Geometry and Physics seminar @ IGAP - Friday June 28 at 10:00 (Nadir FASOLA)

[ICTP Math Section]

Geometry and Physics seminar @ IGAP


Friday 28 June, at 10:00 hrs.


VENUE:  IGAP Seminar room (Former SISSA building, II floor, via Beirut)


Speaker: Nadir Fasola (SISSA)


Title: Nested instantons and punctual nested Hilbert schemes


Abstract: Nested Hilbert schemes of points and curves on smooth 
projective surfaces carry interesting quantities for both geometry and 
physics. Their virtual fundamental classes have been shown to recover 
both the virtual classes of SW and reduced stable pair theories, while 
their obstruction theories can be used to obtain information about VW 
and reduced DT invariants.

We show that the effective SUSY theory of a certain surface defect gives 
rise to a quiver GLSM which, in a particular case, models punctual 
nested Hilbert schemes on the complex plane. We will show how the 
partition function of such a theory naturally computes certain virtual 
invariants of these moduli spaces and how these results relate to a 
conjecture of Hausel, Letellier and Rodriguez-Villegas about the 
cohomology of character varieties.

http://indico.ictp.it/event/8997/

-- 

Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

For to be free is not merely to cast off one's chains, but to live in a way
that respects and enhances the freedom of others. Nelson Mandela