Calendar

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Wednesday, September 16, 2026

Posted August 21, 2026

Geometry and Topology Seminar Seminar website

1:30 pm – 2:30 pm Virtual

Claudia He Yun, UiT The Arctic University of Norway
Computing stable homology representations of graph configuration spaces

Configuration spaces parametrize distinct labelled points in a topological space. They have rich geometry and have been studied extensively. In 2011, Church and Farb introduce the idea of representation stability for a sequence of representations $V_n$ of groups $G_n$. Configuration spaces lend themselves naturally to this framework. In this talk, we will focus on configuration spaces of families of graphs with a fixed number of points and discuss their stability behavior, where $V_n$ is taken to be the rational homology and $G_n$ the automorphism group of the underlying graph. We carry out extensive computational work to determine the stable homology representations for several families with 2 points, such as the star graphs, the complete graphs, and the complete bipartite graphs. We also give combinatorial interpretations to some stable subrepresentations. This is joint work with Eric Ramos. Our paper can be found on the arXiv with handle 2606.13813.

Event contact: Christin Bibby

Wednesday, October 14, 2026

Posted September 15, 2026

Geometry and Topology Seminar Seminar website

1:30 pm – 2:30 pm Virtual

Ian Cavey, University of Massachusetts Amherst
TBA

Event contact: Kyle Binder

Wednesday, October 21, 2026

Posted September 15, 2026

Geometry and Topology Seminar Seminar website

1:30 pm – 2:30 pm Lockett 233

Emily Stark, Wesleyan University
TBA