Friday, January 20, 2012 at 1 PM
SETB, Room 2.508
PPOHA Grant Invited Speaker Series
University of Wisconsin at Milwaukee
Title: “l^2 Methods in Topology”
Abstract: This talk will address the research methods introduced by Atiyah in the late 70's which have recently found many applications in topology and geometric group theory. Given a group acting cellularly, properly and cocompactly on a connected CW complex, we will define the l^2 chain complex which assigns values to cells with the help of the group. We then will define l^2 (co)homology, discuss some its nice properties, and mention a few applications and related conjectures.
Interested in a Ph.D. in Mathematics? Well, it's good to know the option is there, but how does one proceed? The talk starting at 2PM will address this topic through the eyes of a current Ph.D. student. An overview of options will be provided, accompanied by the speaker's personal experience getting into a Ph.D. program.
Bio: Wiktor Mogilski is a current Ph.D. student at the University of Wisconsin-Milwaukee. He is originally from Warsaw, Poland, and came to the United States at a young age. He received his B.S. and M.S. in Mathematics from the University of Texas at Brownsville and his research interests are geometry and topology. He is currently employed under graduate research fellowship in Milwaukee and working on his dissertation.