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比利时vs摩洛哥足彩 ,
university of california san diego

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math 295 - mathematics colloquium

huanchen bao

from schur duality to quantum symmetric pairs

abstract:

the classical schur(-weyl) duality relates the representation theory of general linear lie algebras and symmetric groups. drinfeld and jimbo independently introduced quantum groups in their study of exactly solvable models, which leads to a quantization of the schur duality relating quantum groups of general linear lie algebras and hecke algebras of symmetric groups. in this talk, i will explain the generalization of the (quantized) schur duality to other classical types, algebraically, geometrically, and categorically. this new duality leads to a theory of canonical bases arising from quantum symmetric pairs generalizing lusztig’s canonical bases on quantum groups.

november 27, 2018

3:00 pm

ap&m 6402

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