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TZID:Europe/Vienna
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DTSTART:20230326T030000
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DTSTAMP:20260406T000401Z
UID:1681988400@ist.ac.at
DTSTART:20230420T130000
DTEND:20230420T150000
DESCRIPTION:Speaker: Sergey Mozgovoy\nhosted by Tamas Hausel\nAbstract: Non
 -commutative Hilbert schemes are smooth moduli spaces of framed quiver rep
 resentations. For example\, for a quiver with one vertex and no arrows the
 y can be identified with Grassmannians and for a quiver of type $A_n$ they
  can be identified with flag varieties. The non-commutative Hilbert scheme
 s possess cellular decompositions\, giving rise to non-canonical bases of 
 cohomology groups. In this talk I will discuss another basis of cohomology
  groups\, consisting of products of Chern classes of universal vector bund
 les over nc-Hilbert schemes. This basis is obtained by interpreting cohomo
 logy of nc-Hilbert schemes as a module over the cohomological Hall algebra
  of the quiver. 
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA\, 
 ISTA
ORGANIZER:
SUMMARY:Sergey Mozgovoy: Non-commutative Hilbert schemes and Hall algebras
URL:https://talks-calendar.ista.ac.at/events/4127
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