Moment-Angle Complexes, Spaces of Hard-Disks and Their Associated Stable Decompositions

MEMBERS SEMINAR
Topic:Moment-Angle Complexes, Spaces of Hard-Disks and Their Associated Stable Decompositions
Speaker:Fred Cohen
Affiliation:University of Rochester; Member, School of Mathematics
Date:Monday, January 10
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/members/cohen

Topological spaces given by either (1) complements of coordinate planes in Euclidean space or (2) spaces of non-overlapping hard-disks in a fixed disk have several features in common. The main results, in joint work with many people, give decompositions for the so-called "stable structure" of these spaces as well as consequences of these decompositions. This talk will present definitions as well as basic properties.