# Symmetric powers and the étale Dold-Thom theorem

## Arnav Tripathy(Stanford)

After reminding everyone why the symmetric powers Symn X of a scheme arise and are interesting from the point of view of the Weil conjectures, I'll recall the Dold-Thom theorem of algebraic topology, which governs the behavior of symmetric powers of a topological space. I'll then explain how the notion of étale homotopy allows us to compare these two realms of arithmetic geometry and algebraic topology, providing a homotopical refinement of a small part of the Weil conjectures.

Tuesday, January 20th, at 4:00pm in HBH 227

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