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.
Quiver Structures of Knot Invariants, Open Strings, and Recursion
Explore quiver structures in knot theory, connecting HOMFLY-PT polynomials to motivic Donaldson-Thomas invariants through string theory and M-brane interactions.
Knots, Topological Strings and Quivers
Explore knot invariants, their role in topological string theory, and the knot-quiver correspondence in advanced mathematical physics.
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.
Introduction to Quiver BPS Algebras - Part 4
Explore quiver BPS algebras with Wei Li, delving into advanced concepts and applications in mathematical physics and representation theory.
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 3
Explore advanced concepts in quiver BPS algebras, delving into complex mathematical theories and applications in theoretical physics.
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.
Curvature Contribution to the Essential Spectrum of Dirac Operators with Critical Shell Interactions
Explore the essential spectrum of 3D Dirac operators with critical shell interactions, examining how surface geometry influences spectral properties in quantum mechanics.
Unique Continuation for Solutions of Discrete and Continuous Elliptic Partial Differential Equations
Explore unique continuation properties for elliptic equation solutions, including discrete harmonic functions and the Landis conjecture, with applications to Anderson localization.
A Tribute to John Harnad and Developments on Association Schemes
Explore John Harnad's influence and recent developments in higher rank association schemes through a personal account and mathematical overview.
Ergodic Theory of the Stochastic Burgers Equation
Explorez la théorie ergodique de l'équation de Burgers stochastique, en examinant les distributions stationnaires et les propriétés à long terme des minimiseurs d'action lagrangienne aléatoires.
Random Plane Geometry - A Gentle Introduction
Explore random plane geometry and its scaling limits, focusing on first passage percolation and the directed landscape in Kardar-Parisi-Zhang models.
A Journey from Statistical Mechanics to Number Theory
Explore connections between statistical mechanics and number theory, focusing on the Riemann zeta function and its relation to phase transitions in disordered systems.
Reducible but Indecomposable Representations in Mathematical Physics
Explore representation theory in non-unitary physical systems, focusing on reducible but indecomposable representations and their importance in statistical loop models and CFT.
K-tilings of the Aztec Diamond
Explore K-tilings of the Aztec diamond, a fascinating mathematical concept in integrable systems and exactly solvable models.
Crystal Bases in Statistical Mechanics, Representation Theory and Combinatorics - Part II
Explore crystal base theory applications in symmetric functions and cyclic sieving through combinatorial crystal definitions in statistical mechanics and representation theory.