Department of

# Mathematics

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

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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
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1  2  3  4  5  6  7             1  2  3  4                   1  2
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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.