Department of Mathematics,
University of California San Diego
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PhD Defense
Bharatha Rankothge
On Localizing Subcategories of the Derived Category of Smooth Mod-$p$ Representations of a $p$-Adic Lie Group
Abstract:
Understanding the category ${Mod}_k(G)$ of the representations of a $p$-adic Lie group $G$ over a field $k$ of characteristic $p$ is integral in developing the $p$-adic and mod-$p$ Langlands programs. However, the work of Peter Schneider, Matthew Emerton, and others have suggested that we might need to shift our focus to the derived category $D(G)$ of ${Mod}_k(G)$ to make further progress. Noting that $D(G)$ is a tensor triangulated category, we follow a common practice in studying tensor triangulated categories by attempting to classify the localizing subcategories of $D(G)$. In this talk, we present such a classification for when $G$ is an abelian $p$-adic Lie group with a Noetherian augmented Iwasawa algebra.
December 8, 2025
8:00 AM
Zoom (Meeting ID: 933 2879 6478)
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