McKay correspondence in DT theory of Calabi-Yau 4-folds

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Event details

Date 26.04.2022
Hour 13:1515:00
Speaker Sergej Monavari (Universiteit Utrecht)
Location
Category Conferences - Seminars
Event Language English

The (generalized) McKay correspondence relates the representation theory of a finite subgroup G<SL(n,C) with the geometry of a crepant resolution of C^n/G. Lately, this correspondence has been studied at the level of derived categories and in the enumerative geometry of Calabi-Yau three-folds (Gromov-Witten/Donaldson-Thomas theories). More recently, Oh-Thomas developed an algebraic machinery to count sheaves on Calabi-Yau 4-folds. We show how theMcKay correspondence naturally (and conjecturally) extends to this new setting, and how it specializes to many enumerative results already known in the literature. This is joint work (in progress!) with Y. Cao and M. Kool.

Practical information

  • Informed public
  • Free

Organizer

  • Dimitri Wyss

Contact

  • Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)

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