
algebraic varieties. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory

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Alexander Strohmaier  Workshop
/ Fanny Bastien
/ 03072014
/ Canalu.fr
Strohmaier Alexander
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Voir le résumé
I will explain how one can formulate and formalize the Gupta Bleuler framework for the Quantization of the electromagnetic field in an algebraic manner so that it works on globally hyperbolic space times. I will then discuss a construction of physical representations that works without the "spectral gap assumption" in the case of absense of zero energy resonances. These can be excluded by topologocial restrictions at infinity. This is based on joint work with Felix Finster. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, General Relativity, institut fourier, summer school, asymptotic analysis

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