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UID:event-155142@localz.events
DTSTAMP:20261113T062659Z
LAST-MODIFIED:20261106T063105Z
DTSTART:20261113T200000Z
DTEND:20261113T220000Z
SUMMARY:Infinite-Dimensional Algebra Seminar
DESCRIPTION:Speaker: Tudor Pădurariu (University of Bonn​​​​​​
 ​) Title: Abelian quasi-BPS categories Abstract: I will report on joint 
 work in progress with Sabin Cautis and Yukinobu Toda. The Grothendieck gro
 up of the Hall category of a quiver is isomorphic to a positive half of th
 e quantum affine algebra corresponding to the quiver. We show that two str
 uctures on the Hall category are compatible: a perverse coherent t-structu
 re and a filtration by window categories. In particular\, we construct t-s
 tructures on the so-called quasi-BPS categories\, which generate Hall cate
 gories. We thus obtain a refinement of the total BPS cohomology of the qui
 ver\, whose dimension is the value at one of the Kac polynomial of the qui
 ver\, in terms of nilpotent orbits. I will discuss examples of quasi-BPS c
 ategories for finite-type quivers\, where they may be compared with catego
 ries of representations of KLR algebras\, and for the Jordan quiver. As a 
 corollary\, we prove a conjecture of Gorsky–Negut about generators of…
 \n\nhttps://localz.events/e/infinite-dimensional-algebra-seminar-2-155142
LOCATION:Building 2\, Room 135\, Building 2\, Room 135\, Cambridge
GEO:42.410273;-76.539794
URL:https://localz.events/e/infinite-dimensional-algebra-seminar-2-155142
STATUS:CONFIRMED
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