GT Seminar with Tasos Moulinos (Université Paris 13)
- Date
- 9 February 2023, 13:15–14:15
- Location
- Ångström Laboratory, room Å64119 and on zoom https://uu-se.zoom.us/j/68210068219
- Type
- Seminar
- Lecturer
- Tasos Moulinos (Université Paris 13)
- Organiser
- Matematiska institutionen
- Contact person
- Noémie Legout
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).