I will discuss formulas of generators of the center of the completed quantum affine algebra in type A at the critical level. They are associated with primitive idempotents of the Hecke algebra and parameterized by Young diagrams. The Harish-Chandra images of the Sugawara operators are identified with the eigenvalues of the operators acting in the q-deformed Wakimoto modules. This recent joint work relies on suitable q-versions of the symmetric group and new ingredients of the Hecke algebra.

22 May 2023
3:00pm - 4:00pm
Where
Room 4472 (Lifts 25/26)
Speakers/Performers
Prof. Naihuan JING
North Carolina State University
Organizer(S)
Department of Mathematics
Contact/Enquiries
Payment Details
Audience
Alumni, Faculty and staff, PG students, UG students
Language(s)
English
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