Structural Aspects of Fukaya Categories of LG Models
Explore Fukaya categories of Landau-Ginzburg models, monodromy, and related functors in this expository talk, covering work by Abouzaid-Seidel, Hanlon, Sylvan, Jeffs, and others.
Mixed Hodge Structures Attached to Hybrid Landau–Ginzburg Models
Explores mixed Hodge structures in Landau-Ginzburg models, focusing on functorial behavior and a new spectral sequence relating decomposed functions, with applications in mirror symmetry.
Numerical Methods for Scattering and Resonance Properties in Molecules and Solids
Explore numerical methods for discretizing continuum states in electronic structure, addressing scattering, photo-ionization, and resonances. Learn efficient computational techniques with applications in condensed matter physics and chemistry.
Charles Smart - Unique Continuation for Lattice Schrodinger Operators
Explore unique continuation for lattice Schrodinger operators with Charles Smart, delving into advanced mathematical concepts and their applications in quantum mechanics.
Hiroshi Iritani: On Decompositions of Quantum Cohomology D-Modules
Explore quantum cohomology D-modules and their decompositions with mathematician Hiroshi Iritani in this advanced mathematical lecture on complex algebraic geometry and topology.
Eigenvalue Problems and Error Control - IPAM at UCLA
Explore eigenvalue problems and error control in quantum mechanics, focusing on advanced mathematical and statistical techniques for solving complex computational challenges.
Introduction to Classical and Quantum Monte Carlo Methods for Many-Body Systems
Explore classical and quantum Monte Carlo methods for many-body systems, including Metropolis algorithms, Feynman's path integral formalism, and projector Monte Carlo techniques for fermion systems.
Don Zagier: Holomorphic Quantum Modular Forms
Explore holomorphic quantum modular forms, their connections to number theory and quantum knot invariants, and applications in odd weight Eisenstein series and Maass cusp forms.
Thermodynamical Formalism and Markoff-Hurwitz Equations
Explore connections between Diophantine geometry and fractals through Markoff-Hurwitz equations, transfer operators, and thermodynamical formalism. Discover links to various mathematical areas.
Carlos A. Ruiz, UNAM - Quantum Toric Geometry, Generalized Geometries & O-Minimality Conference
Explore advanced mathematical concepts in quantum toric geometry, generalized geometries, and o-minimality with expert Carlos A. Ruiz from UNAM in this in-depth conference presentation.
Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 2
Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and statistical mechanics.
Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 5
Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and probability theory.
Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 4
Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and probability theory.
More Deformations of the Cohomology Ring of the Moduli Space of Representations
Explore deformations of cohomology rings in representation spaces of Riemann surfaces, examining algebraic, geometric, and physical perspectives on this rich mathematical topic.
Standard and Less Standard Asymptotic Methods - Lecture 2
Explore advanced asymptotic methods in mathematics, delving into both standard and unconventional approaches to enhance problem-solving skills and theoretical understanding.
Quantum Toric Geometry and Tame Geometry via Motivic Rings II
Explore the connection between quantum toric manifolds and tame geometry through Hodge number computations of LVM manifolds, providing insights for future research in non-commutative geometry.
How Topological Recursion Organizes Quantum Fields on Noncommutative Geometries - Part 2
Explore advanced concepts in quantum field theory, focusing on topological recursion and its application to noncommutative geometries in this advanced mathematics lecture.
Monica Vazirani- Representations of the Affine BMW Category
Explore Walker's TQFT-motivated construction of affine BMW category representations, their combinatorial description, and implications for affine BMW algebra representations in this advanced mathematics lecture.
Homological Mirror Symmetry for Log Calabi-Yau Surfaces - Ailsa Keating
Explore homological mirror symmetry for log Calabi-Yau surfaces, constructing mirror Landau-Ginzburg models and examining connections to SYZ fibrations and related works in algebraic geometry.
TQFTs From Non-Semisimple Modular Categories and Modified Traces - Marco de Renzi
Explore advanced TQFTs, non-semisimple modular categories, and modified traces in topology. Learn about cutting-edge techniques for studying 3-manifolds and mapping class group representations.
TQFTs from Non-Semisimple Modular Categories and Modified Traces - Lecture I
Explore advanced topological quantum field theories, focusing on non-semisimple constructions and modified traces for powerful invariants and mapping class group representations.