Commutative Algebra Seminar
Spring 2020
Regular Day: Friday
Regular Time: 2:30PM - 3:20PM
Regular Location: LCB 215
| Date | Speaker | Talk Information | |
|---|---|---|---|
| View details |
February 14 |
Akhil Mathew
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I will discuss a Grothendieck topology on the category of quasi-compact quasi-separated schemes called the "arc-topology." Covers in the arc-topology are tested via rank <=1 valuation rings. This topology is motivated by classical questions in algebraic K-theory, and leads to Mayer-Vietoris style sequences. Our main result is that étale cohomology with torsion coefficients satisfies
arc-descent. This is joint work with Bhargav Bhatt.
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| View details |
February 21 |
Thomas Polstra
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In this talk we will discuss a surprising uniform property concerning the class of Cohen-Macaulay modules over strongly F-regular rings. As an application, we show that the torsion subgroup of the divisor class group of a local strongly F-regular ring is finite.
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| View details |
February 28 |
Gregory Taylor
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Strongly F-regular inversion of adjunction is the positive characteristic analog of the klt/plt inversion of adjunction in birational geometry. In
characteristic 0, the klt/plt inversion of adjunction statement can made quantitative with the normalized volume. In this talk, we discuss an analogous
quantitative refinement of strongly F-regular inversion of adjunction via the F-signature.
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| View details |
March 4 |
Florian Enescu
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TBA
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