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1
Frame Flow on Riemannian Manifolds
03 Apr 2023 - 14 Apr 2023 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Abstract:
The frame flow of negatively curved manifolds is one of the first examples of partially hyperbolic dynamics: it is defined as an extension of the geodesic flow (which is uniformly hyperbolic) to the frame bundle of the manifold by means of parallel transport. The study of its statistical properties such as ergodicity, mixing or exponential mixing, is still widely open. We have recently shown that, under reasonable pinching assumptions on the sectional curvature, the frame flow of even-dimensional manifolds is ergodic and mixing — the odd-dimensional case being already solved by Brin-Gromov in 1980. Surprisingly, this problem is linked to questions of a very diverse nature: — in algebraic topology: the classification of the reductions of the structure groups of the sphere, — in Riemannian geometry: the existence of almost-parallel structures (e.g. Killing forms, almost-Kähler or almost-G_2 structures, etc.) — in algebraic geometry: the classification of polynomial maps between spheres. The purpose of this research project is to explore these multiple aspects of the problem and to progress on our understanding of the frame flow.
Event listing ID:
1532622
Related subject(s):
2
Higher Structures in Geometry and Mathematical Physics
17 Apr 2023 - 21 Apr 2023 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Event listing ID:
1532601
3
Motivic integration on Artin stacks
24 Apr 2023 - 28 Apr 2023 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Abstract:
P-adic integration on Deligne-Mumford stacks was used in several spectacular ad-vances (proof of the topological mirror symmetry conjecture of Hausel-Thaddeus and new proofs of geometric stabilization and the fundamental lemma by Groechenig-Wyss-Ziegler, new BPS-type invariants by Carocci-Orecchia-Wyss, etc.). A motivic version exists, which was developed by Yasuda following works of Batyrev and Denef-Loeser son the McKay correspondence. A variant of this theory was used by Loeser and Wyss to prove a motivic version of topological mirror symmetry and by Forey, Loeser and Wyss to obtain a motivic version of geometric stabilization and the fundamental lemma. If the theory of motivic integration on Deligne-Mumford stacks is now fully understood, its development in the more general setting of Artin stacks is still very much mysterious. Our aim is to develop the bases of such a theory with new applications in mind.
Event listing ID:
1532581
Related subject(s):
4
Connecting combinatorial solutions of PE and YBE via associated Hopf algebras
01 May 2023 - 05 May 2023 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Event listing ID:
1532571
Related subject(s):
5
RESEARCH SCHOOL — Spring school in Arithmetic Statistics
08 May 2023 - 12 May 2023 • Luminy, France
Organizer:
CIRM - Jean-Morlet Chair
Abstract:
The spring school serves an introduction to the conference "Arithmetic Statistics", and aims to provide PhD students and early stage researchers with the necessary background to enable them to fruitfully partake in the conference. lt will also be an occasion for Master students to have an introduction towards research in number theory.
Event listing ID:
1476293
6
School on conformal symplectic dynamics and related fields
08 May 2023 - 12 May 2023 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Event listing ID:
1532583
Related subject(s):
7
Summer school on natural language processing
12 Jun 2023 - 16 Jun 2023 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Event listing ID:
1532490
8
IMJ-PRG Summer School 2023 — Microlocal and probabilistic methods in dynamics and geometry
03 Jul 2023 - 07 Jul 2023 • Paris , France
Abstract:
Microlocal analysis and probabilistic methods have encountered a large success in the past decade, both in hyperbolic dynamics and in geometry. These developments led to a number of spectacular results and, on one hand, this summer school aims to celebrate the success of such methods by bringing together the leading specialists as well as the young researchers starting their career in these fields. On the other hand, its goal is to serve as a fertile environment and to provide young participants with the state-of-the-art analytic and probabilistic techniques used in geometry and dynamics.
Event listing ID:
1530805
Related subject(s):
9
6th Summer School of the Institute for Language, Communication and the Brain
28 Aug 2023 - 01 Sep 2023 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Event listing ID:
1532456
10
Autumn school in Bayesian Statistics
30 Oct 2023 - 03 Nov 2023 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Event listing ID:
1503111


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Last updated: 22 December 2022