Isogeny-Based Cryptography After The Snap
Explore the latest developments in isogeny-based cryptography post-SIKE attack, examining its impact and future prospects in post-quantum cryptography.
Extensions of 1-Cocycles of the Mapping Class Group to the Ptolemy Groupoid
Explore extensions of 1-cocycles from mapping class groups to Ptolemy groupoids, delving into algebraic topology and Grothendieck-Teichmüller theory.
Mathematical Assumptions in Cryptography
Explore cutting-edge mathematical assumptions in cryptography at this Crypto 2024 session, chaired by Takahiro Matsuda, featuring latest research and advancements in the field.
Isogenies and Elliptic Curves in Cryptography
Explore advanced cryptographic concepts focusing on isogenies and elliptic curves in this comprehensive session from Crypto 2024, chaired by Francisco Rodríguez-Henríquez.
Moments of L-functions - Lecture 4
Delve into advanced mathematical concepts of L-functions and their moments, exploring circle method applications in analytic number theory and related theoretical frameworks.
Applications of Delta Method in Number Theory - Lecture 2
Delve into advanced number theory concepts through the Delta Method, exploring its applications in analytic theory and circle method techniques for solving complex mathematical problems.
Moments of L-functions - Lecture 3
Delve into advanced analytic number theory with a focus on L-function moments, circle method applications, and their connections to rational points and prime number theory.
Moduli Spaces of Local Systems in Algebraic Varieties
Delve into advanced mathematical concepts of local systems and Galois representations, exploring construction methods and parameter spaces in Betti, deRham, and l-adic settings.
Counting Points on Bun_G - Talk 35
Delve into advanced algebraic geometry as Matthew Emerton explores G-L trace formula for Bun_G, providing a detailed proof of Conjecture 8 from Lurie's earlier lectures.
Zeroes of Characters
Delve into advanced mathematical concepts exploring character theory and their zeroes, featuring insights from Serre's paper and Deligne's related mathematical discoveries.
L-functions of Elliptic Curves Over Real Quadratic Fields as Special Values of Automorphic Green's Functions
Delve into advanced number theory concepts exploring L-functions of elliptic curves over real quadratic fields and their relationship to automorphic Green's functions through expert mathematical analysis.
Fractal Geometry of the Markov and Lagrange Spectra and Their Set Difference
Delve into the fractal geometry of Markov and Lagrange spectra, exploring their set differences and mathematical properties through advanced number theory and geometric analysis.
Applied l-adic Cohomology I - Lecture 3
Delve into advanced number theory concepts, exploring l-adic cohomology and trace functions through examples from modern analytic theory, with insights from Gauss, Weil, and Grothendieck's foundational work.
Bass Note Spectra of Binary Forms
Delve into advanced number theory concepts exploring bass note spectra of binary forms, their relationship to Markoff spectrum, and the resolution of Mordell's conjecture for binary cubic forms.
Counting Representations of Fuchsian Groups Over Finite Fields
Delve into advanced mathematical concepts exploring representation theory of Fuchsian groups, character bounds, and their applications in high-dimensional classical groups and Zariski-dense subgroups.
Proof of the Geometric Langlands Conjecture
Delve into advanced mathematical concepts exploring the Geometric Langlands Conjecture, including de Rham, Betti, and l-adic contexts, presented by Dennis Gaitsgory with collaborative insights.
Applied l-adic Cohomology - Lecture 1
Delve into advanced number theory concepts, exploring l-adic cohomology and trace functions through Gauss's congruence theory and its modern applications in analytic number theory.
Applied l-adic Cohomology - Lecture 2
Delve into advanced number theory concepts, exploring trace functions, l-adic cohomology, and their applications in modern analytic theory through examples from Weil, Grothendieck, and Deligne's work.
New Effective Results Regarding the Oppenheim Conjecture and Polynomial Effective Equidistribution
Delve into advanced mathematical concepts surrounding the Oppenheim Conjecture, exploring quantitative results, unipotent flows, and their applications in number theory.
Introduction to the Tamagawa Number Theorem for Function Fields
Delve into advanced number theory concepts through an exploration of Tamagawa numbers, their role in lattice enumeration, L-functions, and geometric interpretations in function fields.
On the Prismatization of the Field with One Element
Delve into advanced mathematical concepts of prismatic cohomology and its relationship to the theoretical field with one element, exploring geometric and arithmetic implications.