Working seminar on analytic group theory

(2011-2012)

Working seminar on analytic group theory

(2011-2012)

Next talk:

April Tuesday 24th, 13:00

(organized by Dmitry Jakobson and Mikael Pichot)

On a G-dimension for l^p spaces

Location: The seminar meets on Tuesdays at 1pm in BURN1205

Antoine Gournay

(Partial list of) References:

P. Sarnak. "Some applications of modular forms", Chapter 2.

Previous talks:

February Tuesday 14th, 13:00

Spectra of elements in the group ring of SU(2)

Abstract: We present the results from the 1999 paper with A. Gamburd and P. Sarnak "Spectra of elements in the group ring of SU(2)."

We present an elementary method for constructing finitely generated subgroups of SU(2) with the "spectral gap" property. This provides an elementary solution of the Ruziewicz problem on S^2. We also discuss a natural generalization of the Diophantine property for non-commutative subgroups of SU(2) that turned out to be a crucial ingredient in subsequent generalizations of that work by A. Gamburd, J. Bourgain and P. Sarnak.

Dmitry Jakobson

February Tuesday 28th, 13:00

Spectra of elements in the group ring of SU(2) - Part 2

Dmitry Jakobson

S. Hoory, N. Linial and A. Wigderson. Expander graphs and their applications.

See: http://www.cs.huji.ac.il/~nati/PAPERS/expander_survey.pdf

March Tuesday 27th, 13:00

Groups, Zigzags and Expanders

Maxime Bergeron