ICTP/SISSA Algebraic Geometry Seminar - Wednesday 1 February, at 16:00 (in presence)/Andrea Ricolfi

[ICTP Math Section]

_ICTP/SISSA Algebraic Geometry Seminar_

Wednesday, 1 February, from 16:00 to 18:00

VENUE: Leonardo Building - Luigi Stasi Seminar Room


_/Please note: the seminar talk will be split in 2 parts/_

Speaker: Andrea Ricolfi (SISSA)

Title 1:   Enumerative invariants of Quot schemes…

Abstract 1: We will motivate the study of generating functions of 
enumerative invariants (such as the Euler characteristic) attached to 
interesting moduli spaces, such as Hilbert schemes and Quot schemes of 
nonsingular varieties. We will use naive cut-and-paste techniques to 
write down a few explicit formulas.

Title 2:   … and their virtual refinements

Abstract 2: In the second part of the talk we will define K-theoretic 
invariants attached to the Quot scheme of points of affine 3-space, and 
we will provide a closed formula for the generating function of these 
invariants (the "higher rank Donaldson-Thomas invariants" of A^3). This 
formula was the Awata-Kanno conjecture in String Theory. The proof of 
this formula is a joint work with N. Fasola and S. Monavari.

https://indico.ictp.it/event/10261

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