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# Special Colloquium – Dr. Philip Tosteson

## December 9, 2022 @ 4:00 pm - 5:00 pm

Speaker: Dr. Philip Tosteson

Time: 4:00p-5:00p

Mode: In Person

Location: Phillips 332

Title: Symmetry and stability in configuration and moduli spaces

Abstract:

In algebraic topology, a common way to study a space X is by constructing vector spaces that detect topological information about it. If X has symmetries, then these symmetries are inherited by the associated vector spaces, providing invariants of X.

A recent discovery is that for many sequences of symmetric topological spaces X_n, the invariants of X_n exhibit a form of ** stability**:

**they follow a uniform pattern when n is large. I will talk about this phenomenon and structural explanations for it, focusing on examples from configuration spaces (spaces of particles) and moduli spaces of curves.**

**There will also be a Tea at 3:30pm in PH 330 with Dr. Tosteson on 12/9**.