Vertex Algebras and Associated Varieties - Lecture 2
Explore vertex algebras and associated varieties in this advanced lecture, delving into modern representation theory and its connections to mathematics and physics.
Holomorphic Discs of Negative Maslov Index and Extended Deformations in Mirror Symmetry
Explore holomorphic discs of negative Maslov index and their impact on mirror symmetry, focusing on extended deformations of Landau-Ginzburg models and family Floer theory in complex geometry.
Fourier Analysis of Equivariant Quantum Cohomology II - 1-27-2024
Explore advanced concepts in Fourier analysis and equivariant quantum cohomology, building on previous research in homological mirror symmetry and mathematical physics.
From Rings of Operators to Noncommutative Geometry - Lecture 1
Explore the evolution from rings of operators to noncommutative geometry with renowned mathematician Alain Connes in this insightful Fields Institute lecture.
From Rings of Operators to Noncommutative Geometry - Lecture 2
Explore the evolution from operator rings to noncommutative geometry with renowned mathematician Alain Connes, delving into advanced concepts in operator algebras and their applications.
From Rings of Operators to Noncommutative Geometry - Lecture 3
Explore the evolution from operator rings to noncommutative geometry with renowned mathematician Alain Connes, delving into advanced concepts in operator algebras and their applications.
Topology of Moduli Spaces of Topological Theories and Applications to Codes
Explore moduli spaces of topological theories, their homotopy types, and applications to Hastings-Haah floquet codes in quantum error correction and quantum gravity.
Prequantization of a Non-Exact Courant Algebroid
Explore advanced mathematical concepts in geometric structures, focusing on prequantization techniques for non-exact Courant algebroids in this in-depth lecture by Gavin Hurd.
Fourier Analysis of Equivariant Quantum Cohomology - Lecture 3
Explore Fourier analysis of equivariant quantum cohomology, focusing on D-module versions, Teleman's conjecture, and applications to projective bundles and blowups.
A Braided Monoidal 2-Category via Soergel Bimodules
Explore braided monoidal 2-categories through Soergel bimodules, examining quantum group representations and categorification in relation to Hecke algebras and quantum link invariants.
The Nil-Brauer Category - Categorification and Applications
Exploration of the nil-Brauer category, its relation to quantum groups, and applications in categorification and Soergel bimodules, presented by Jonathan Brundan at IPAM's workshop.
Calabi-Yau Theory in Generalized Kahler Geometry
Explore Calabi-Yau theory's extension to generalized Kahler geometry, examining connections to supergravity and geometric flow approaches for constructing solutions.
Wave Localization and the Landscape Law
Explore wave localization in complex media, introducing the landscape concept for predicting eigenfunctions, decay patterns, and eigenvalues. Discover new insights on Schrödinger operators and quantum observables.
Analysis of Uncertainties in Precision Measurements - Lecture 2
Comprehensive exploration of uncertainty analysis in precision measurements, covering theoretical foundations and practical applications for advanced metrology and quantum sensing.
Graduate Course on the Tangent Groupoid in Noncommutative Geometry - Lecture 3
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in mathematical physics and operator algebras.
Complex Numbers in Fourier Series and Quantum Mechanics
Explore complex numbers in harmonic analysis, focusing on the unit circle. Learn about Laplacian operators, harmonic polynomials, and integration theory, with applications to quantum mechanics and physics.
Knot Theory in Mathematics and AI Applications
Explore the fascinating world of knot theory and its connections to mathematics and AI in this engaging talk by Ernesto Lupercio from CINVESTAV.
Introduction to Chern Simons Theory and Topology
Explore Chern Simons Theory and its connections to topology with renowned physicist Edward Witten in this advanced workshop on quantum information and physics.
TQFTs and the Renaissance of the Algebraic Topology of Manifolds
Explore the resurgence of algebraic topology in manifold studies, focusing on Topological Quantum Field Theories and their impact on modern mathematical research.
Quantum Diffusion Convolution Kernels on Graphs
Explore quantum diffusion convolution kernels for graph neural networks, improving predictive accuracy through quantum particle propagation and multiscale message passing techniques.
Integrability of Open^2 Quantum Circuits
Explore integrability of open^2 quantum circuits with Chiara Paletta, delving into advanced concepts in gauge and string theory.