演講公告

演講主題：Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations
主講人：何南國教授 (國立清華大學數學系)
演講日期：2018年5月29日(星期二) 14:00 - 15:00
演講地點：(光復校區) 科學一館223室
茶會時間：2018年5月29日(星期二) 13:30 (科學一館205室)
摘要內容：
Abstract. We propose a Lie-theoretic definition of the tt*-Toda equations for any complex simple Lie algebra $\fg$, based on the concept of topological-antitopological fusion which was introduced by Cecotti and Vafa. Our main result concerns the Stokes data of a certain meromorphic connection, whose isomonodromic deformations are controlled by these equations. Exploiting a framework introduced by Boalch, we show that this data has a remarkable structure, which can be described using Kostant's theory of Cartan subalgebras in apposition and Steinberg's theory of conjugacy classes of regular elements. A by-product of this is a convenient visualization of the orbit structure of the roots under the action of a Coxeter element. As an application, we compute canonical Stokes data of certain solutions of the tt*-Toda equations in terms of their asymptotics.

This is a joint work with Martin Guest.
相關檔案：Talk_1070529.pdf

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