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Posted August 17, 2026
Last modified August 21, 2026

Informal Geometry and Topology Seminar Questions or comments?

Krishnendu Kar, Louisiana State University
Matthew Lemoine, Louisiana State University
Organizational Meeting

Please join us on August 26, to discuss the upcoming semester in the Informal Geometry and Topology Seminar. We will be deciding which topic, paper, textbook, or subject, we want to learn more about. For more information, please email Matthew Lemoine or Krishnendu Kar.

Posted August 21, 2026

Geometry and Topology Seminar Seminar website

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