Skein Exact Triangles in Equivariant Singular Instanton Theory
Explore knot signatures and singular instanton homology, focusing on skein exact triangles in equivariant theory. Uncover new insights into link invariants and their categorifications.
Stability Structures in Holomorphic Morse-Novikov Theory
Explore complex symplectic manifolds, Floer theory, and Morse-Novikov theory. Delve into analytic questions of convergence and generalization to almost-complex cases in this advanced mathematical lecture.
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.
Semi-Affineness of Wrapped Invariants on Affine Log Calabi-Yau Varieties
Explore mirror symmetry in affine log Calabi-Yau varieties, examining finiteness properties of Floer theoretic invariants and their implications for categorical crepant resolutions.
Birational Calabi-Yau's and Floer Cohomology
Explore the relationship between Gromov-Witten invariants of birational Calabi-Yau manifolds using Hamiltonian Floer theory, including the generalized McKay correspondence and small quantum products.
Mohammed Abouzaid: Bordism and Floer Theory
Explore the intersection of Morse theory and infinite-dimensional spaces in topology. Learn about recent advances in Floer theory and its applications to generalized homology and derived orbifold bordism.
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.
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.
A-Infinity Functor in Symplectic Geometry and Gauge Theory
Explore advanced concepts in Floer theory, focusing on representability of A-infinity functors in symplectic geometry and gauge theory applications.
Heegaard Branes and Exact Results for Non-perturbative Complex Chern-Simons Theory
Explore Heegaard branes in moduli spaces of Higgs bundles and their applications in mathematics, from geometric Langlands to low-dimensional topology and complex Chern-Simons theory.
Coproduct Structures in Floer Theory and String Topology
Explore coproduct structures in Floer theory and string topology, including a new structure on symplectic cohomology of Liouville manifolds, with computational examples.
Floer Theory and Quantum Groups
Explore Floer theory, quantum groups, and gauge theories in 3-manifolds. Discover connections between moduli spaces, Floer invariants, and skein modules in topological quantum field theory.
Plumber's Algebra Structure on Symplectic Cohomology
Delve into advanced symplectic geometry concepts, exploring Plumber's PROP structures, nodal Riemann surfaces, and their applications to cohomological field theories and curve counting methods.
Algebraic Torsion of Concave Boundaries of Linear Plumbings
Delve into advanced symplectic geometry concepts, focusing on algebraic torsion in contact manifolds and its applications to understanding topological complexity through curve counting methods and Floer theories.