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

VIDEO LIBRARY


Dynamics in Siberia - 2019 February 25, 2019 14:30, Novosibirsk, Sobolev Institute of Mathematics of Russian Academy of Sciences, Conference Hall

Sections
Spectral curves and separation of variables for hyperelliptic Hitchin systems of types $A_n$, $B_n$, $C_n$ O. K. Sheinman
Abstract: 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. Language: English