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Explore Banach-Colmez tangent spaces for diamonds in smooth rigid analytic varieties with the Hausdorff Center for Mathematics. Ideal for experts in geometric Sen theory.
Explore the analog of Hodge decomposition in positive characteristic with the Hausdorff Center for Mathematics. Understand the natural isomorphism between de Rham and Hodge cohomology.
Explore the geometric Langlands conjecture with Dennis Gaitsgory in this 1-2 hour material from Hausdorff Center for Mathematics.
Explore p-adic Eichler-Shimura theory and its arithmetic application in this 1-2 hour study from Hausdorff Center for Mathematics. Joint work with G. Boxer, F. Calegari, and T. Gee.
Explore the Brumer-Stark Conjecture and its refinements in this brief talk by Samit Dasgupta, offered by the Hausdorff Center for Mathematics.
Explore p-adically completed cohomology and Shimura varieties in this 1-2 hour material from Hausdorff Center for Mathematics, featuring Bhatt's recent findings and translation functors.
Explore symmetric power functoriality for Hilbert modular forms with James Newton in this 1-2 hour material from Hausdorff Center for Mathematics.
Explore the generalization of torsion vanishing results and cohomology of Shimura varieties in this 1-2 hour material from Hausdorff Center for Mathematics.
Explore exotic Hecke correspondences between Shimura varieties of Hodge type in this 1-2 hour material from Hausdorff Center for Mathematics.
Dive into recent developments on local shtukas in characteristic p with the Hausdorff Center for Mathematics. Explore joint works and global shtukas compatibilities.
Explore the numerical criteria for isomorphisms of complete intersections and module freedom in this less than 1-hour material from Hausdorff Center for Mathematics.
Explore geometric Sen operator construction on rigid spaces with applications to Shimura varieties in this 1-2 hour material from Hausdorff Center for Mathematics.
Explore anticyclotomic p-adic L-functions for Rankin-Selberg motives with Yifeng Liu at the Hausdorff Center for Mathematics. Dive into conjectures and progress in this 1-2 hour study.
Dive into the cohomology sheaves of stacks of shtukas with the Hausdorff Center for Mathematics. Explore smoothness outside the level in 1-2 hours.
Explore symplectic transformations of OG10-type hyperkähler manifolds via cubic fourfolds in this under 1-hour material from Hausdorff Center for Mathematics.
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