PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Svetlana Katok.

Title:Group theoretic Dehn fillings and exotic groups.
Seminar:Department of Mathematics Colloquium
Speaker:Denis Osin, City College, CUNY
Abstract:
I shall explain how the theory of Dehn fillings of complete finite volume hyperbolic 3-manifolds can be translated to an algebraic language and generalized using relatively hyperbolic groups. The most important achievement in this direction is an algebraic analogue of Thurston's hyperbolic Dehn surgery theorem. This result can be used to answer some long standing questions in group theory. Here we mention just some of them. 1) Does there exist a finitely generated group other than Z/2Z where all nontrivial elements are conjugate? 2) A group G is called a (generalized) product of subgroups A,B if for any element g of G there are elements a,b of A and B, respectively, such that g=ab. Suppose that A and B satisfy the ascending (or descending) chain condition for subgroups. Does G satisfy the same condition?

Room Reservation Information

Room Number:MB114
Date:09 / 13 / 2007
Time:04:00pm - 05:00pm