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Lucas Mann: A p-adic six functor formalism in rigid analytic geometry, I
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https://m.youtube.com/watch?v=3hbuNJRxNwI Abstract: Using Clausen--Scholze's condensed mathematics, we introduce a full 6-functor formalism for the p-adic cohomology on rigid-analytic varieties over p-adic fields, and more generally on Scholze's diamonds and v-stacks. The idea is to embed étale F_p-sheaves on a v-stack X into a certain category of "solid quasicoherent almost O_X^+/p-modules" and construct the six functors for the latter category. As an application we prove Poincaré duality for p-adic cohomology on rigid varieties and in joint work with Hansen obtain new results on the p-adic Jacquet-Langlands functor. Moreover, in ongoing joint work with Anschütz and Le Bras we construct a similar 6-functor formalism for pro-étale Q_p-cohomology with the aim of reproving and extending previous duality results of Colmez-Gilles-Niziol
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Lucas Mann: A p-adic six functor formalism in rigid analytic geometry, II
Pro-etale Cohomology of Rigid-Analytic Spaces - Johannes Anschütz
Lucas Mann: A p-adic six functor formalism in rigid analytic geometry, III
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Mod-p Poincare Duality in p-adic Analytic Geometry - Bogdan Zavyalov
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Peter Scholze, Refined TC^− over perfectoid rings
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Motivic Cohomology of Singular Schemes: a dégustation - Elden Elmanto
Algebraic K-Theory and P-Adic Arithmetic Geometry - Matthew Morrow
Ben Heuer: Moduli spaces in p-adic non-abelian Hodge theory.
Exotic Spheres from p-adic Cohomology Theories - Jeremy Hahn
Moduli Stacks of p-adic Galois Representations - Kalyani Kansal(IAS)
Prismatic F-gauges and Fontaine-Laffaille Modules - Vadim Vologodsky
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Comparison Theorems in p-adic Geometry - Emanuel Reinecke(IAS)
Brian Williams | Algebraic quantum field theory
p-adic Hodge Theory for Analytic Varieties - Sally Gilles(IAS)
Juan Esteban Rodriguez Camargo: Geometric Sen Theory
Sabrina Pauli: Counting curves over an arbitrary field using tropical geometry
Geometric Langlands Seminar: Vladimir Drinfeld. The Stacks of BT_n Group IV
Stacks and Log Prismatic Cohomology - Martin Olsson
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Some Failures of Vanishing Theorems - Burt Totaro
Essential Dimension via Prismatic Cohomology - Mark Kisin
Geometric Langlands Seminar: Vladimir Drinfeld: The stacks of n-truncated BT II
Geometric Langlands Seminar:Dieudonne theory II: stacky approach.
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Jacob Lurie: Rationalized Syntomic Cohomology
David Loeffler - Iwasawa theory for Asai representations and the adjoint of a mo
Stacks in p-adic Hodge Theory of Rigid Spaces - Arthur-Cesar Le Bras
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Moritz Kerz - Pure Local Systems Over Local Fields
Motivic Cohomology of Mixed Characteristic Schemes - Tess Bouis