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Texas A&M University

Groups and Dynamics Seminar

Organizers: Rostislav Grigorchuk, Volodia Nekrashevych, Zoran Šunić, and Robin Tucker-Drob. Arman Darbinyan

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LocationSpeaker Title click for abstract
iCal 01/29
BLOC 220 Tianyi Zheng
Properties and construction of FC-central extensions
iCal 02/05
BLOC 220 Arman Darbinyan
Subgroups of left-orderable simple groups
iCal 02/12
BLOC 220 Florent Baudier
Texas A&M
On the metric geometry of the planar lamplighter group
iCal 02/19
BLOC 220 Jintao Deng
Texas A&M
The Novikov conjecture and group extensions
iCal 02/26
BLOC 220 Yuri Bakhturin
Memorial University of Newfoundland
Actions of maximal growth
iCal 03/18
BLOC 220 David Kerr
Texas A&M
(Talk is cancelled due to epidemics)
iCal 03/25
BLOC 220 Bin Sun
UC Riverside
(Talk is cancelled due to epidemics)

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GENERAL PROBLEMS Burnside Problem on torsion groups, Milnor Problem on growth, Kaplanski Problems on zero divisors, Kaplanski-Kadison Conjecture on Idempotents, and other famous problems of Algebra, Low-Dimensional Topology, and Analysis, which have algebraic roots.

GROUPS AND GROUP ACTIONS Group actions on trees and other geometric objects, lattices in Lie groups, fundamental groups of manifolds, and groups of automorphisms of various structures. The key is to view everything from different points of view: algebraic, combinatorial, geometric, and probabalistic.

RANDOMNESS Random walks on groups, statistics on groups, and statistical models of physics on groups and graphs (such as the Ising model and Dimer model).

COMBINATORICS Combinatorial properties of finitely-generated groups and the geometry of their Caley graphs and Schreier graphs.

GROUP BOUNDARIES Boundaries of finitely generated groups: Freidental, Poisson, Furstenberg, Gromov, Martin, etc., boundaries.

AUTOMATA Groups, semigroups, and finite (and infinite) automata. This includes the theory of formal languages, groups generated by finite automata, and automatic groups.

DYNAMICS Connections between group theory and dynamical systems (in particular the link between fractal groups and holomorphic dynamics, and between branch groups and substitutional dynamical systems).

FRACTALS Fractal mathematics, related to self-similar groups and branch groups.

COHOMOLOGY Bounded cohomology, L^2 cohomology, and their relation to other subjects, in particular operator algebras.

AMENABILITY Asymptotic properties such as amenability and superamenability, Kazhdan property T, growth, and cogrowth.

ANALYSIS Various topics in Analysis related to groups (in particular spectral theory of discrete Laplace operators on graphs and groups).