W-algebras and Lax Operators - Lecture 3
Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures using advanced algebraic techniques.
Embeddings of Kac-Moody Affine Grassmannian Slices
Explorez les développements récents dans la théorie des représentations géométriques, en se concentrant sur les tranches de Grassmanniennes affines de type Kac-Moody et leur construction via les branches de Coulomb.
The Method of Gauge Transform II
Explorez la méthode de transformation de jauge et son application aux problèmes spectraux périodiques et ergodiques avec Jeffrey Galkowski.
The Method of Gauge Transform - Lecture 4
Explorez la méthode de transformation de jauge et ses applications dans les problèmes spectraux périodiques et ergodiques avec Jeffrey Galkowski de l'University College London.
Spherical Functions and Mirror Symmetry
Explore spherical functions and mirror symmetry in mathematics, bridging quantum physics and the Langlands Program through innovative interdisciplinary approaches.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 4
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 2
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 1
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
The Method of Gauge Transform - Lecture 3
Explore advanced mathematical concepts in periodic and ergodic spectral problems, focusing on the Gauge transform method.
S-duality and Lie Super-algebras
Explore geometric realization of quantum simple Lie super-algebras, S-duality, and connections to geometric Langlands correspondence and relative Langlands duality.
Langlands Duality for the Affine Hecke Category
Explore Langlands duality for affine Hecke category, its applications in representation theory, and potential generalizations to symplectic singularities. Gain insights into geometric local Langlands duality.
Intersection Theory on Moduli Space of Super Riemann Surfaces
Explore intersection theory on super Riemann surface moduli spaces, including recursion formulas, polynomiality, and applications to JT gravity.
Construction of Solution Landscape for Complex Systems
Explore the novel "Solution Landscape" concept and its applications in complex systems, including nematic liquid crystals, crystalline phases, and Bose-Einstein condensates.
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.
Recent Progress on Gamma Conjectures - ICBS 2024
Explore recent advancements in Gamma conjectures, including modifications to Gamma conjecture I and its application over Kähler moduli space.
Changing the Fibered Multiplier of an Attracting Invariant Curve for a QPF Map
Explore techniques for modifying fibered multipliers of attracting invariant curves in quasi-periodically forced maps, enhancing understanding of dynamical systems.
Chaos and Relaxation in a Dissipative Sachdev-Ye-Kitaev Model
Explore chaos and relaxation in the Sachdev-Ye-Kitaev model coupled to the environment. Analyze anomalous relaxation, solve Schwinger-Dyson equations, and interpret non-Hermitian Lindblad operator spectra.
Floquet Engineering - Exploring Control and Phenomena of High-Frequency Electromagnetic Fields in Condensed-Matter Structures
Explore Floquet engineering in condensed-matter structures, examining oscillations under various field conditions and their detection through pump-probe spectra. Uncover intriguing phenomena like the Bloch-Siegert shift.
The Cyclic Open-Closed Map, U-Connections and R-Matrices
Explore connections between Gromov-Witten invariants and Fukaya categories, focusing on the cyclic open-closed map, u-connections, and R-matrices. Delve into recent progress and potential extensions beyond semisimple cases.
A Strong Closing Lemma for Ellipsoids
Explore a proof of Irie's conjecture on creating Reeb orbits in ellipsoids through small perturbations, using contact homology and holomorphic intersection theory.
Perturbations of Parabolic Endomorphisms in Dimension 2
Explore perturbations of parabolic endomorphisms in 2D with Jasmin Raissy. Gain insights into dynamic systems and their applications in this international mathematics conference talk.