Department of

Mathematics


Seminar Calendar
for Special Geometry, Groups and Dynamics/GEAR events the year of Tuesday, November 14, 2017.

     .
events for the
events containing  

(Requires a password.)
More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
     October 2017          November 2017          December 2017    
 Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
  1  2  3  4  5  6  7             1  2  3  4                   1  2
  8  9 10 11 12 13 14    5  6  7  8  9 10 11    3  4  5  6  7  8  9
 15 16 17 18 19 20 21   12 13 14 15 16 17 18   10 11 12 13 14 15 16
 22 23 24 25 26 27 28   19 20 21 22 23 24 25   17 18 19 20 21 22 23
 29 30 31               26 27 28 29 30         24 25 26 27 28 29 30
                                               31                  

Monday, November 13, 2017

4:00 pm in 343 Altgeld Hall,Monday, November 13, 2017

Stability in the homology of configuration spaces

Jenny Wilson (Stanford)

Abstract: This talk will illustrate some patterns in the homology of the space F_k(M) of ordered k-tuples of distinct points in a manifold M. For a fixed manifold M, as k increases, we might expect the topology of these configuration spaces to become increasingly complicated. Church and others showed, however, that when M is connected and open, there is a representation-theoretic sense in which the homology groups of these spaces stabilize. In this talk I will explain these stability patterns, and describe higher-order stability phenomena – relationships between unstable homology classes in different degrees – established in recent work joint with Jeremy Miller. This project was inspired by work-in-progress of Galatius–Kupers–Randal-Williams.