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SUMMARY:Yuri Sulyma (Brown University)
DTSTART:20220404T203000Z
DTEND:20220404T213000Z
DTSTAMP:20260423T024540Z
UID:MITTop/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITTop/45/">
 Floor Homotopy Theory</a>\nby Yuri Sulyma (Brown University) as part of MI
 T topology seminar\n\nLecture held in Room 2-131 in the Simons Building.\n
 \nAbstract\nOne perspective on homotopy theory is that it is an enhanced v
 ersion of arithmetic which remembers combinatorics and symmetry. I will de
 monstrate this philosophy concretely in the case of the floor and ceiling 
 functions from arithmetic\, by explaining several situations where these a
 ppear: K-theory of truncated polynomial algebras\; Legendre's formula and 
 its q-analogue\; hyper-representation-graded TR\; and equivariant homotopy
  theory. To understand how these examples are related\, I will show how to
  construct a Tambara functor out of a prism\, and discuss a conjectural th
 eory of G-crystalline/G-de Rham cohomology generalizing q-crystalline coho
 mology and the q-de Rham complex.\n
LOCATION:https://researchseminars.org/talk/MITTop/45/
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