Abstract Algebra - A PID That Is Not a Euclidean Domain
Explore a principal ideal domain that's not Euclidean, using Dedekind-Hasse Norm and universal side divisor concepts to demonstrate this intriguing algebraic property.
Vertex Algebras - The Non-Negative Products
Explore the structure of non-negative products in vertex algebras, delving into advanced mathematical concepts and their applications in algebraic theory.
Sums in Progressions to Squarefree Moduli Among Polynomials Over a Finite Field
Explore polynomial sums in progressions to squarefree moduli over finite fields, covering Fourier analysis, polynomial anatomy, and arithmetic functions.
Stuart White- Classification of Simple Amenable C-Algebras
Explore the classification of simple amenable C*-algebras with Stuart White, covering operator algebras, group actions, inductive limits, and the Elliott programme in this mathematical lecture.
Hodge Theory, Between Algebraicity and Transcendence
Explore recent advances in Hodge theory, comparing algebraic structures and bounding transcendence using o-minimal geometry. Gain insights into complex algebraic varieties and their applications.
Character Estimates for Finite Simple Groups and Applications
Explore character estimates for finite simple groups and their applications in various mathematical problems, including mixing times, Waring's Problem, and conjectures by Ore and Thompson.
Cyclotomic KLR Algebras - Part 1 of 4
Exploring cyclotomic KLR algebras, their connection to quantum groups, and their role in categorifying highest weight representations, with a focus on type A and the Ariki–Brundan–Kleshchev theorem.
Singular Chains on Lie Groups and the Cartan Relations
Explore the connection between Lie group representations and infinitesimal descriptions using Cartan relations, with applications to Chern-Weil theory and higher local systems on classifying spaces.
Skein Categories
Explore skein categories, their relation to factorisation homology, and connections to stated skein algebras and Alekseev's moduli algebras in this advanced mathematical talk.
Iva Halacheva - The Cactus Group, Crystals, and Perverse Equivalences
Exploring connections between cactus groups, crystals, and perverse equivalences in categorical actions of semisimple Lie algebras, focusing on Rickard complexes and their implications for derived categories.
On Conjugacy of Cartan Subalgebras in Extended Affine Lie Algebras and Classification of Torsors
Explore advanced concepts in extended affine Lie algebras and torsors over Laurent polynomial rings in this mathematical lecture by Vladimir Chernousov at the Fields Institute.
Classifying Small Fusion Categories
Explore the classification of small fusion categories, including recent results on odd-dimensional modular and fusion categories. Learn about different interpretations of "small" in this context.
Braids and Line Arrangements - Old and New
Explore the interplay between braid groups, configuration spaces, and hyperplane arrangements, focusing on recent advances in understanding fundamental groups of complex line arrangement complements.
Polynomials for Quivers and Topological Recursion
Explore A-polynomials for quivers and their connection to topological recursion in this advanced mathematics lecture by Piotr Sułkowski from the University of Warsaw.
Algebraic Definition of Braids and the Braid Group
Explore the algebraic foundations of braids and the braid group, delving into their mathematical properties and applications in topology and geometry.
Chiral Algebras from Three Dimensions
Explore the fascinating connection between chiral algebras and three-dimensional physics in this advanced mathematical lecture by renowned physicist Sergei Gukov.
A Geometric R-Matrix for the Hilbert Scheme of Points on a General Surface
Explore geometric R-matrices for Hilbert schemes of points on general surfaces, delving into advanced mathematical concepts and their applications.
Singularities via BCM Algebras
Explore singularities through BCM algebras, delving into advanced mathematical concepts with expert insights from K. Tucker of the University of Illinois at Chicago.
Arithmetic Occult Periods
Explore surprising uniformizations of complex configuration spaces as arithmetic ball quotients, examining period maps and their algebraic structures in Shimura varieties.
Euler Classes, Pairings, and Duality
Explore Euler classes in modules, their connection to Hochschild homology pairings, and implications for various forms of duality in homotopy theory and arithmetic geometry.
Generalized Kac-Moody Superalgebras and Root Groupoid
Explore advanced algebraic structures with Vera Serganova as she delves into Generalized Kac-Moody Superalgebras and Root Groupoid, offering insights for mathematicians and theoretical physicists.