GT Seminar with Tasos Moulinos (Université Paris 13)

  • Date: –14:15
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 room Å64119 and on zoom https://uu-se.zoom.us/j/68210068219
  • Lecturer: Tasos Moulinos (Université Paris 13)
  • Organiser: Matematiska institutionen
  • Contact person: Noémie Legout
  • Seminarium

Welcome to this seminar held by Tasos Moulinos (Université Paris 13) with title "A tour through the topological K-theory of dg categories":

Abstract: I will discuss some of my past work on the topological K-theory of dg categories. This is an invariant which shares some formal properties with algebraic K-theory but which lands in the infinity category of KU-module spectra.

In particular it is a “localizing invariant of complex-linear differential graded categories” which outputs a KU-module spectrum. I will begin the talk with motivations coming by way of Hodge theoretic mirror symmetry, and will proceed to describe the basic construction, originally due to Blanc. I will then describe a variant of this construction from previous work, relative to any base complex scheme, together with applications of such a construction towards computations in twisted K-theory, and towards the theory of variations of Hodge structures.  Time permitting, I will describe some open questions.

See upcoming seminars in our seminar series on Geometry and Topology (GT).

Last modified: 2022-09-27