BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Rob Muth (Duquesne University)
DTSTART:20260728T063000Z
DTEND:20260728T073000Z
DTSTAMP:20260714T041857Z
UID:OISTRTS/79
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/79/"
 >Crystals and KLR representations in type $A_1^{(1)}$</a>\nby Rob Muth (Du
 quesne University) as part of OIST representation theory seminar\n\n\nAbst
 ract\nCrystal bases are a powerful tool for studying representations of qu
 antum groups\, and the crystal $B(\\infty)$ plays a central organizing rol
 e: it encodes the combinatorial skeleton of highest weight representations
  and arises naturally in the categorification program. I will discuss two 
 important models for this crystal in the ‘easiest' affine type $A_1^{(1)
 }$: Kleshchev multipartitions\, which describe branching rules for cycloto
 mic Hecke algebras\, and affine MV polytopes\, which encode PBW data for t
 he affine $\\mathfrak{sl}_2$ quantum group. I will sketch a combinatorial 
 dictionary between these models. These two perspectives interact naturally
  in the realm of KLR algebras\, where they govern different representation
 -theoretic regimes. Translating between regimes recovers some new results 
 in the 2-modular representation theory of symmetric groups.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/79/
END:VEVENT
END:VCALENDAR