Best Lipschitz Maps and Transverse Measures - Part 2
Explores best Lipschitz maps between hyperbolic surfaces, focusing on approximation methods, transverse measures, and their connection to infinitesimal earthquakes in Teichmüller theory.
The Lie Algebra Associated with the Lower Central Series of a Right-Angled Coxeter Group
Explore the Lie algebra's connection to lower central series in right-angled Coxeter groups, delving into advanced mathematical concepts and their implications.
Quivers and Cohomological Hall Algebras - Lecture 3
Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into complex mathematical structures and their applications in algebraic geometry.
Mysterious Triality
Explore the enigmatic concept of triality in mathematics and physics, unraveling its connections to symmetry, algebra, and quantum mechanics.
Maulik-Okounkov Lie Algebras and BPS Lie Algebras
Explore the connection between Maulik-Okounkov and BPS Lie algebras, examining their roles in quiver varieties and cohomological DT theory. Gain insights into non-abelian stable envelopes and Okounkov's conjecture.
P=W via H2 - Moduli Space of Stable Twisted Higgs Bundles
Explore the cohomology of stable twisted Higgs bundles moduli space through $H_2$ Lie algebra action, unifying weight and perverse filtrations via tautological classes and Hecke operators.
Higher Lie Theory in Positive Characteristic
Explore advanced concepts in Higher Lie theory for positive characteristic fields, delving into algebraic and geometric perspectives of this mathematical domain.
The Stabilizer Lie Algebra of the Harmonic Coproduct
Explore the stabilizer Lie algebra of the harmonic coproduct, delving into algebraic and topological concepts related to the Grothendieck-Teichmüller group.
Swallowed Kashiwara Crystals by Accident
Explore Kashiwara crystals and their accidental ingestion in this intriguing mathematical talk by Xiao Wang from the Institute for Advanced Study.
TRANSVERSE POISSON STRUCTURES TO ADJOINT ORBITS IN A COMPLEX SEMI-SIMPLE LIE ALGEBRA
Explore transverse Poisson structures in complex semi-simple Lie algebras, focusing on adjoint orbits and their nilpotent cases. Discover determinantal formulas and quasihomogeneous polynomials in this advanced mathematical topic.
Aha and Eha in Quantum Topology Representation Theory
Explore representation theory in quantum topology with A. Negut from MIT, delving into Aha and Eha concepts during this insightful lecture.
Kontsevich's Star-Product up to Order Seven for Affine Poisson Brackets
Explore Kontsevich's star-product formula for affine Poisson brackets, examining its expansion up to seventh order and investigating the mechanism of associativity in higher orders.
On Resurgent Poisson Structures and Deformations
Explore Z-resurgent series algebra, alien derivations, and their applications in constructing Poisson structures and non-commutative deformations of algebraic products.
Inequalities Defining Polyhedral Realizations of Affine Types and Extended Young Diagrams
Explore crystal bases in Lie algebra representation theory, focusing on polyhedral realizations and explicit inequalities for classical affine types using extended Young diagrams.
Weyl's Character Formula
Explore Weyl's Character Formula in mathematics, delving into its applications and significance in representation theory. Gain insights from expert Nigel Higson of Penn State University.
Extensions of Affine Algebra Vertex Operator Algebras
Explore extensions of affine algebra VOAs, focusing on V(g,k) for simple Lie algebras. Learn about finite-index extensions, simple currents, and quantum subgroups in module category classification.
Affine W-algebras - Lecture 3
Explore affine W-algebras construction via quantum Hamiltonian reduction. Delve into vertex algebra theory, Virasoro minimal models, and tensor categories of W-algebra representations.
Towards the Quantum Exceptional Series
Explore continuous families of planar algebras interpolating exceptional Lie algebras and their quantum counterparts. Discover a potential new exceptional knot polynomial through skein theoretic analysis.
Affine W-algebras - Lecture 2
Explore affine W-algebras through quantum Hamiltonian reduction. Delve into vertex algebra theory, Virasoro minimal models, and tensor categories of W-algebra representations.
Why p-adic Numbers Are Better Than Real for Representation Theory
Explore p-adic numbers and their application in representation theory, focusing on SL(2) group and nilpotent orbits in Lie algebra.
Langlands Duality for the Affine Hecke Category
Explore Langlands duality for affine Hecke category, its applications in representation theory, and potential generalizations to symplectic singularities. Gain insights into geometric local Langlands duality.