Finite tensor categories: their cohomology and geometry
September 16 to September 20, 2024
at the
American Institute of Mathematics,
Pasadena, California
organized by
Nicolas Andruskiewitsch,
Ivan Angiono,
Julia Pevtsova,
and Julia Plavnik
Original Announcement
This workshop will be devoted to the conjecture on finite generation of cohomology for finite tensor categories. This conjecture, stated by Etingof and Ostrik in 2004, has origins in the fundamental results of the cohomology ring a finite group scheme due to Venkov, Evens, Friedlander, Parshall, and Suslin. There have been recent advances both for families of finite dimensional Hopf algebras in zero characteristic whose structure is understood and for finite group schemes over an arbitrary commutative Noetherian base.
The main topics for the workshop are
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Finite generation of cohomology of symmetric tensor categories in positive characteristic.
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Finite generation of cohomology of finite dimensional Hopf algebras and tensor categories.
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Applications of cohomological finite generation to tensor triangular geometry.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.
Workshop videos
