DT Invariants and Holomorphic Curves in Complex Integrable Systems
Explore the correspondence between Donaldson-Thomas invariants and holomorphic curves, focusing on mirror symmetry and applications in enumerative geometry.
Holomorphic Floer Theory and Resurgence - Lecture 3
Explore holomorphic Floer theory and its connection to resurgence, examining the Riemann-Hilbert correspondence and its implications for perturbative expansions in mathematics and physics.
Towards a Mathematical Theory of 3D Mirror Symmetry
Explore the mathematical implications of 3D mirror symmetry, connecting quantum field theory dualities to algebraic geometry and symplectic topology. Uncover links to geometric Langlands and symplectic duality.
Formalization of Infinity Category Theory
Explore ∞-category theory's formalization, unifying mathematics, computer science, and physics. Learn synthetic reasoning and the Yoneda Lemma in this advanced mathematical seminar.
Knots, Operator Algebras, and Physics - Part 3
Explore connections between knots, operator algebras, and physics in this advanced mathematical lecture by Adam Sikora from SUNY Buffalo.
Knots, Operator Algebras, and Physics - Part II
Explore advanced mathematical concepts connecting knot theory, operator algebras, and physics, focusing on Kaufman brackets and entanglement schemes.
Non-Invertible Symmetries, Boundary Conditions, and Topological Field Theory
Explore non-invertible symmetries and boundary conditions in quantum field theories, focusing on 1+1d conformal field theories and their applications in various physics phenomena.
Categorification of Quantum Invariants: From Knots to 3-Manifolds - Part 1
Explore categorification of quantum invariants, focusing on knots and 3-manifolds. Delve into advanced mathematical concepts with expert Sergei Gukov from Caltech and Dublin IAS.
From the Kauffman and Dubrovnik Polynomials to Cubic Skein Modules and Beyond
Explore the rich world of skein theory, from linear and quadratic modules to the untapped potential of cubic skein modules and their connections to various mathematical disciplines.
Introduction to Quiver BPS Algebras - Part 2
Explore advanced concepts of quiver BPS algebras, building on foundational knowledge to deepen understanding of this complex mathematical topic.
Introduction to Quiver BPS Algebras - Part 1
Explore quiver BPS algebras with Wei Li, delving into fundamental concepts and theoretical foundations. Gain insights into this advanced mathematical topic.
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 2
Explore advanced concepts in knot theory, including quivers, Nahm sums, and hidden symmetries in knot homologies.
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 2
Explore advanced concepts in knot theory, including quivers, Nahm sums, and hidden symmetries in knot homologies.
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 1
Explore quivers, Nahm sums, and hidden symmetries in knot homologies with expert Dmitry Noshchenko in this advanced mathematics lecture.
Algebraic Presentations of 4- and 3-Manifolds in Low-Dimensional Topology
Explore algebraic presentations of 4- and 3-manifolds, focusing on categories of n-cobordisms and their relation to low-dimensional topology and combinatorial group theory.
Volume Conjecture for Surface Diffeomorphisms
Explore quantum invariants for surface diffeomorphisms and their connection to mapping torus volume. Examine representation theory, numerical evidence, and a proof for the figure-eight knot complement case.
4D/2D Duality and Representation Theory in Quantum Field Theory
Explore the 4D/2D duality in superconformal field theory, connecting 4D theories to vertex operator algebras and examining their representation theory and symplectic singularities.
Diagrammatics in Categories - Lecture 4
Explorez les catégories diagrammatiques en algèbre à travers des exemples concrets et leur formalisme spécifique. Développez votre compréhension des applications dans divers domaines.
Algebraization of Low-Dimensional Topology - Part II
Explore algebraic presentations of cobordism categories in 3 and 4 dimensions, focusing on torus-based structures and their implications for Topological Quantum Field Theories.
Diagrammatics in Categories - Lecture 5
Explorez les catégories diagrammatiques en algèbre à travers des exemples concrets et leur formalisme spécifique, en laissant place à la généralisation.
Affine W-algebras - Lecture 5
Explore affine W-algebras construction, theory, and applications in vertex algebra. Delve into quantum Hamiltonian reduction, Virasoro minimal models, and tensor categories of W-algebra representations.