An Overview of Algebraic Geometry Codes from Surfaces
Explore algebraic geometry codes from surfaces, covering effective divisors, evaluation maps, minimum distance, and toric varieties. Gain insights into parameters, restrictions, and decoding techniques.
Algebraic Curves with Many Rational Points over Finite Fields
Explore algebraic curves with many rational points over finite fields, focusing on maximum curves, automorphisms, and their applications in coding theory.
Finite Flat Group Schemes over Z
Explore finite flat group schemes over Z with René Schoof in this advanced arithmetic geometry lecture from the CIRM Symposium.
Counting S4 and S5 Extensions Satisfying the Hasse Norm Principle
Explore counting techniques for S4 and S5 extensions satisfying the Hasse norm principle in this advanced mathematical lecture by Rachel Newton.
Lang-Weil Type Bounds in Finite Difference Fields
Explore Lang-Weil type bounds in finite difference fields with Martin Hils, delving into advanced mathematical concepts and their applications.
Beyond the Fontaine-Wintenberger Theorem
Explore advanced mathematical concepts beyond the Fontaine-Wintenberger theorem in this in-depth conference talk by Konstantinos Kartas.
Around NIP Noetherian Domains
Explore NIP Noetherian domains in this advanced mathematical lecture, delving into complex algebraic concepts and their implications.
Polynomials that Vanish on Many Sets of Codimension 2
Explore polynomials vanishing on codimension 2 sets in this advanced mathematical lecture, delving into complex algebraic geometry and model theory concepts.
Arithmetic Statistics: Concepts and Applications
Explore arithmetic statistics through an in-depth lecture, covering key concepts and recent developments in this mathematical field.
Class Field Theory - Lecture 1
Explore fundamental concepts of class field theory in this advanced mathematics lecture, delving into algebraic number theory and Galois theory.
Frobenius Distributions - Lecture 1
Explore Frobenius distributions in arithmetic statistics through an advanced mathematical lecture by Kiran Kedlaya at CIRM's Spring School.
Factoring Gleason Polynomials Modulo 2 - Pre-Talk
Explore factoring Gleason polynomials modulo 2 with postdoc Malavika Mukundan, delving into advanced mathematical concepts in dynamics.
Determinants of Cohomology for Number Fields
Explore determinants of cohomology in number fields, delving into advanced mathematical concepts and their applications in algebraic number theory.
Number Theory over Function Fields - Lecture 6
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 5
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 4
Explore recent progress in number theory using polynomial analogues over finite fields, connecting geometric perspectives to topology, probability, and automorphic forms.
Number Theory over Function Fields - Lecture 3
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 2
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 1
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
A Homotopical Approach to Crystalline Cohomology
Explore a homotopical approach to crystalline cohomology, focusing on higher homotopies for canonical lifts and easier global definition through gluing.
Local-Global Principles for Homogeneous Spaces Over Arithmetic Function Fields
Explore local-global principles for homogeneous spaces over arithmetic function fields, focusing on function fields of curves over complete discretely valued fields and related patching methods.