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Math and Stats Colloquium: The string topology coproduct: what is it, and why it is so cool.
Friday, Oct. 18, 2024, 4–5 p.m.
Holt 175
Lea Kenigsberg — UC Davis Title: The string topology coproduct: what is it, and why it is so cool. Abstract: Let M be a smooth manifold, for example a higher dimensional sphere. The free loop space is the space of all maps from the circle to M. The loop space admits a very rich structure which reveals deep geometric and topological information about manifolds. In this talk I will describe the string topology coproduct, and the kind of information it encodes. In particular, I will discuss interesting connections to invariants from algebraic K-theory and fixed point theory. This is based on joint work with Noah Porcelli.