Perturbations of Periodic Sturm-Liouville Operators
Explore perturbations of periodic Sturm-Liouville operators, focusing on Hill's equation and its applications in crystal physics. Analyze spectral changes under L1-assumptions and finite first moment conditions.
Linear Systems and Differential Equations in Random Matrix Theory
Explore linear systems and differential equations in random matrix theory, focusing on solving nonlinear equations using Hankel operators, Fredholm determinants, and tau functions.
Outliers of Perturbations of Banded Toeplitz Matrices
Explore outlier eigenvalues of perturbed banded Toeplitz matrices, focusing on their behavior in regions outside the limiting spectral distribution's support as matrix size increases.
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.
Quantum Periods for Complements
Explore quantum periods for complements, focusing on polynomial-defined spectral curves and quantization of polynomial algebras. Gain insights into cohomological descriptions of WKB series.
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.
Chirality and Topology in Materials Science - Lecture 34
Explore chirality and topology in materials science with Prof. Claudia Felser's lecture on cutting-edge research and applications.
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.
New Equivariant Dimensions
Explore equivariant dimensions with Ludwik Dąbrowski, delving into advanced mathematical concepts and their applications in theoretical physics.
C*-Algebras of Classical and Quantum Groupoids - Part II
Explore advanced concepts in C*-algebras, focusing on classical and quantum groupoids. Delve into theoretical foundations and applications in mathematical physics.
C*-Algebras of Classical and Quantum Groupoids - Part I
Explore C*-algebras of classical and quantum groupoids in this advanced mathematical lecture by Byung-Jay Kahng from Canisius College, USA.
Universal C*-algebras - Part II
Explore advanced concepts in universal C*-algebras, delving into theoretical foundations and applications in functional analysis and operator theory.
Directed Graphs, Variations on Directed Graphs, and Their C*-Algebras - Part III
Explore directed graphs, variations, and C*-algebras, focusing on finitely aligned and hereditary sets, quantum mechanics, and Afro Shen algebra.
Principal Differential Calculi on Quantum Flag Manifolds
Explore quantum flag manifolds through principal differential calculi, covering key concepts like Schneider Theorem and covariant calculi with Thomas Weber.
Knot Quantum Invariants, Graphs, and Combinatorics - Part 2
Explore advanced concepts in knot theory, focusing on quantum invariants, graph theory, and combinatorial techniques. Delve into intricate mathematical relationships.
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.
Knots-Quivers Correspondence: Generalizations and Combinatorics
Explore knots-quivers correspondence, its extensions, and applications in enumerative combinatorics, including lattice paths and Schröder paths counting.
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 5
Explore quiver BPS algebras with Wei Li, delving into advanced mathematical concepts and their applications in theoretical physics and algebraic geometry.