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Bokstedt periodicity and Bott periodicity

Derived algebraic geometry and its applications March 25, 2019 - March 29, 2019

March 29, 2019 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Dmitry Kaledin (Steklov Mathematics Institute)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • THH

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Abstract

One of the miracles of Topological Hochschild Homology is that THH(F_p) is very simple: it is just the algebra of polynomials in one variable of degree 2. However, the existing proofs of this fact are not simple at all. I will present yet another proof that uses quite a few additional general structures THH is known to have (multiplication, a trace functor structure), but almost nothing specific to F_p.

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