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Twisted topological Hochschild homology of equivariant spectra

[Moved Online] (∞, n)-categories, factorization homology, and algebraic K-theory March 23, 2020 - March 27, 2020

March 23, 2020 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Teena Gerhardt (Michigan State University)
Location: MSRI: Online/Virtual
  • Topological Hochschild homology

  • equivariant homotopy theory

  • algebraic K-theory

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification



Hochschild homology of a ring has a topological analogue for ring spectra, topological Hochschild homology (THH), which plays an essential role in the trace method approach to algebraic K-theory. Using norms in equivariant stable homotopy theory, one can define a twisted version of THH, which takes as input an equivariant ring spectrum. In this talk I will discuss categorical approaches to studying twisted THH, as well as computational tools. In particular, I will discuss the twisted THH of Thom spectra and the Real bordism spectrum. This talk includes joint work with Angeltveit, Blumberg, Hill, Lawson, and Mandell, as well as joint work with Adamyk, Hess, Klang, and Kong.

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H.264 Video 918_28223_8257_2-Gerhardt.mp4
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