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.
Beyond the Fontaine-Wintenberger Theorem
Explore advanced mathematical concepts beyond the Fontaine-Wintenberger theorem in this in-depth conference talk by Konstantinos Kartas.
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.
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.
Prime, Knots and the Adele Class Space
Explore geometric connections between primes and knots through scaling site theory, adele class space, and finite abelian extensions of Q, revealing insights into number theory and topology.
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.
Mathematical Grand Unification
Explore the concept of mathematical grand unification through a thought-provoking lecture by Bartosz Naskręcki, delving into conjectures and potential connections across mathematical fields.
Frobenius写像の周辺 - 第2回
Delve into advanced mathematical concepts of Frobenius mappings, finite fields, and Witt vectors through an accessible exploration of number theory fundamentals and polynomial rings.
תורת גלואה - עבר ועתיד
חקור את תורת גלואה, התפתחותה ההיסטורית והשלכותיה העתידיות בתחום המתמטיקה המתקדמת.
Braided Fusion Categories - Lecture 5: Witt Equivalence and Categorical Witt Group
Explore advanced concepts in braided fusion categories, including gauging, Picard groups, Witt equivalence, and categorical Witt groups. Suitable for graduate-level mathematics students.
Braided Fusion Categories - Lecture 4
Explore algebraic theory of semisimple braided tensor categories, covering properties, examples, centralizers, equivariantizations, gauging, and Witt equivalence. Suitable for graduate students.
Braided Fusion Categories - Lecture 2
Explore algebraic theory of semisimple braided tensor categories, covering structure, classification, and applications in quantum symmetries and topological quantum field theories.
Braided Fusion Categories - Lecture 1
Explore semisimple braided tensor categories, their structure, and classification. Learn about centralizers, non-degeneracy, equivariantizations, gauging, and Witt equivalence in fusion categories.
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.
Uniqueness of Splitting Fields
Explore the concept of uniqueness in splitting fields, examining their properties and significance in abstract algebra.
Separable Extensions: Multiple Roots, Derivatives, and Inseparable Polynomials - Part 1
Explore separable extensions, multiple roots, derivatives, and inseparable polynomials in field theory, enhancing understanding of algebraic structures.
First Order Differential Equations in Characteristic Zero and Characteristic p
Explore advanced mathematical concepts of first-order differential equations across characteristic zero and characteristic p, with insights from leading mathematician Marius van der Put.