U. Haifa Topology & Geometry seminar: Sunday, May 29, 2022. Speaker: Markus Upmeier (Aberdeen). Title: “Cobordism categories and Atiyah-Singer index theory”.
Time: 17:00 (Israel Time)
Location: On Zoom
Recording:
Abstract.
I will discuss work in progress that categorifies the analytic index of Atiyah-Singer in terms of a new construction using representation theory of Clifford algebras. My main theorem shows that these new categorical indices can be organized into an invertible TQFT, in other words, a categorical group representation of the cobordism category.
The motivation for all this is that the construction of enumerative invariants requires a good understanding of differential-topological properties of moduli spaces, and the main theorem has applications to this. Important examples include instanton counting problems in gauge theory and algebraic geometry.
ZOOM COORDINATES:
https://us02web.zoom.us/j/84987591026?pwd=aTJWcFlOSldKck5leGt2d25CYkRqZz09
Meeting ID: 849 8759 1026
Future speakers:
Denis-Charles Cisinski (Regensburg) – June 5th.
