Lattices and Codes in Cryptography - TCC 2023 Session
Explore cutting-edge research on lattices and codes in cryptography, featuring presentations from leading experts at the Theory of Cryptography Conference 2023.
Dual of Evaluation Codes in Error-Correcting Theory
Explore the mathematical concept of dual codes in error correction, focusing on evaluation codes and their properties in coding theory.
Isogenies and Applications in Public-Key Cryptography
Explore cutting-edge research on isogenies and their applications in cryptography at this PKC 2024 session, featuring expert presentations and discussions.
Lipschitz Geometry and Combinatorics of Abnormal Surface Germs
Explore Lipschitz geometry and combinatorics of abnormal surface germs in this advanced mathematics talk by Andrei Gabrielov from Purdue University.
Isogenies in Cryptography - Eurocrypt 2024 Session
Explore cutting-edge cryptographic research on isogenies, presented at Eurocrypt 2024. Gain insights into advanced mathematical concepts and their applications in modern cryptography.
Higher Order MDS Codes - Advances in Error-Correcting Code Theory
Explore advanced concepts in error-correcting codes, focusing on Higher Order MDS Codes and their applications in data integrity and communication systems.
Non-interpenetration in Thin-film Models of Elastic Solids
Explore non-interpenetration in thin-film models for elastic solids, focusing on dimension reduction, membrane regimes, and suitable conditions for preventing material penetration.
Shtukas and Excursions in Categorical Spectral Theory - Talk 42
Delve into advanced mathematical concepts exploring the relationship between excursion operators, shtuka cohomologies, and categorical spectral action through categorical traces.
Singular Support for Constructible Sheaves in Étale Topology
Delve into advanced mathematical concepts of singular support in constructible sheaves, exploring wave front distributions and étale versions for geometric Langlands theory.
Hecke Eigensheaves via Chiral Homology - Talk 26
Delve into advanced mathematical concepts exploring Hecke eigensheaves through chiral homology, examining the quantized global Hitchin fibration and Kac-Moody localization applications.
Truncated Barsotti-Tate Groups and Truncated Displays
Delve into advanced algebraic geometry through an exploration of truncated Barsotti-Tate groups, their relationship with displays, and crystalline Dieudonné theory in geometric stacks.
Shtukas and Global Langlands for Function Fields - Talk 37
Delve into V. Lafforgue's groundbreaking proof of global Langlands correspondence, exploring shtukas, geometric Satake, and excursion operators in function fields through expert analysis.
Overview of Restricted Geometric Langlands Theory
Delve into categorical formulations of geometric Langlands theory, exploring restricted local systems, their applications in arithmetic, and connections to automorphic forms through Frobenius traces.
Moduli Spaces in p-adic Non-abelian Hodge Theory
Delve into p-adic non-abelian Hodge theory through geometric moduli spaces, exploring Higgs bundles, pro-étale vector bundles, and their relationships to Simpson correspondence.
Basics of Derived Algebraic Geometry - Talk 38
Dive into fundamental concepts of derived algebraic geometry, exploring prestacks, tangent complexes, quasi-smooth derived schemes, and ind-coherent sheaf singular support analysis.
Feigin-Frenkel Isomorphism and Vacuum Module Endomorphisms - Talk 23
Delve into the geometric interpretation of the Feigin-Frenkel isomorphism, exploring coordinate-free formulations and the relationship between vacuum module endomorphisms and opers.
Dieudonne Theory - Classical Approach to Finite Group Schemes - Part 1
Dive into classical Dieudonne theory, exploring finite group flat schemes, p-divisible groups, and crystalline theory through detailed mathematical analysis and examples.
The Stacks of n-Truncated Barsotti-Tate Groups - Part 4
Delve into advanced mathematical concepts of p-divisible groups and formal completions, exploring Eike Lau's research on truncated Barsotti-Tate groups.
The Stacks of n-Truncated Barsotti-Tate Groups - Part 3
Delve into advanced algebraic geometry concepts focusing on n-smooth group schemes over F_p-schemes and their relationship with BT_n groups, exploring commutative structures and theoretical foundations.
The Moduli Stack of Displays - Introduction to Zink's Display Theory
Delve into advanced algebraic geometry concepts through Zink's display theory, exploring Dieudonne theory extensions and connections to Barsotti-Tate groups in characteristic p settings.
Prismatic Dieudonné Theory and Classifying Stacks - Part 2
Delve into prismatic Dieudonné theory and explore p-divisible group classification through prismatic crystals, with applications to cohomology of classifying stacks.