Relative Symplectic Cohomology of Pairs
Explore relative symplectic cohomology of pairs, its properties, and applications in symplectic rigidity phenomena. Gain insights into this generalized invariant for subsets in symplectic manifolds.
Waists, Widths and Symplectic Embeddings
Explore geometric measures of manifolds and their applications to symplectic embeddings. Discover area estimates for minimal submanifolds and quantitative symplectic camels in this advanced mathematics talk.
Homological Mirror Symmetry - Lagrangian SYZ Fibrations
Explore Lagrangian SYZ fibrations in symplectic geometry, focusing on integral affine manifolds with singularities and the construction of local models and gluing techniques.
Real Gromov-Witten Theory
Survey of recent developments in real Gromov-Witten theory, covering construction challenges, structural results, and connections to physics. Explores moduli spaces, invariants, and enumerative geometry.
Introduction to Fukaya Categories - James Pascaleff
Explore symplectic geometry fundamentals for Fukaya categories, covering symplectic manifolds, Lagrangian submanifolds, exactness conditions, and more in this comprehensive lecture.
Introduction to Contact Geometry by Dheeraj Kulkarni
Explore contact geometry fundamentals, including Frobenius theorem, contactomorphisms, and Gray stability theorem. Learn about symplectic structures and their relation to contact manifolds.
Open-Relative Correspondence and Topological Recursion
Explore the connection between open Gromov-Witten invariants and relative Gromov-Witten invariants in symplectic geometry, and their relation to topological recursion.
Introduction to Fukaya Categories - James Pascaleff
Explore examples of Fukaya categories, focusing on surfaces and potentially other cases, building upon previous lectures on symplectic geometry and Floer cohomology.
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.
TRANSVERSE POISSON STRUCTURES TO ADJOINT ORBITS IN A COMPLEX SEMI-SIMPLE LIE ALGEBRA
Explore transverse Poisson structures in complex semi-simple Lie algebras, focusing on adjoint orbits and their nilpotent cases. Discover determinantal formulas and quasihomogeneous polynomials in this advanced mathematical topic.
The Momentum Mapping of the Affine Real Symplectic Group
Explore the momentum mapping of the affine real symplectic group, delving into its mathematical properties and applications in geometric analysis.
The Z/p Gysin Sequence in Symplectic Cohomology
Explore Z/p-equivariant symplectic cohomology and its Gysin sequence, connecting S^1 and Z/p versions. Discover applications to Seidel's conjecture on localized S^1-equivariant symplectic cohomology.
The Liouville Current and Complex Structures for Hitchin Representations - F. Labourie
Explore Hitchin representations, Liouville currents, and complex structures in this advanced mathematics lecture, covering theorems, symplectic manifolds, and modular space vibrations.
Homological Mirror Symmetry - Non-Holomorphic Deformations of Landau-Ginzburg
Explore non-holomorphic deformations of Landau-Ginzburg models, examining derived moduli spaces, Frobenius manifold structures, and Gromov-Witten invariants in symplectic geometry.
Локалізаційне обчислення інтегралів на симплектичних многовидах
Dive into advanced mathematical physics concepts focusing on computing integrals over symplectic manifolds, Duistermaat-Heckman theorem, and its applications to instanton moduli spaces.
Relative Symplectic Cohomology of Pairs
Delve into advanced symplectic geometry concepts, focusing on relative symplectic cohomology's extension to subset pairs and its applications in demonstrating new symplectic rigidity phenomena.
The Exponential Type Conjecture for Quantum Connections
Delve into quantum connections and formal singularity types, exploring the exponential type conjecture proof for closed monotone symplectic manifolds through mod p arguments and Katz's theorem.
Anchored Symplectic Embeddings and Non-Squeezing Phenomena in Four Dimensions
Delve into advanced symplectic geometry, exploring non-squeezing phenomena, Markov numbers, and the relationship between symplectic embeddings and surface anchors in four-dimensional spaces.