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Dynamics in Siberia - 2019
25 февраля 2019 г. 15:00–15:30, Новосибирск, Институт математики им. С.Л.Соболева СО РАН, конференц-зал
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Sections
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Separation of variables for type $D_n$ Hitchin systems on hyperelliptic curves
П.Борисова |
Количество просмотров: |
Эта страница: | 67 |
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Аннотация:
Darboux coordinates for the Hitchin systems were known only in case of Lie algebra $\mathfrak{sl}(2)$ and a curve of genus 2, until recently. A description of the class of spectral curves for the Hitchin systems on hyperelliptic curves of all genera was given by O.K.Sheinman (2018). For Lie algebras of types $A_n$, $B_n$, $C_n$ the Darboux coordinates were found there in an explicit form. The main goal of my talk is to exhibit the difficulties arising in the case $D_n$, and find out Darboux coordinates for $n=2$ (Lie algebra $\mathfrak{so}(4)$) and genus two. The talk is a natural continuation of the talk by O.K. Sheinman, where the cases of Lie algebras $A_n$, $B_n$, $C_n$ are discussed.
Язык доклада: английский
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