セミナー

2019年12月9日(月)立命館大学幾何学セミナー

2019.12.04 Wed up
<<立命館大学幾何学セミナー>>

日時:2019年12月9日(月) 16:30~17:30

タイトル:BV structures on moduli spaces of flat connections

講演者:Pavol Severa (University of Geneva)

アブストラクト:
Loops (or rather their homotopy classes) on an oriented surface form a Lie algebra, originally discovered by Goldman. The Lie bracket is given by a simple formula involving intersection points of two loops. This Lie algebra can be interpreted as the Poisson bracket on a moduli space of flat connections (given by the famous Atiyah-Bott symplectic form), if to each loop we assign the trace of the holonomy along the loop. Loops come also with another operation, a Lie cobracket discovered by Turaev, given by a very similar formula. I will explain what is the corresponding geometric structure on the moduli space. I will also try to explain why this structure is interesting and how it relates to the Kashiwara-Vergne problem in Lie theory. Based on a joint work in progress with Anton Alekseev, Florian Naef, and Jan Pulmann.

場所:立命館大学びわこ・くさつキャンパス(BKC)
   ウェストウィング 6階 談話会室

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