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SUMMARY:Simone Castellan: Towards K matrices for affine yangians
DTSTART:20261006T083000Z
DTEND:20261006T093000Z
DTSTAMP:20260930T214400Z
UID:indico-event-16484@indico.math.cnrs.fr
DESCRIPTION:The Yang–Baxter equation (YBE) and the reflection equation (
 RE) are two fundamental symmetries in mathematics arising from particles m
 oving along a line or a half-line. The quest for solutions of the YBE (cal
 led R-matrices) is at the very origin of the theories of quantum groups an
 d Yangians. Similarly\, solutions of the RE (called K-matrices) are closel
 y related to quantum symmetric pairs and twisted Yangians. In this talk\, 
 I will give an overview of the YBE and RE and explain how quantum groups a
 nd their coideal subalgebras provide a framework for constructing solution
 s. I will then discuss the problem of constructing K-matrices for affine Y
 angians and outline an approach being investigated in an ongoing project w
 ith Andrea Appel.\n\nhttps://indico.math.cnrs.fr/event/16484/
URL:https://indico.math.cnrs.fr/event/16484/
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