Department of

Mathematics


Seminar Calendar
for Group Theory events the year of Friday, October 22, 2021.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, March 26, 2021

4:00 pm in Zoom,Friday, March 26, 2021

An introduction to CAT(0) cube complexes

Marissa Miller (UIUC)

Abstract: In this talk, I will introduce the notion of a CAT(k) metric spaces, which are spaces that have geometry comparable to complete simply connected surfaces of constant curvature k. We will specifically focus on CAT(0) spaces and will explore CAT(0) cube complexes in some detail, looking at various examples of these complexes and their relationships to questions in geometric group theory. Please email basilio3 (at) illinois (dot) edu for Zoom details.

Friday, October 15, 2021

4:00 pm in Altgeld Hall 347,Friday, October 15, 2021

Introduction to Geometric Group Theory and Hyperbolicity

Marissa Miller (UIUC)

Abstract: Geometric group theory is an area of math that relates groups to metric spaces via their actions on these spaces. Studying the geometric and topological properties of the metric spaces on which groups act can give information about the algebraic properties of a group, as well as the geometric properties of a group (a notion which I will make precise in the talk). I will discuss some of the basic ideas in geometric group theory, and I will provide some examples of theorems in geometric group theory using Gromov-hyperbolic groups.