Notice
Maciej Zworski - From redshift effect to classical dynamics : microlocal proof of Smale's conjecture
- document 1 document 2 document 3
- niveau 1 niveau 2 niveau 3
Descriptif
Dynamical zeta functions of Selberg, Smale and Ruelle are analogous to the Riemann zeta function with the product over primes replaced by products over closed orbits of Anosov flows. In 1967 Smale conjectured that these zeta functions should be meromorphic but admitted "that a positive answer would be a little shocking". Nevertheless the continuation was proved in 2012 by Giulietti-Liverani-Pollicott. By combining the Faure Sjöstrand approach to Anosov flows and Melrose's microlocal radial estimates, Dyatlov and I gave a simple proof of that conjecture. The same radial estimates were used by Vasy to provide a microlocal explanation of the redshift effect and propagation estimates for Kerr de Sitter like spaces.
Documentation
Liens
Dans la même collection
-
Jérémie Joudioux - Hertz potentials and the decay of higher spin fields
JoudiouxJérémieThe study of the asymptotic behavior of higher spin fields has proven to be a key point in understanding the stability properties of
-
Thomas Backdahl - Symmetry operators, conserved currents and energy momentum tensors
BackdahlThomasConserved quantities, for example energy and momentum, play a fundamental role in the analysis of dynamics of particles and fields. For
-
Jérémie Szeftel The resolution of the bounded L2 curvature conjecture in General Relativity (Part 1)
SzeftelJérémieIn order to control locally a space time which satisfies the Einstein equations, what are the minimal assumptions one should make on its
-
Lionel Mason - Perturbative formulae for scattering of gravitational wave
MasonLionel J.The Christodoulou Klainerman proof of existence of asymptotically simple space-times shows that it is reasonable to consider the scattering of
-
Andras Vasy - Microlocal analysis and wave propagation (Part 4)
In these lectures I will explain the basics of microlocal analysis, emphasizing non elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In
-
-
Andras Vasy - Microlocal analysis and wave propagation (Part 1)
VasyAndrásIn these lectures I will explain the basics of microlocal analysis, emphasizing non elliptic problems, such as wave propagation, both on
-
-
Alain Bachelot - Waves in the Anti-de Sitter space-time Ads
BachelotAlainIn this talk we address some issues concerning the wave propagation in the 4D+1 anti de Sitter space time : the role of the conformal
-
Semyon Dyatlov - Spectral gaps for normally hyperbolic trapping
DyatlovSemyonMotivated by wave decay for Kerr and Kerr de Sitter black holes, we study spectral gaps for codimension 2 normally hyperbolic trapped sets with
-
Andras Vasy - Microlocal analysis and wave propagation (Part 3)
In these lectures I will explain the basics of microlocal analysis, emphasizing non elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In
-
Alexander Strohmaier - Workshop
StrohmaierAlexanderI will explain how one can formulate and formalize the Gupta Bleuler framework for the Quantization of the electromagnetic field in an
Avec les mêmes intervenants et intervenantes
-
Maciej Zworski - Fractal uncertainty for transfer operators
ZworskiMaciejI will present a new explanation of the connection between the fractal uncertainty principle (FUP) of Bourgain-Dyatlov, a statement in harmonic analysis, and the existence of zero free strips for
Sur le même thème
-
"Le mathématicien Petre (Pierre) Sergescu, historien des sciences, personnalité du XXe siècle"
HerléaAlexandreAlexandre HERLEA est membre de la section « Sciences, histoire des sciences et des techniques et archéologie industrielle » du CTHS. Professeur émérite des universités, membre effectif de l'Académie
-
Webinaire sur la rédaction des PGD
LouvetViolaineRédaction des Plans de Gestion de Données (PGD) sous l’angle des besoins de la communauté mathématique.
-
Alexandre Booms : « Usage de matériel pédagogique adapté en géométrie : une transposition à interro…
« Usage de matériel pédagogique adapté en géométrie : une transposition à interroger ». Alexandre Booms, doctorant (Université de Reims Champagne-Ardenne - Cérep UR 4692)
-
D. Stern - Harmonic map methods in spectral geometry
SternDanielOver the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian eigenvalues on closed surfaces has attracted the attention of many geometers, due in part to
-
R. Bamler - Compactness and partial regularity theory of Ricci flows in higher dimensions
BamlerRichard H.We present a new compactness theory of Ricci flows. This theory states that any sequence of Ricci flows that is pointed in an appropriate sense, subsequentially converges to a synthetic flow.
-
P. Burkhardt - Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow
Burkhardt-GuimPaulaWe propose a class of local definitions of weak lower scalar curvature bounds that is well defined for C0 metrics. We show the following: that our definitions are stable under greater-than-second
-
C. Li - Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions
LiChaoIn this talk, I will discuss some recent developments on the topology of closed manifolds admitting Riemannian metrics of positive scalar curvature. In particular, we will prove if a closed PSC
-
T. Ozuch - Noncollapsed degeneration and desingularization of Einstein 4-manifolds
OzuchTristanWe study the noncollapsed singularity formation of Einstein 4-manifolds. We prove that any smooth Einstein 4-manifold close to a singular one in a mere Gromov-Hausdorff (GH) sense is the result
-
D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato condition
TewodroseDavidPresentation of a joint work with G. Carron and I. Mondello where we study Kato limit spaces.
-
Y. Lai - A family of 3d steady gradient Ricci solitons that are flying wings
LaiYiWe find a family of 3d steady gradient Ricci solitons that are flying wings. This verifies a conjecture by Hamilton. For a 3d flying wing, we show that the scalar curvature does not vanish at
-
A. Mondino - Time-like Ricci curvature bounds via optimal transport
MondinoAndreaThe goal of the talk is to present a recent work in collaboration with Cavalletti (SISSA) on optimal transport in Lorentzian synthetic spaces. The aim is to set up a “Lorentzian analog” of the
-
M. Lesourd - Positive Scalar Curvature on Noncompact Manifolds and the Positive Mass Theorem
LesourdMartinThe study of positive scalar curvature on noncompact manifolds has seen significant progress in the last few years. A major role has been played by Gromov's results and conjectures, and in
