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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Featured Speaker : Roman Gonin (HSE/Skoltech/MIT)\n\nTitle :
Twisted Fock module of quantum toroidal gl_1\n\nAbstract : \n\nThe Fock mod
ule is a basic representation of the quantum toroidal algebra\; it can be i
dentified with the equivariant K-theory of Hilbert schemes of points on C^2
. We study a twisted Fock module\, which is the same vector space\, but the
action is "twisted" by a certain automorphism of the algebra. Surprisingly
\, an attempt "to make this action explicit" leads to an appearance of an a
uxiliary quantum affine gl_n action on (twisted) Fock space. I will explain
our purely algebraic construction and formulate a conjectural application
to geometry (the conjecture of Gorsky and Negut on K-theoretic stable bases
).\n\nZoom link: https://mit.zoom.us/j/96553931513
DTEND:20200513T200000Z
DTSTAMP:20241107T093901Z
DTSTART:20200513T190000Z
LOCATION:
SEQUENCE:0
SUMMARY:Geometric Representation Theory Seminar
UID:tag:localist.com\,2008:EventInstance_33476338855190
URL:https://calendar.mit.edu/event/pde_analysis_seminar_3731
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