Speaker: | Giovanni Felder (ETH Zurich/IPMU) |
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Title: | Gaudin subalgebras and stable rational curves. |
Date (JST): | Tue, Dec 08, 2009, 17:30 - 19:00 |
Place: | Room 002, Mathematical Sciences Building, Komaba Campus |
Abstract: |
We show that Abelian subalgebras of maximal dimensions spanned by generators of the n-th Kohno-Drinfeld Lie algebra are classified by the Grothendieck-Knudsen moduli space of stable rational curves with n+1 marked points. I will explain the relation with Gaudin integrable systems of statistical mechanics and the representation theory of the symmetric group in the formulation of Vershik and Okounkov. The talk is based on joint work with Leonardo Aguirre and Alexander Veselov. |