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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Thesis Defense
Jack J Garzella
UC San Diego
P-adic geometry of finite and infinite type
Abstract:
We present four results: in the first, we give a fast algorithms for calculating
the quasi-F-split height of Calabi-Yau hypersurfaces in characteristic p. In the second, we give a fast algorithm for calculating the zeta functions of projective hypersurfaces in characteristic p. In the third, we show that Berkovich’s affinoid algebras and dagger algebras are F-instersection flat (and thus contain big test elements). In the fourth, we consider the problem of the nullstellensatz of perfectoid Tate algebras.
Advisor: Kiran S. Kedlaya
July 14, 2026
1:00 PM
APM 7321 & Zoom (https://ucsd.zoom.us/j/93066984087)
Research Areas
Algebra Algebraic Geometry Number Theory****************************
