Local Systems and Higgs Bundles in p-adic Geometry
Explore the algebraic nature of local systems and Higgs bundles in p-adic geometry, drawing parallels to complex varieties and characteristic p counterparts.
Analytic Prismatization - Extending Prismatic Cohomology to Rigid-Analytic Spaces
Explore prismatic cohomology's extension to rigid-analytic spaces, including degeneration from analytic Hodge-Tate stack to Ogus-Vologodsky correspondence in characteristic p.
Characteristic Classes of Étale Local Systems
Explore characteristic classes of étale Z_p-local systems on algebraic varieties, their relation to Chern-Simons classes, and connections to Hodge filtration in p-adic settings.
Motives and Super-Representation Theory: Principles and Case Studies
Découvrez les principes et études de cas des motifs et de la (super-)théorie des représentations, explorant la théorie de Galois motivique abstraite.
The Non-Abelian p-Curvature Conjecture
Explore a generalized p-curvature conjecture for non-linear ODEs, its implications for algebraic geometry, and proof techniques inspired by Katz and Esnault-Groechenig's work.
Characteristic Cycle and Pushforward for L-adic Sheaves
Explore characteristic cycles for l-adic sheaves, their role in measuring ramification, and the compatibility of pushforward along proper morphism in this advanced mathematical lecture.
Vanishing Theorems for the Irregular Hodge Filtration
Explore recent advances in irregular Hodge filtration, focusing on Kodaira vanishing theorems similar to Saito's for mixed Hodge modules.
Finite Type Properties of Tame Fundamental Groups
Explore finite generation and presentation of fundamental groups in topology, including étale and tame cases, for various algebraic and analytic spaces.
A Stable Version of Gromov's Angle-Shrinking Problem and Its Index Theoretic Applications - Lecture 2
Explore a stable algebraic version of Gromov's angle shrinking problem and its application to dihedral rigidity conjecture, focusing on Fredholm index computation.
Analytic Stacks: New Foundations for Analytic Geometry - Lecture 24
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with Peter Scholze.
Analytic Stacks: New Foundations for Analytic Geometry
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
Modularity of Abelian Surfaces
Explorez la preuve de la modularité d'une proportion positive de surfaces abéliennes sur les rationnels dans cette conférence mathématique avancée.
Motives and Ring Stacks
Explore advanced cohomology theories through ring stacks, examining their connection to 6-functor formalism and motivic theory. Gain insights into Tannaka duality and analytic geometry applications.
Analytic Stacks: New Foundations for Analytic Geometry - Lecture 22/24
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
Analytic Stacks - Lecture 21
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with Peter Scholze.
Analytic Stacks: New Foundations for Analytic Geometry
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
Analytic Stacks - Lecture 19
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with Peter Scholze.
Analytic Stacks: New Foundations for Analytic Geometry - Lecture 18
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
Analytic Stacks: New Foundations for Analytic Geometry - Lecture 17
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
Analytic Stacks - Lecture 16
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with Peter Scholze.
Analytic Stacks: New Foundations for Analytic Geometry - Lecture 15
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.