Department of Mathematics,
University of California San Diego
****************************
Enumerative Geometry Seminar
Andrea Ricolfi
SISSA
Higher rank K-theoretic Donaldson-Thomas theory of points
Abstract:
Recently Okounkov proved Nekrasovs conjecture expressing the partition function of K-theoretic DT invariants of the Hilbert scheme of points Hilb($\mathbb C^3$, points) on affine 3-space as an explicit plethystic exponential. We generalise Nekrasovs formula to higher rank, where the Quot scheme of finite length quotients of the trivial rank $r$ bundle replaces Hilb($\mathbb C^3$,points). This proves a conjecture of Awata-Kanno. Specialising to cohomological invariants, we obtain the statement of Szabos conjecture. We discuss some further applications if time permits. This is joint work with Nadir Fasola and Sergej Monavari.
Host: Dragos Oprea
April 21, 2020
9:00 AM
Zoom (contact host for zoom link)
****************************