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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.