PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Chun Liu.

Title:Techniques and concepts of amenability of discrete groups
Seminar:Department of Mathematics Colloquium
Speaker:Kate Juschenko (Nate Brown), Northwestern University
Abstract:
The subject of amenability essentially begins in 1900's with Lebesgue. He asked whether the properties of his integral are really fundamental and follow from more familiar integral axioms. This led to the study of positive, finitely additive and translation invariant measure on different spaces. In particular the study of isometry-invariant measure led to the Banach-Tarski decomposition theorem in 1924. The class of amenable groups was introduced and studied by von Neumann in 1929 and he explained why the paradox appeared only in dimensions greater or equal to three. In 1940's and 1950's a major contribution was made by M. Day in his paper on amenable semigroups. We will give an introductory to amenability talk, and explain more recent developments in this field.

Room Reservation Information

Room Number:MB114
Date:03 / 05 / 2015
Time:03:30pm - 04:20pm