Introduction to BPS Spectra and Quantum Invariants - Lecture 2
Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.
Introduction to BPS Spectra and Quantum Invariants - Lecture 3
Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.
Introduction to Non-Commutative Geometry - Lecture 3
Explore advanced concepts in non-commutative geometry, delving into complex mathematical structures and their applications in theoretical physics and quantum mechanics.
Introduction to Non-Commutative Geometry - Lecture 2
Explore non-commutative geometry concepts and applications in this advanced mathematics lecture, building on foundational principles to deepen understanding of complex algebraic structures.
Surjective Submersions, Bundle Gerbes, Group Cohomology and Applications - Part 1
Explore advanced mathematical concepts including surjective submersions, bundle gerbes, and group cohomology, with insights into their applications in theoretical physics.
Balanced Metrics and the Hull-Strominger System
Explore balanced metrics and the Hull-Strominger system in complex geometry, examining their connections and applications in mathematical physics.
Hopf Algebroids, Atiyah Sequences and Noncommutative Gauge Theories
Explore Hopf algebroids, Atiyah sequences, and their applications in noncommutative gauge theories with expert insights and advanced mathematical concepts.
Basic Curvature, the Atiyah Cocycle and BV
Explore advanced mathematical concepts including curvature, Atiyah cocycle, and BV formalism in this in-depth lecture by Athanasios Chatzistavrakidis.
T-duality for Torus Actions with Fixed Points
Explore T-duality in torus actions with fixed points, examining mathematical concepts and their applications in theoretical physics and geometry.
Hypoelliptic Laplacian and the Trace Formula
Explore geometric formulas for semisimple orbital integrals, connecting heat equation methods to Selberg's trace formula through Laplacian deformations and Fokker-Planck operators.
The Hypoelliptic Laplacian in Real and Complex Geometry
Explores the hypoelliptic Laplacian's construction and applications in real and complex geometry, focusing on de Rham and Dolbeault theories and its role as a geometric Fokker-Planck operator.
Derived Higher Lie Groupoids
Explore advanced concepts in algebraic topology and differential geometry, focusing on derived higher Lie groupoids and their applications in Hamiltonian geometry.
Differential Geometry over C∞-Rings
Explore advanced concepts in differential geometry using C∞-rings, delving into theoretical foundations and applications in mathematical physics and algebraic geometry.
Skein Valued Open Gromov-Witten Invariants and Cluster Mutations
Explore skein-valued open Gromov-Witten invariants and cluster theory for Lagrangians in C^3, including wavefunctions, computations, and a skein-valued dilogarithm with pentagon relation.
Counting Holomorphic Disks with Boundary on the Chiang Lagrangian
Explore open Gromov-Witten invariants and holomorphic disks on the Chiang Lagrangian, examining periodic behaviors and arithmetic structures in open WDVV equations.
Resurgent Perverse Sheaves and Topological Resurgence Theory
Explore topological counterparts of resurgence theory using perverse sheaves on C as convolution algebras, extending beyond regular holonomic D-modules to infinitely singular cases.
The Geometry and Arithmetic of Banana Nano-Manifolds
Explore the geometry and arithmetic of banana nano-manifolds, focusing on new rigid Calabi-Yau threefolds and their Donaldson-Thomas partition functions, Gromov-Witten potentials, and modular properties.
Arclike Lagrangians in Liouville Sectors
Explore arclike Lagrangians in Liouville sectors, examining their behavior across subsector boundaries and potential for explicit local-to-global analysis in wrapped Fukaya categories.
Mirror Symmetry via Floer Theoretic Invariants
Explore generalized Delzant subdomains, relative symplectic cohomology, and mirror symmetry construction using Floer theoretic invariants. Delve into HMS functor and local generation concepts.
P=W via H2 - Moduli Space of Stable Twisted Higgs Bundles
Explore the cohomology of stable twisted Higgs bundles moduli space through $H_2$ Lie algebra action, unifying weight and perverse filtrations via tautological classes and Hecke operators.
The Closed String Mirror Construction
Explore the closed string mirror construction in symplectic geometry, examining its relation to the SYZ conjecture and potential applications in mirror symmetry.