Commutative Algebra Seminar: Frobenius pushforwards and generators for the derived category, by Josh Pollitz
April 24, 2024
3:00 PM - 3:50 PM
Josh Pollitz (Syracuse University): Frobenius pushforwards and generators for the derived category
By now it is quite classical that one can understand singularities in prime characteristic local algebra/algebraic geometry, through properties of the Frobenius endomorphism. A foundational result illustrating this is the celebrated theorem of Kunz characterizing the regularity of a noetherian scheme (in prime characteristic) in terms of whether a Frobenius pushforward on that scheme is flat. In this talk, I'll discuss a structural explanation of, that also recovers, the theorem of Kunz and other theorems of this ilk. Namely, Ill discuss recent joint work with Ballard, Iyengar, Lank, and Mukhopadhyay where we show that over an F-finite noetherian scheme of prime characteristic high enough Frobenius pushforwards generate the bounded derived category.
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Date posted
May 1, 2024
Date updated
May 1, 2024
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