Cluster Algebras for General Braid Varieties
Explore cluster algebras on braid varieties using weaves, Lusztig cycles, and symplectic topology. Gain insights into localization processes and A=U proof through Lie-theoretic and combinatorial perspectives.
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.
Cluster Algebras and Representation Theory - Rothschild Lecture
Explore cluster algebras' definition, impact on representation theory, and ongoing research. Gain insights into this influential mathematical concept and its wide-ranging applications.
Parabolic Multiplicative Affine Springer Fibers
Explore parabolic multiplicative affine Springer fibers in algebraic geometry, examining their properties and applications in advanced mathematical research.
Riemannian Geometry of Gibbs Cones Associated to Nilpotent Orbits of Simple Lie Groups
Explore Riemannian geometry of Gibbs cones linked to nilpotent orbits in simple Lie groups, delving into advanced mathematical concepts and their applications.
Graded Lie Algebras and Families of Algebraic Curves
Explore graded Lie algebras and their connection to algebraic curve families. Gain insights into natural questions, philosophy, and Thorne's construction in this mathematical symposium talk.
Various Incarnations of the Affine Hecke Category
Explorez les différentes incarnations de la catégorie de Hecke affine dans le cadre de la théorie des représentations quantiques.
Global Lie Theory: Wild Riemann Surfaces and Their Character Varieties
Explore the evolution of topological symplectic structures, wild Riemann surfaces, and character varieties in global Lie theory. Discover connections to quantum groups, hyperkähler geometry, and integrable systems.
Graph Complex Action on Poisson Structures: From Theory to Computation
Explore graph complex action on Poisson structures, from theoretical foundations to computational applications using SageMath's gcaops package for advanced mathematical research.
Peng Shan- On Geometrical Realization of Centers
Explore connections between algebra centers and geometric cohomology, focusing on quantum groups and affine Springer fibers in Lie theory.
Manin Pairs and Moment Maps Revisited
Explore advanced concepts in Hamiltonian geometry, focusing on Manin pairs and moment maps, with insights from University of Toronto's Eckhard Meinrenken.
The Center of the Small Quantum Group and Affine Springer Fibers
Explore representation theory through quantum groups and affine Springer fibers, focusing on the center of small quantum groups.
Flows on Graded Manifolds - Part II
Explore advanced concepts of flows on graded manifolds, delving into complex mathematical physics topics with expert Jan Vysoký.
Flows on Graded Manifolds - Part I
Explore graded manifolds and their flows, delving into advanced mathematical concepts with expert guidance from Jan Vysoký.
Introduction to Vertex Algebras - From Heisenberg to Virasoro Algebras
Delve into vertex algebras, exploring Heisenberg, Kac-Moody, and Virasoro structures while understanding their connections to affine W-algebras and Zhu algebra fundamentals.
In Search of Invariance in Brains and Machines
Explore mathematical frameworks for robust AI perception, focusing on Lie theory to model hierarchical structures and transformations in real-world object recognition.