Yves Cornulier (Nantes)
Tullio Ceccherini-Silberstein (Benevento)
Martin Bridson (Oxford)
Rostislav Grigorchuk (Texas A&M)
Gérard Besson (Grenoble)
Group Theory Day abstract
Abstract:
09.00 – 09.50 Gérard Besson (Grenoble)
“A Finiteness Theorem for Gromov-hyperbolic groups”
Abstract : We shall prove that given $H>0$ and $\\delta\\geq 0$ there is a finite number (up to isomorphisms) of marked groups $(\\Gamma , \\Sigma)$ which are$\\delta$-hyperbolic, torsion-free, non cyclic such that their entropy satisfies ${\\rm Entropy} (\\Gamma , \\Sigma) \\le H$. Here $\\Gamma$ is finitely generated and endowed with a (symmetric) finite generating set $\\Sigma$. The goal of the talk is to explain all the words in this abstract and give a flavour of the proof.
10.10 – 11.00 Rostislav Grigorchuk (Texas A&M)
“Multivariate growth and cogrowth”
11.10 – 12.00 Martin Bridson (Oxford)
“The geometry of free-factor complexes, subgroups of Aut(F_N), and commensurations”
14.00 – 14.50 Yves Cornulier (Nantes)
“Finitely presented simple orderable groups, after Hyde and Lodha”
15.10 – 16.00 Tullio Ceccherini-Silberstein (Benevento)
“First-order model theory, surjunctivity, and Kaplansky\'s stable finiteness conjecture”
Abstract: Using algebraic geometry methods, Xuan Kien Phung proved that the group ring of a surjunctive group with coefficients in a field is always stably finite.In other words, every group satisfying Gottschalk\'s conjecture also satisfies Kaplansky\'s stable finiteness conjecture.Based on a joint work with Michel Coornaert and Phung, I\'ll present a proof of this result based on first-order model theory.
09:00 • Université de Genève, Conseil Général 7-9, Room 1-05