Семинары: A. S. Gorsky, The Matsuo-Cherednik duality and truncation of Calogero model eigenfunctions

СЕМИНАРЫ


Семинар отдела теоретической физики МИАН 5 июня 2024 г. 13:30, г. Москва, МИАН, комн. 313 (ул. Губкина, 8)

The Matsuo-Cherednik duality and truncation of Calogero model eigenfunctions A. S. Gorsky Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
Аннотация: The Matsuo-Cherednik duality between the solutions to KZ equations and eigenfunctions of Calogero-Moser Hamiltonians is used to get the polynomial $p^s$-truncation of the Calogero-Moser eigenfunctions at a rational coupling constant. The truncation procedure uses the integral representation for the hypergeometric solutions to KZ equations. $s \to \infty$ limit to the pure p-adic case has been analyzed in the $n=2$ case Based on joint paper arXiv:2312.01976 with Alexander Varchenko. Язык доклада: английский