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.
Topological Recursion: A Recursive Way of Counting Surfaces
Explore topological recursion for enumerating surfaces in combinatorics, geometry, and physics. Learn how this universal method links to integrable systems and random matrices.
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.
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.
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.
Extensions of Affine Algebra Vertex Operator Algebras
Explore extensions of affine algebra VOAs, focusing on V(g,k) for simple Lie algebras. Learn about finite-index extensions, simple currents, and quantum subgroups in module category classification.
Mock Modularity of Calabi-Yau Threefolds - ICBS 2024
Explore modular properties of generating functions for Donaldson-Thomas invariants in Calabi-Yau threefolds, their physical origins, and applications in string theory compactifications.
Sheaves on Calabi-Yau 4-folds and Virtual Invariants - An Overview
Explore developments in enumerative geometry on Calabi-Yau 4-folds, including point counting, curve counting, and surface counting, with connections to string theory and physics.
Modularity of Donaldson-Thomas Invariants on Compact Calabi-Yau Threefolds
Explore Donaldson-Thomas invariants, their connection to BPS indices, and modular behavior in string theory. Gain insights into computational methods and applications to Gopakumar-Vafa invariants and topological string amplitudes.
Metric SYZ Conjecture for Calabi-Yau Manifolds - ICBS 2024
Explore special Lagrangian torus fibrations on Calabi-Yau manifolds, focusing on recent progress and the Fermat family of hypersurfaces.
A Finite Dimensional Proof of the Verlinde Formula
Explore a purely algebro-geometric proof of the Verlinde formula, examining recurrence relations for curve genus and parabolic points in generalized theta function spaces.
Understanding the Relationship Between the Schramm-Loewner Evolution and the Gaussian Free Field
Explore the connection between Schramm-Loewner Evolution, Gaussian Free Field, and Liouville Quantum Gravity through a novel, accessible approach for non-specialists.
Gromov-Witten Type Theory and Statistical Physics
Explore connections between Gromov-Witten theory and statistical physics, applying concepts from both fields to gain new insights and tackle complex problems in topological string theory.
Formalizing the ∞-Categorical Yoneda Lemma
Explore the first formalization of ∞-category theory's Yoneda lemma using Rzk, a new proof assistant for synthetic ∞-category theory, paving the way for advanced mathematical proofs.