Home /  NAG Colloquium: "Local duality, regularity and completions for stable categories of modular representations"

Seminar

NAG Colloquium: "Local duality, regularity and completions for stable categories of modular representations" May 06, 2024 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Julia Pevtsova (University of Washington)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Local duality, regularity and completions for stable categories of modular representations

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For a tensor triangulated $R$-linear category $T$, we study its fibers $\Gamma_{\mathfrak p}T$  at a prime ideal $\mathfrak p \in R$. We ask questions like “What does it mean for $T$ to be locally regular?” or “Gorenstein?” – as detected on these fiber categories $\Gamma_{\mahtfrak p} T$.

Inspiration and motivation often comes from commutative algebra and stable homotopy theory but the results will be for modular representations of a finite group.  This is joint work with D. Benson, S. Iyengar, and H. Krause.

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Local duality, regularity and completions for stable categories of modular representations