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Dynamics in Siberia - 2019
February 25, 2019 14:30–15:00, Novosibirsk, Sobolev Institute of Mathematics of Russian Academy of Sciences, Conference Hall
 

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Spectral curves and separation of variables for hyperelliptic Hitchin systems of types $A_n$, $B_n$, $C_n$

O. K. Sheinman

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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

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