Equivariant Symplectic Homology - Ekeland-Hofer Capacities and Gutt-Hutchings Capacities
Explore the connection between Ekeland-Hofer and Gutt-Hutchings capacities in star-shaped domains, unraveling their equivalence through equivariant symplectic homology.
On the Algebraic Structure of Groups of Area-Preserving Homeomorphisms - Lecture 2
Explore the algebraic structure of area-preserving homeomorphism groups, focusing on Fathi's question and the simplicity conjecture for compact surfaces. Discover link spectral invariants and their role in solving this problem.
On the Algebraic Structure of Groups of Area-Preserving Homeomorphisms - Lecture 1
Explore the algebraic structure of area-preserving homeomorphism groups, focusing on Fathi's question and the simplicity conjecture for compact surfaces. Gain insights into link spectral invariants and their role in solving this problem.
The Completion of the Space of Lagrangian Submanifolds for the Spectral Metric
Explore the spectral metric on Lagrangian spaces, its completion, and connections to symplectic topology and sheaf theory through quantization.
An Application of Symplectic Topology to Algebraic Geometry
Explore symplectic topology's application to algebraic geometry, connecting Rouquier's triangulated category dimension to Krull dimension via homological mirror symmetry.
Fillable Contact Structures From Positive Surgery
Exploring conditions for fillable contact structures from positive surgery on Legendrian knots, with applications to topological consequences and lens space surgeries.
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.
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.
Applications of the Relation Between Cluster Algebras and Symplectic Topology - Part 2
Explore applications of cluster algebras in symplectic topology, including detection of Lagrangian fillings and holomorphic symplectic structures. Examine implications for Richardson varieties and quasi-cluster structures.
Cluster Algebras Associated to Bott-Samelson Braids
Explore cluster algebras associated with Bott-Samelson braids, focusing on Legendrian links and their connection to algebraic varieties and Lagrangian fillings. Discover weaves and their computational applications.
Cluster Algebras for General Braid Varieties
Explore cluster algebras on braid varieties using weaves, Lusztig cycles, and symplectic topology. Gain insights into localization processes and A=U proof through Lie-theoretic and combinatorial perspectives.
Symplectic Capacities of Domains Close to the Ball and Quasi-Invariant Contact
Explore symplectic capacities of domains near balls and quasi-invariant contact forms in this advanced mathematical discussion on symplectic dynamics and Reeb geometry.
Holomorphic Floer Theory and Resurgence - Lecture 3
Explore holomorphic Floer theory and its connection to resurgence, examining the Riemann-Hilbert correspondence and its implications for perturbative expansions in mathematics and physics.
Towards a Mathematical Theory of 3D Mirror Symmetry
Explore the mathematical implications of 3D mirror symmetry, connecting quantum field theory dualities to algebraic geometry and symplectic topology. Uncover links to geometric Langlands and symplectic duality.
Symplectic Topology, Stability Conditions and Quadratic Differentials
Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
Symplectic Topology, Stability Conditions and Quadratic Differentials
Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
A Connected Sum Formula of Embedded Contact Homology
Explore la fórmula de suma conexa en homología de contacto incrustada, examinando el comportamiento de curvas pseudoholomorfas en simplectización bajo esta operación.
Interactions Between Smooth and Symplectic Topology
Explore the interplay between smooth and symplectic topology, delving into advanced mathematical concepts and their applications in geometric structures.
Lagrangian Concordance is Not a Partial Order
Delve into advanced mathematical concepts exploring why Lagrangian concordance fails to establish a partial order, with detailed proofs and theoretical foundations.