## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** The Cyclotomic Hodge Filtration

**Speaker:** Saul Glasman

**Speaker Info:** MIT

**Brief Description:**

**Special Note**:

**Abstract:**

In the 80s, Loday defined a filtration on the Hochschild homology of a commutative algebra A that recovers the Hodge filtration of the de Rham complex of A in the case where A is a smooth Q-algebra. The subject of this talk is a refinement of this to a filtration by spectra of the topological Hochschild homology of a commutative ring
spectrum. I'll discuss why one would want such a thing; in particular, similar objects are implicated in the study of special values of L-functions. Then I'll talk about how to construct it, and if time permits, how to lift it to a filtration of topological cyclic homology using the techniques of equivariant stable homotopy theory.

**Date:** Monday, October 20, 2014

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. Paul Goerss

**Contact email:** pgoerss@math.northwestern.edu

**Contact Phone:** 847-491-8544

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