Graph polynomials and quantum field theory
- Date
- December 9 (Tue) 15:00 - 17:00, 2025 (JST)
- Speaker
-
- Michael McBreen (Assistant Professor, Department of Mathematics, The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong)
- Venue
- Seminar Room #359 (Main Venue)
- via Zoom
- Register
- Language
- English
- Host
- Vladimir Sosnilo
The Tutte polynomial was introduced in the 1940s as a two-variable generalisation of the chromatic polynomial of a graph. It is the universal matroid invariant satisfying a deletion-contraction relation, and is the subject of much recent work.
I will describe a geometric realisation of the Tutte polynomial via the cohomology of a symplectic dual pair of hypertoric varieties. The same construction associates an interesting two-variable polynomial to any pair of symplectically dual spaces, whose one-variable specialisations recover the respective Poincare polynomials. Joint work with Ben Davison.
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