Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras
Hiraku Nakajima (Kavli IPMU, Tokyo, Japan)
Abstract: Balazs explained his conjecture with Gyenge and Nemethi on Euler numbers of Hilbert schemes on June 4. I proved it by showing that quantum dimensions of standard modules of quantum affine algebras are always 1. This remarkable property is the simplest case of a conjecture on quantum dimensions of Kirillov-Reshetikhin modules proposed by Kuniba in 93, which is still open for E7,8 in general. In this talk, I will emphasize on representation theoretic aspects to minimize overlaps with Balazs' talk.
mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry
Audience: researchers in the topic
Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)
Series comments: Description: Research webinar series
The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.
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| Organizers: | Severin Barmeier, Frank Neumann*, Sibylle Schroll* |
| *contact for this listing |