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Seminars

Algebraic Geometry Seminar

Hilbert and Quot schemes of points on singular surfaces: combinatorics, geometry, and representation theory

2024/01/17 (Wed.) 15:30~17:30
  • Date : 2024/01/17 (Wed.) 15:30~17:30
  • Location : online
  • Speaker : Balázs Szendrői (University of Vienna)
  • Organizer : Arkadij Bojko Email: abojko (at) gate (dot) sinica (dot) edu (dot) tw
  • Website : https://wiki.preschema.com/ag-seminar
  • Abstract : Given a smooth algebraic surface S over the complex numbers, the Hilbert scheme of points of S is the starting point for many investigations, leading in particular to generating functions with modular behaviour and Heisenberg algebra representations. I will explain aspects of a similar story for surfaces with rational double points, with links to Nakajima quiver varieties, algebraic combinatorics and the representation theory of simple and affine Lie algebras. My talk will be based on a series of joint papers with Bertsch, Craw, Gammelgaard, Gyenge and Nemethi.
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