Gromov-Hausdorff Convergence of Filtered A Infinity Categories
Explore Floer homology's dependence on Hamiltonian isotopy, its multiplicative structure, and connections to homological Mirror symmetry in formal deformation theory.
Hyper-Kähler Manifolds - Part 2
Explore advanced properties of hyper-Kähler manifolds, focusing on 4-dimensional cases and their topological characterization in relation to K3 surfaces and abelian surfaces.
Topological Recursion, Virasoro-W-Algebra Constraints, and Kontsevich-Soibelman
Explore Virasoro and W-algebra constraints in topological recursion, Kontsevich-Soibelman operators, and their connection to Conformal Field Theory in this advanced mathematics lecture.
Topological Recursion - Lecture I
Explore the foundations of topological recursion with expert Bertrand Eynard, delving into mathematical concepts and applications in this comprehensive lecture.
Homological Mirror Symmetry for Higher Dimensional Pairs of Pants
Explore homological mirror symmetry for higher dimensional pairs-of-pants, examining the equivalence between wrapped Fukaya category and derived category of coherent sheaves on coordinate hyperplanes.
Homological Mirror Symmetry - Coulomb Branches & Rozansky-Witten Theory Pt. II
Explore Rozansky-Witten theory and its connection to homological mirror symmetry, from basics to modern developments involving non-compact and infinite-dimensional target spaces.
Homological Mirror Symmetry - Coulomb Branches and Rozansky-Witten Theory
Explore Rozansky-Witten theory and its connection to homological mirror symmetry, from basics to modern developments involving non-compact spaces and ongoing research.
Homological Mirror Symmetry - Twisted Shklyarov Pairing & Applications
Explore twisted Shklyarov pairing in Hochschild homology, its applications to Lefschetz fibrations, mirror symmetry, and classical problems. Joint work with Paul Seidel presented.
Homological Mirror Symmetry - Introduction to 3D Mirror Symmetry
Explore 3d mirror symmetry's duality between holomorphic symplectic manifolds, focusing on a new 2-categorical formulation that extends homological mirror symmetry concepts.
Products of Matrices, Non-Abelian Hodge Theory, Integrable Systems, and Theories of Class S
Explore connections between Deligne-Simpson problem and Hitchin systems, delving into SCF Theories of Class S and 3D mirror symmetry in this advanced mathematics lecture.
Orbifolds as Stacks & Stringy Cohomology and Localization
Explore orbifolds as stacks, twisted sectors, stringy cohomology, and localization methods in advanced mathematics with expert Ernesto Lupercio from CINVESTAV.
Discriminants and Toric Birational Geometry
Explore Gorenstein toric singularities, B-side categories in toric homological mirror symmetry, and GKZ hypergeometric D-modules. Discover the conjectural construction of associated spherical functors.
Does Math Reveal Reality?
Explore the profound connection between mathematics and physical reality with leading thinkers. Delve into whether math is a human invention or an intrinsic part of the universe's fabric.
Generalized Riemann Hypothesis and Brownian Motion - Giuseppe Mussardo
Explore the fascinating connection between number theory and physics, focusing on the Riemann Hypothesis and its relation to Brownian motion through statistical physics perspectives.
Symmetry Protected Topological Phases, Cobordism, and QCA - IPAM at UCLA
Explore advanced concepts in topological phases of matter, including cobordism classification, SPT phases, and quantum cellular automata in this graduate-level lecture by Lukasz Fidkowski.
Yiannis Sakellaridis- Spherical Varieties, Functoriality, and Quantization
Explore spherical varieties, functoriality, and quantization in algebraic geometry and representation theory with Yiannis Sakellaridis' advanced mathematical lecture.
Homological Knot Invariants from Mirror Symmetry
Explore homological knot invariants through the lens of mirror symmetry, delving into advanced mathematical concepts and their interconnections in topology and geometry.
R. Kashaev - The Connection Between Integrals and Fourier Series
Explore the intricate relationship between integrals and Fourier series, delving into mathematical concepts that bridge these fundamental analytical tools in advanced calculus and mathematical physics.
T-Duality and Generalized G_2 Structures
Exploration of T-duality on nilmanifolds and its application to generate integrable generalized G_2-structures, offering new insights into manifold structures and their properties.
T-Duality and Generalized G_2 Structures
Exploration of T-duality on nilmanifolds and its application to generate integrable generalized G_2-structures, offering insights into manifolds with unique geometric properties.
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.