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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Topics in Representation Theory Refined Action of the Ring of Symmetric Functions on Fock Space
Refined Action of the Ring of Symmetric Functions on Fock Space
Organizers
Semen Artamonov , Pavel Nikitin , Shamil Shakirov
Speaker
Maksim Karev
Time
Wednesday, February 12, 2025 1:00 PM - 2:30 PM
Venue
A3-4-301
Online
Zoom 242 742 6089 (BIMSA)
Abstract
There are two well-established actions of the ring of symmetric functions on Fock space. The first action is derived from the Fock space's representation as a direct sum of centers of symmetric group algebras. The second action emerges from viewing Fock space as the algebra of endomorphisms associated with the representation of the hyperoctohedral group induced to the symmetric group. In this talk, I will present a three-parameter family of representations of the ring of symmetric functions on Fock space that encompasses both of these known actions. This work is a collaboration in progress with R. Fesler, M. Hahn, and H. Markwig.
Beijing Institute of Mathematical Sciences and Applications
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