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SUMMARY:Cohomological Hall Algebras\, Vertex Algebras and Instantons
DTSTART;VALUE=DATE-TIME:20180619T090000Z
DTEND;VALUE=DATE-TIME:20180619T100000Z
DTSTAMP;VALUE=DATE-TIME:20190917T062519Z
UID:indico-event-3534@indico.math.cnrs.fr
DESCRIPTION:The notion of Cohomological Hall algebra (COHA) was introduced
in our joint paper with Maxim Kontsevich 10 years ago. It can be thought
of as a mathematical incarnation of the notion of BPS algebra envisioned b
y physicists Harvey and Moore in the 90's.\n\nMathematically\, COHA is an
associative algebra structure on the cohomology of the moduli stack of obj
ects of a 3-dimensional Calabi-Yau category with coefficients in a certain
constructible sheaf. Interesting categories can be of geometric or algebr
aic origin (sheaves on Calabi-Yau 3-folds\, quivers with potential\, etc.)
.\n\nIn the talk I plan to discuss actions of COHA on the cohomology of ce
rtain instanton moduli spaces (spiked instantons of Nekrasov). This gives
a relationship of COHA with affine Yangians and more recent "vertex algebr
as at the corner" introduced by Gaiotto and Rapcak.\n\nhttps://indico.ma
th.cnrs.fr/event/3534/
LOCATION:IHES Centre de conférences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/3534/
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