Residues and Trace Maps in Grothendieck Duality - Lecture 3
Explores residues and trace maps in Grothendieck duality theory, advancing understanding of algebraic geometry and commutative algebra concepts for researchers and advanced students.
Equivariant Birational Geometry of Linear Actions
Explore equivariant birational geometry of linear actions, focusing on Burnside group formalism and its applications in 2D and 3D projective spaces and smooth quadrics.
Gorenstein Duality in Topology - Lecture 3
Explore Gorenstein duality in topology, examining its connections to algebraic geometry and representation theory. Gain insights into advanced mathematical concepts and their applications.
Stratification and Duality for Representations of Finite Groups - Lecture 2
Explore advanced concepts in finite group representation theory, focusing on stratification and duality principles. Gain insights into algebraic structures and their applications in mathematics.
Gorenstein Duality in Topology - Lecture 2
Explore Gorenstein duality in topology, connecting algebraic concepts to topological structures and generalizing Poincaré duality for manifolds in this advanced mathematical lecture.
Duality and Stratification in Commutative Algebra - Lecture 2
Explore duality and stratification in commutative algebra, focusing on derived categories, triangulated structures, and connections to algebraic topology and representation theory.
Stratification and Duality for Representations of Finite Groups - Lecture 3
Explore advanced concepts in finite group representation theory, focusing on stratification and duality principles. Gain insights into algebraic structures and their applications in mathematics.
On Compactly Supported P-Adic Proétale Cohomology of Analytic Varieties
Explore p-adic proétale cohomology with compact support for analytic varieties, including properties, comparison theorems, and connections to de Rham cohomologies.
Some Vanishing Results for Rational Completed Cohomology of Shimura Varieties
Explore p-adically completed cohomology in Shimura varieties, focusing on vanishing results for regular infinitesimal characters using Bhatt's Kodaira vanishing and translation functors.
Computational Aspects of Nonabelian Chabauty - Lecture 1
Explore computational techniques for Nonabelian Chabauty methods in arithmetic geometry, focusing on rational points on modular curves and advanced number theory concepts.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3
Exploring advanced techniques in arithmetic geometry for analyzing rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its practical applications.
Classical and Quadratic Chabauty - Lecture 3
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1
Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
Classical and Quadratic Chabauty - Lecture 3
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
Duality in P-adic Pro-etale Cohomology of Analytic Curves
Explore duality theorems in p-adic pro-etale cohomology of analytic curves, delving into advanced mathematical concepts and recent research findings in this specialized field.
The Finite Slope Part of Overconvergent Cohomology & Coherent Sheaves on Spaces of
Explores overconvergent cohomology, eigenvarieties, and coherent sheaves in p-adic automorphic forms. Discusses a conjecture on computing coherent sheaves using Galois representation stacks and its relation to p-adic Langlands program.
Tony Feng- A New Approach to Breuil-Mezard Cycles
Explore a novel local and group-theoretic approach to the Breuil-Mezard Conjecture, connecting it to quantum groups and homological mirror symmetry in algebraic number theory.
The Weight Part of Serre's Conjecture and the Emerton-Gee Stack
Explore the Breuil-Mezard conjecture's impact on local deformation rings and its connection to Serre's conjecture, focusing on recent advancements in moduli stack theory and p-adic Galois representations.
One-Dimensional Mod P Quaternionic Representations
Explore mod p cohomology of Lubin-Tate and Drinfeld spaces, and Hecke eigenspaces in quaternionic Shimura curves, using recent advancements in functor formalism and finiteness results.