Introduction to Lagrangian Fillings of Legendrian Links - Part 1
Explore Lagrangian fillings of Legendrian links, their construction, and techniques to distinguish Hamiltonian isotopy classes. Delve into the connection with cluster algebras and key proof elements.
Composition, DG-Modules, and Cobordism Maps in Bordered Floer Homology
Explore bordered Floer homology, dg-modules, and the topological interpretation of module homomorphism composition in Heegaard Floer complexes. Gain insights into cobordism maps and their consequences.
Equivariant Fukaya Categories at the Singular Value
Explore equivariant Fukaya categories, relating wrapped Fukaya categories of symplectic manifolds with Hamiltonian S^1 actions to their Hamiltonian reductions. Discover new conjectures and examples.
Categorification of Donaldson-Thomas Invariants
Explore categorification of Donaldson-Thomas invariants through derived foliations, extending BBDJS construction with a sheaf of 2-periodic dg-categories modeled on matrix factorizations.
A Symplectic Manifold Which Can't Be Fully Filled
Explore a unique toric domain in R^4, its symplectic properties, and packing stability failures. Discover obstructions from ECH capacities in this advanced mathematical discussion.
Invariance of Floer Cohomology Under Higher Mutation
Explore higher mutations in monotone toric fibers and their impact on Floer cohomology. Delve into locally mutable Lagrangians and neck-stretching techniques to understand invariance under local system changes.
Global Kuranishi Charts and Product Formula for Symplectic Gromov-Witten Invariants
Explore global Kuranishi charts for moduli spaces of stable pseudoholomorphic maps and their application in proving the product formula for symplectic Gromov-Witten invariants.
Open/Closed Correspondence and Mirror Symmetry in Gromov-Witten Theory
Explore open/closed correspondence in Gromov-Witten theory, examining numerical invariants, generating functions, and compatibility with mirror symmetry in toric Calabi-Yau manifolds.
Coherent Orientations of DGA Maps Associated to Exact Lagrangian Cobordisms
Explore coherent orientations of DGA maps in exact Lagrangian cobordisms, focusing on combinatorial formulas for mini-dipped pinch moves and applications to Heegaard Floer Homology.
Geometry and Topology of Spaces of Structured Matrices
Explore geometric and topological aspects of structured matrices, including momentum maps, frame spaces, and applications in compressed sensing and graph theory.
Equivariant Formality and Reduction
Explorez les concepts d'équivariance formelle et de réduction en mathématiques avancées avec Chiara Esposito dans cette conférence approfondie.
Stable Homology of Braid Groups with Symplectic Coefficients
Explore stable homology of braid groups with symplectic coefficients in this advanced mathematical lecture by Dan Petersen at CIRM's thematic meeting.
Counting Curves: Which, How and Why - Kirk Public Lecture
Explore enumerative geometry's evolution, from classical problems to modern developments influenced by string theory, highlighting connections to various mathematical fields.
Resonant Forms at Zero for Dissipative Anosov Flows
Explore analytic techniques in dynamics and geometry, focusing on resonant forms at zero for dissipative Anosov flows with Gabriel P. Paternain from the University of Cambridge.
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.
Geometric Quantization of General Kahler Manifolds
Explore geometric quantization on Kähler phase spaces, examining function quantization, Hilbert space structure, and Kähler structure dependence. Investigate curvature's impact on quantization.
Prospects for Spectral Mirror Symmetry
Explore advanced Fukaya categories, spectral ring coefficients, and mirror symmetry in symplectic geometry. Delve into cutting-edge research on generalizing Lagrangian Floer theory.
Insights and Challenges in Symplectic Capacities
Explore key insights and challenges in symplectic capacities, delving into advanced mathematical concepts and their applications in geometric analysis.
Riemannian Geometry of Gibbs Cones Associated to Nilpotent Orbits of Simple Lie Groups
Explore Riemannian geometry of Gibbs cones linked to nilpotent orbits in simple Lie groups, delving into advanced mathematical concepts and their applications.
Canonical Hamiltonian Systems in Symplectic Statistical Manifolds
Explore canonical Hamiltonian systems within symplectic statistical manifolds, delving into advanced mathematical concepts and their applications.
Symplectic Foliation Transverse Structure and Libermann Foliation of Heat Theory and Information
Explore advanced mathematical concepts in symplectic geometry, focusing on foliation structures and their applications to heat theory and information science.