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SUMMARY:Travis Scrimshaw (Hokkaido University)
DTSTART:20240119T050000Z
DTEND:20240119T060000Z
DTSTAMP:20260423T021259Z
UID:OISTRTS/55
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/55/"
 >An Overview of Kirillov-Reshtikhin Modules and Crystals</a>\nby Travis Sc
 rimshaw (Hokkaido University) as part of OIST representation theory semina
 r\n\n\nAbstract\nKirillov-Reshetikhin (KR) modules are an important class 
 of finite dimensional representations associated to an affine Lie algebra 
 and the associated Yangian and quantum group. KR modules are known to appe
 ar in many integrable systems and govern the dynamics. In this talk\, we w
 ill give an overview of the role KR modules play in the category of finite
  dimensional representations\, R-matrices and the fusion construction\, th
 eir (conjectural) crystal bases\, and how they relate to Demazure modules.
  In particular\, we will focus on how to construct their crystal bases com
 binatorially and the different types of character theories. As time permit
 s\, we will discuss some of the relations with (quantum) integrable system
 s.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/55/
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