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SUMMARY:GAAG seminar - Quantum groups from cohomological Donaldson-Thomas 
 theory
DTSTART:20250514T130000
DTEND:20250514T150000
DTSTAMP:20260405T201732Z
UID:09331a178d78acb53375bb6fbbd843972bad6bc0fd38c74d5ba050e0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Shivang Jindal\nIn 2010\, Kontsevich and Soibelman defined Coh
 omological Hall Algebras for quivers and potential as a mathematical const
 ruction of the algebra of BPS states. These algebras are modeled on the co
 homology of vanishing cycles\, which makes these algebras particularly har
 d to study but often result in interesting algebraic structures. A deforma
 tion of a particular case of them gives rise to a positive half of Maulik-
 Okounkov Yangians. The goal of my talk is to give an introduction to these
  ideas and explain how for the case of tripled cyclic quiver with canonica
 l cubic potential\, this algebra turns out to be one-half of the universal
  enveloping algebra of the Lie algebra of matrix differential operators on
  the torus\, while its deformation turn out be one half of an explicit int
 egral form of the Affine Yangian of gl(n). Time permitting\, we will see h
 ow these ideas can be fermionzed and used to study the case of resolved co
 nifold.
LOCATION:CE 1 100 https://plan.epfl.ch/?room==CE%201%20100
STATUS:CONFIRMED
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