Seminar

THH, shadows, and bicategorical traces

Higher algebraic structures in algebra, topology and geometry

19 April 14:15 - 16:00

Kathryn Hess - École Polytechnique Fédérale de Lausanne, EPFL

Joint work with Nima Rasekh. The theory of shadows is an axiomatic, bicategorical framework that generalizes topological Hochschild homology (THH) and satisfies analogous important properties, such as Morita invariance. I’ll explain how to use Berman's extension of THH to bicategories to prove that there is an equivalence between functors out of THH of a bicategory and shadows on that bicategory. As an application we provide a new, conceptual proof that shadows are Morita invariant and construct the shadow of THH of enriched infinity-categorical bimodules. In the first hour of the talk, I’ll provide an introduction to shadows and explain why they’re interesting, before discussing my work with Nima.

 

Click here to watch the seminar

Organizers
Gregory Arone
Stockholm University
Tilman Bauer
KTH Royal Institute of Technology
Alexander Berglund
Stockholm University
Søren Galatius
University of Copenhagen
Jesper Grodal,
University of Copenhagen
Thomas Kragh
Uppsala University

Program
Contact

Alexander Berglund

alexb@math.su.se

Søren Galatius

galatius@math.ku.dk

Thomas Kragh

thomas.kragh@math.uu.se

Other
information

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