Geometry and Analysis on groups
Neuchâtel, May 30-31, 2013

Schedule

The talks will be 50 minutes long. There will be 5 talks on Thursday May 30 (starting at 10.00 AM, finishing at 05.10 PM) and 4 talks on Thursday May 31 (starting at 9.00 AM, finishing at 02.20 PM). Here are the details:

TimeThursday, May 30TimeFriday, May 31
9:00-9:50Antolin-Pichel
10:00-10:50Ciobanu10:00-10:50Khukhro
11:20-12:10Stalder11:20-12:10Vaes
13:30-14:20Monod
14:00-14:50Moon14:20-...Pétanque! (optional)
15:00-15:50Nagnibeda
16:20-17:10Caprace

Titles and Abstracts

Yago ANTOLIN-PICHEL (Neuchâtel)

Title: Affine isometric actions on L^p spaces for graph products.

Abstract: I will show that the property of admitting affine isometric actions on L^p spaces is preserved under graph products. This is a joint work with Dennis Dreessen.

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Pierre-Emmanuel CAPRACE (UC Louvain-la-Neuve)

Title: Infinitesimal structure of simple locally compact groups.

Abstract: This talk concerns compactly generated simple locally compact groups. The case of connected groups is well understood: it corresponds exactly to the simple Lie groupes. The complementary case is that of totally disconnected groups. The goal of the talk is to illustrate that, if one excludes discrete groups, the groups in question carry a surprisingly rich structure, notably from a dynamical viewpoint, which arises from a study of arbitrary small identity neighbourhoods. This is based on a joint work with Colin Reid and George Willis.

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Laura CIOBANU (Neuchâtel)

Title: Sofic groups: graph products and graphs of groups.

Abstract: In this talk I will give a short introduction to sofic groups and then will prove two results. I will prove that graph products of sofic groups are sofic, as are graphs of groups for which the vertex groups are sofic and edge groups amenable. This is joint work with Sarah Rees and Derek Holt.

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Nicolas MONOD (Lausanne)

Title: Deforming Lobachevsky space.

Abstact: Together with Pierre Py, we deform and deface the beautiful Lobachevsky space, making it bloat and blister (with Depardieu playing part of horoball). attached video

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Soyoung MOON (Dijon)

Title: Results on highly transitive actions of groups acting on trees.

Abstact: We show that a group acting on a non-trivial tree with icc vertex stabilizers and finite edge stabilizers admits a faithful and highly transitive action on an infinite countable set. This result holds in more general cases, namely for infinite vertex stabilizers and highly core-free edge stabilizers. I will explain the notion of highly core-free subgroups and give some examples. This is joint work with P. Fima and Y. Stalder.

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Ana KHUKHRO (Clermont-Ferrand)

Title: Box spaces and coarse geometry.

Abstract: Box spaces are a class of metric spaces which can be built from finitely generated residually finite groups. Connections between properties of a group and geometric properties of its box space mean that box spaces are often a good source of examples of spaces with interesting, sometimes counterintuitive properties in coarse geometry. I will give some background and describe certain nice box spaces of finitely generated free groups.

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Tatiana NAGNIBEDA (Geneva)

Title: On infinite Ramanujan graphs

Abstract: It is easy to see from the definition that the well-known concept of a Ramanujan graph (a best possible expander) can easily be extended from finite to infinite graphs. As it is the case in the finite world, infinite Ramanujan graphs are rather odd and rare objects. Their geometry will be in the focus of this talk.

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Yves STALDER (Clermont-Ferrand)

Title: Highly transitive actions of free products.

Abstract: Motivated by a question of Garion-Glasner, we re-discovered that a non-trivial free product densely embeds in the symmetric group S(X), where X is an infinite countable set, if and only if it is not isomorphic to the infinite dihedral group. This is joint work with S. Moon. In this talk, I will explain our approach and give some ideas about former approaches by Glass-McCleary, Gunhouse and Hickin which give the same result.

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Stefan VAES (KU Leuven)

Title: The free group F_n has cost n, an elementary proof.

Abstract: The cost is an invariant of countable probability measure preserving equivalence relations, defined by Levitt and studied in detail by Gaboriau who proved that the orbit equivalence relation of a free action of the free group F_n has cost n. As a consequence, the free groups F_n and F_m, with n different from m, do not admit orbit equivalent actions. I will present an elementary proof of this result.


Dernière mise à jour - Updated on: 2013/4/30.

Return to the conference's webpage

Accueil - Home