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 - Homological Link Invariants from Floer Theory
Explore a groundbreaking connection between homological mirror symmetry and representation theory, solving the knot categorification problem and generalizing Heegard-Floer theory to simple Lie superalgebras.
Homological Mirror Symmetry for Theta Divisors
Explore complex moduli of theta divisors in abelian varieties and their mirror Landau-Ginzburg models, focusing on global homological mirror symmetry across the entire moduli space.
Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces
Explore functorial mirror symmetry for very affine hypersurfaces, examining Auroux's conjectures and their modifications to account for derived structures in complement mirrors.
Homological Mirror Symmetry - Yan Soibelman
Explore holomorphic Floer theory, wall-crossing structures, and their connections to Chern-Simons theory. Discover the interplay between complex symplectic geometry and quantum field theory in this advanced mathematics lecture.
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.
Homological Mirror Symmetry and Higgs-Coulomb Correspondence in Abelian GLSMs
Explore Higgs-Coulomb correspondence in abelian GLSMs, examining virtual counts of Landau-Ginzburg quasimaps and Mellin-Barnes integrals. Learn about wall-crossing and stability conditions in GLSM invariants.
Homological Mirror Symmetry - Floer Homotopy Theory
Explore recent developments in Floer generalized homology groups, their applications, and ongoing research on curvature in Floer homotopy theory with expert Mohammed Abouzaid.
Homological Mirror Symmetry - Counting Curves on Calabi-Yau Threefolds
Explore advanced mathematical concepts in counting curves on Calabi-Yau threefolds, including Grothendieck groups, Gopakumar-Vafa conjecture, and MNOP conjecture implications.
Homological Mirror Symmetry - Floer Homotopy Theory
Explore recent developments in Floer generalized homology groups, their applications, and ongoing research on curvature in Floer homotopy theory with Mohammed Abouzaid.
On the Rouquier Dimension of Wrapped Fukaya Categories
Explores Rouquier dimension of wrapped Fukaya categories, linking symplectic topology to algebraic geometry through homological mirror symmetry. Discusses applications to Lagrangian intersections and Lefschetz fibrations.
Homological Mirror Symmetry for Hypersurface Singularities II
Explores graded matrix factorizations of invertible polynomials and stability conditions in homological mirror symmetry for singularities, continuing from a previous lecture.
Homological Mirror Symmetry for Hypersurface Singularities
Explore homological mirror symmetry for hypersurface singularities, covering basic definitions, Berglund-Hubsch duality, known results, and detailed examples in this advanced mathematics lecture.
D-Modules and Toric Schobers
Exploring mirror symmetry using perverse sheaves of categories and schobers, with focus on B-side category in toric homological mirror symmetry and associated D-module characteristic cycles.
Homotopy Path Algebras
Explore Homotopy Path Algebras and their applications in algebraic topology, sheaf theory, and toric geometry. Discover connections to homological mirror symmetry and recent developments in the field.
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.
Homological Mirror Symmetry for Not-So-Simple Singularities - Yanki Lekili
Explore homological mirror symmetry for invertible polynomials' Milnor fibers, focusing on explicit conjectures and proofs for simple and not-so-simple singularities.
Homological Mirror Symmetry: Recent Developments and Future Directions
Explore recent advancements in Homological Mirror Symmetry and their impact on Mathematics. Join experts to survey new results and discover collaborative opportunities in this field.
Hodge Structures in 8-Dimensional Homotopy Hopf Manifolds
Explore Hodge structures on 8-dimensional homotopy Hopf manifolds, examining connections between these structures and K3 surfaces, with implications for Homological Mirror Symmetry.
Homological Mirror Symmetry - Recent Developments and Future Directions
Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in this transformative mathematical field.
Homological Mirror Symmetry - Recent Developments and Future Directions
Survey of recent developments in Homological Mirror Symmetry, exploring new results and future directions. Part of a conference celebrating Jeffrey Fuqua's contributions to Mathematics.