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SUMMARY:GAAG seminar - Langlands branching rule for representations of qua
 ntum affine algebras
DTSTART:20260312T131500
DTEND:20260312T151500
DTSTAMP:20260921T140824Z
UID:413427d1f0ee719aefc7d6b72b93eaa9cfe5359782660d2638a4acf3
CATEGORIES:Conferences - Seminars
DESCRIPTION:Keyu Wang (University of Vienna)\nIn the Langlands corresponde
 nce\, Lie algebras appear in pairs\n\nwhose associated root data are dual 
 to each other. Such two Lie algebras\n\nare called Langlands dual Lie alge
 bras.\n\n \n\nWe are interested in the relationship between the represent
 ation\n\ntheories of Langlands dual Lie algebras. In this talk\, we first 
 recall\n\nthe character theory and introduce McGerty’s Langlands branchi
 ng rule\n\nfor finite-dimensional Lie algebras. This question naturally le
 ads us to\n\nquantum groups. We then introduce the Frenkel–Hernandez con
 jecture for\n\nquantum affine Lie algebras. Finally\, we briefly summarize
  results\n\nproved in joint work with Jingmin Guo and Jian-Rong Li.\n\n \
 n\nThis talk assumes no background in quantum groups. Familiarity with Lie
 \n\nalgebras will be helpful.
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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