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CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Ilya Dumanski\, MIT\n\n\nTitle: Coherent Satake category\, Q-sy
stems\, and Feigin-Loktev fusion product\n\n\nAbstract: Feigin--Loktev fusi
on product is an operation between graded cyclic modules over the current L
ie algebra. We explain how it is related to monoidal operations in two othe
r categories: modules over the quantum loop group and the category of perve
rse coherent sheaves on the affine Grassmannian. This relation may explain
similarities between these two categories (most notably the cluster pattern
s). Moreover\, this allows us to tranfer some results from one of these cat
egories into another. Namely\, we establish the existence of short exact se
quences in the coherent Satake category\, which are analogs of Q-systems\,
and which conjecturally stand for cluster mutations in this category. Based
on arXiv:2308.05268.
DTEND:20240429T233000Z
DTSTAMP:20241003T132515Z
DTSTART:20240429T223000Z
GEO:34.022409;-118.291027
LOCATION:Kaprielian Hall (KAP)\, 414
SEQUENCE:0
SUMMARY:Algebra Seminar: Coherent Satake category\, Q-systems\, and Feigin-
Loktev fusion product
UID:tag:localist.com\,2008:EventInstance_46260370848810
URL:https://calendar.usc.edu/event/algebra-seminar-coherent-satake-category
-q-systems-and-feigin-loktev-fusion-product
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