Видеотека: O. K. Sheinman, Spectral curves and separation of variables for hyperelliptic Hitchin systems of types $A_n$, $B_n$, $C

ВИДЕОТЕКА


Dynamics in Siberia - 2019 25 февраля 2019 г. 14:30, Новосибирск, Институт математики им. С.Л.Соболева СО РАН, конференц-зал

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Spectral curves and separation of variables for hyperelliptic Hitchin systems of types $A_n$, $B_n$, $C_n$ О. К. Шейнман
Аннотация: We give a description of families of spectral curves for Hitchin systems of types $A_n$, $B_n$, $C_n$ on hyperelliptic curves of all genera. On this basis, we develop the separation of variables scheme for those systems, and explicitly find out Darboux oordinates for them. The case $D_n$ will be considered in the related talk by P.Borisova. Язык доклада: английский