Scientific Calendar Event

Starts 1 Feb 2023 16:00
Ends 1 Feb 2023 18:00
Central European Time
Leonardo Building - Luigi Stasi Seminar Room
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.