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SUMMARY:Shuffle algebras and quantum loop groups
DTSTART:20260607T170000Z
DTEND:20260612T120000Z
DTSTAMP:20260628T093500Z
UID:indico-event-9666@indico.global
CONTACT:contact@swissmaprs.ch
DESCRIPTION:Speakers: Andrei Negut (EPFL)\, Joshua Wen (University of Vien
 na)\, Talya Saladino\n\nShuffle algebras have long provided important tool
 s in the study of quantum groups. We plan to cover an exciting development
  of this construction\, in which Feigin-Odesskii type shuffle algebras are
  used to study quantum loop groups\, which has already had numerous applic
 ations to the theory of integrable systems\, geometric representation theo
 ry\, Macdonald polynomial theory\, algebraic combinatorics and especially 
 mathematical physics. However\, many aspects of the general theory are sti
 ll unsolved\, such as how to use shuffle algebras in order to give a compl
 ete definition of quantum loop groups for arbitrary Kac-Moody types\, how 
 to construct PBW bases in these algebras\, calculate their R-matrices and 
 classify their representations. By combining lecture series and advanced t
 alks aimed at graduate students and postdocs\, we aim to stimulate the nex
 t stage in the development of this promising theory.\nMini-courses by Davi
 d Hernandez and Alexander Tsymbaliuk.\nTalks by Mikhail Bershtein\, Benjam
 in Enriquez\, Alexandr Garbali\, Nicolle Gonzalez\, Iva Halacheva\, Duncan
  Laurie\, Bernard Leclerc\, Yegor Zenkevich.\n\nhttps://indico.global/even
 t/9666/
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LOCATION:SRS
URL:https://indico.global/event/9666/
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