Independence of ℓ for Frobenius Conjugacy Classes Attached to Abelian Varieties - Rong Zhou
Explore Frobenius conjugacy classes in abelian varieties, focusing on independence of ℓ, Mumford-Tate groups, and connections to Shimura varieties and CM liftings.
Hidden Symmetries of the Work of Jan Nekovář
Explorez les principes unificateurs de la recherche de Jan Nekovar, des systèmes d'Euler aux variétés de Shimura quaternioniques, en passant par les résultats de parité pour les fonctions L.
Fixed Points in Toroidal Compactifications and Essential Dimension of Covers
Explores essential dimension in algebraic objects, focusing on congruence covers of Shimura varieties. Presents new geometric approaches and fixed point theorems, extending incompressibility results to exceptional types.
Foliations on Shimura Varieties
Explore foliations on Shimura varieties, focusing on inseparable morphisms, characteristic P, and applications to surfaces and general cases in algebraic geometry.
The Cohomology of Shimura Varieties with Torsion Coefficients and Applications
Explore Shimura varieties' cohomology with torsion coefficients and its applications in advanced mathematics, presented by Ana Caraiani.
Points on Shimura Varieties Modulo Primes
Explore the intricacies of Shimura varieties modulo primes, delving into advanced mathematical concepts and their applications in number theory and algebraic geometry.
Geometric Eisenstein Series and Torsion Vanishing
Explores torsion vanishing in cohomology of Shimura varieties, combining geometric Eisenstein series, Fargues-Scholze local Langlands correspondence, and Hecke correspondences to extend previous results.
On Exotic Hecke Correspondences
Explores construction of exotic Hecke correspondences between mod p-fibers of different Shimura varieties, generalizing Xiao-Zhu's work and allowing non-isomorphic groups at p, leading to exotic Igusa variety isomorphisms.
An Introduction to Geometric Sen Theory
Explore geometric Sen theory, its applications to Shimura varieties, and connections with proétale cohomology. Learn about solid locally analytic representations and perfectoid Shimura varieties.
Integral Canonical Models of Exceptional Shimura Varieties
Explore advanced mathematical concepts in exceptional Shimura varieties and their integral canonical models, presented by Jacob Tsimerman from the University of Toronto.
Zeta Functions of Shimura Varieties: Past, Present, and the Near Future
Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.
Shimurian Analogs of Barsotti-Tate Groups
Explore Grothendieck's n-truncated Barsotti-Tate groups and their modulo p reductions. Discover conjectures on Shimura varieties and modern Dieudonné theory developments.
Period Relations for Arithmetic Automorphic Periods on Unitary Groups
Explore period relations for arithmetic automorphic periods on unitary groups, focusing on Petersson inner products and connections to L-function special values.
On the Cohomology of Shimura Varieties with Torsion Coefficients
Explore recent advances in Shimura varieties' cohomology with torsion coefficients, including Hodge-Tate period morphism geometry and local-global compatibility insights.
On Normalization in the Integral Models of Shimura Varieties of Hodge Type
Explore normalization in integral models of Shimura varieties of Hodge type, delving into advanced number theory concepts and their applications in algebraic geometry.