Title:  Eulerian Idempotents and Hodge-type decompositions of Hochschild homology

Abstract:  The Eulerian idempotents are fascinating elements of the group algebra of the symmetric group.  They were first investigated in the 1980's, arising in multiple contexts including topology, representation theory, and combinatorics.  In this talk, we will survey how Eulerian idempotents can be used to produce splittings of Hochschild homology.  If time permits, we will also discuss type B Eulerian idempotents and splittings of Hochschild homology for algebras with an involution.