Symplectic Capacities, Viterbo Isoperimetric Conjecture, and Contact Manifolds with Closed Reeb Orbits
Explore symplectic capacities, Viterbo's conjecture, and their impact on symplectic geometry. Gain insights into convex geometry applications and closed Reeb orbits in contact manifolds.
Graph Complex Action on Poisson Structures: From Theory to Computation
Explore graph complex action on Poisson structures, from theoretical foundations to computational applications using SageMath's gcaops package for advanced mathematical research.
Stable Homotopy Groups, Higher Algebra, and the Telescope Conjecture
Explore stable homotopy groups, spectra, and their applications in topology and geometry. Gain insights into fundamental concepts shaping modern algebraic topology and related fields.
Poisson Structures on Character Varieties
Explore Poisson structures on character varieties, examining maps between oriented surfaces and their impact on conjugacy classes of fundamental group representations into Lie groups.
Skein Valued Counts of Open Curves in Calabi-Yau Threefolds
Explore holomorphic curve counting in Calabi-Yau threefolds using HOMFLYPT skein module, examining deformation invariance and recursion relations in non-compact cases.
Functoriality and Sheaf Property for Wrapped Fukaya Categories
Explore functorial and sheaf-theoretic properties of wrapped Fukaya categories, surveying key results and insights in this advanced mathematical topic.
Integrable Billiards and Rigidity - Lecture 1
Explore integrable billiards and the Birkhoff-Poritsky conjecture, focusing on Hopf-type rigidity and its extension to Twist symplectic maps and billiards.
Symplectomorphism Invariants of Open Domains
Explore symplectomorphism invariants of open domains, focusing on zeta functions, Reeb dynamics, and equivariant symplectic homology to distinguish toric domains.
On the Hofer-Zehnder Conjecture - Periodic Points of Hamiltonian Diffeomorphisms
Explore Hofer-Zehnder conjecture on periodic points of Hamiltonian diffeomorphisms, examining recent progress using persistence modules, barcodes, and Floer cohomology power operations.
Tightness and Legendrian Surgery in Contact Structures
Explore contact structures, open book decompositions, and tightness characterization in 3-manifolds. Investigate preservation of tightness under Legendrian surgery.
Categorification of Lagrangian Floer Theory and Its Relation to Various Mathematics
Explore categorification of Lagrangian Floer theory and its connections to diverse mathematical fields with renowned mathematician Kenji Fukaya.
On Fillings of Contact Links of Isolated Quotient Singularities - Workshop on Conservative Dynamics and Symplectic Geometry
Explore fillings of contact links in isolated quotient singularities. Delve into strong and exact fillings, tight criteria, terminal singularities, and orbifold symplectic cohomology in this advanced mathematics lecture.
Quantitative Refinements of Conjectures in 3D Reeb Dynamics - Workshop on Conservative Dynamics and Symplectic Geometry
Explore quantitative refinements of conjectures in 3D Reeb dynamics and related results. Delve into symplectic topology, Hamiltonian dynamics, and contact geometry with expert Umberto Hryniewicz.
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.
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.
Computing Embedded Contact Homology in the Morse-Bott Setting Using Cascades
Explore embedded contact homology computation in Morse-Bott settings using cascades, with applications and gluing results for ECH calculations.
The Cyclic Open-Closed Map, U-Connections and R-Matrices
Explore connections between Gromov-Witten invariants and Fukaya categories, focusing on the cyclic open-closed map, u-connections, and R-matrices. Delve into recent progress and potential extensions beyond semisimple cases.
Functoriality for Fukaya Categories of Very Affine Hypersurfaces
Explore functoriality in Fukaya categories of very affine hypersurfaces, examining acceleration and restriction functors, gluings of Liouville sectors, and connections to mirror symmetry.
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.
Circle Action of Microlocal Kernels
Explore the construction of an S^1 action using microlocal kernels and its application in the sheaf theoretical proof of the contact non-squeezing theorem.
A Strong Closing Lemma for Ellipsoids
Explore a proof of Irie's conjecture on creating Reeb orbits in ellipsoids through small perturbations, using contact homology and holomorphic intersection theory.