Hochschild reading seminar
The seminar will be divided between a lecture series/learning seminar on Hochschild homology and its various generalizations, and talks given by invited speakers. Please write us about speakers you would like to invite to the seminar. Please also write us if there is a particular topic you would like to speak or hear about in the Hochschild talks. Here is a list of talks that we would like to have in the seminar:
Talks:

Hochschild homology and the free loop space: HH of group rings

Basic results: Boperator, HochschildKostantRosenberg

Cyclic homology and homotopy orbits/equivariant homology

Ktheory and the Dennis trace

The goodwillie isomorphism theorem

Topological Hochschild homology

Algebraic Ktheory of spaces and automorphisms of manifolds

TC and calculations for F_p

The cyclotomic trace and assembly maps

The DundasMcCarthy theorem, calculations of A(pt)
Literature: Loday: Cyclic homology, DundasGoodwillieMcCarthy: The local structure of algebraic Ktheory, Madsen: Ktheory and traces, NikolausScholze: On topological cyclic homology, Waldhausen: Algebraic Ktheory of spaces. The goal is that every talk should explain or calculate some interesting example. There are various ways that this can continue or be elaborated. Some suggestions are:  connections to string topology  The FarrellJones and Novikov conjectures  the de RhamWitt complex and padic Hodge theory  foundational aspects on infinity categories or equivariant stable homotopy  Functor calculus and the proof of the DundasMacCarthy theorem Suggestions are very welcome.