mgraffeo at sissa.it
Fri May 15 17:23:13 CEST 2020
Online Seminar Announcement
The following seminar will take place on zoom the 19 of may:
Speaker: Andrea Ricolfi
Title: Higher rank K-theoretic Donaldson-Thomas theory via quot schemes
Abstract: Recently Okounkov proved Nekrasov’s conjecture expressing
the partition function of K-theoretic DT invariants of the Hilbert
scheme of points Hilb(C^3,points) on affine 3-space as an explicit
plethystic exponential. We generalise Nekrasov’s formula to higher
rank, where the quot scheme of finite length quotients of O^r replaces
Hilb(C^3,points). This proves a conjecture of Awata-Kanno.
Specialising to cohomological invariants, we obtain the statement of
Szabo’s conjecture. We finally observe that the quot scheme under
consideration is canonically isomorphic to the moduli space of framed
sheaves on P^3.
This is joint work with Nadir Fasola and Sergej Monavari.
Here is the link:
Meeting ID: 977 0982 0445
Everyone is welcome to attend!
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