Symplectic Geometry Seminar

Institute for Advanced Study via YouTube

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Explore advanced topics in symplectic geometry through this comprehensive seminar series featuring over 100 research talks from leading mathematicians worldwide. Delve into cutting-edge developments including symplectic rigidity, Hamiltonian dynamics, contact geometry, Floer theory, and mirror symmetry. Examine specialized areas such as embedded contact homology (ECH), Lagrangian submanifolds, holomorphic curves, and quantum cohomology. Investigate the interplay between symplectic topology and algebraic geometry through discussions of Fukaya categories, Gromov-Witten invariants, and categorical mirror symmetry. Study dynamical systems aspects including Reeb flows, area-preserving diffeomorphisms, and periodic orbits. Learn about recent breakthroughs in contact non-squeezing, symplectic embeddings, and the geometry of cotangent bundles. Discover connections to knot theory through Legendrian knots, contact homology, and Heegaard Floer theory. Explore applications to mathematical physics including quantum field theory, string topology, and deformation quantization. Gain insights into open problems and conjectures in the field, from Viterbo's conjectures to the Arnold conjecture, while examining both rigid and flexible phenomena in symplectic geometry.

Syllabus

Symplectic Rigidity of Anosov Flows Under Orbit Equivalence - Thomas Massoni
Subleading Asymptotics of ECH Capacities and Symplectic Packing Problems - Dan Cristofaro-Gardiner
Khovanov and Heegaard Floer homology - Gheehyun Nahm
Ahlfors Currents and Symplectic Non-Hyperbolicity - Spencere Cattalani
Lagrangian Correspondence for Microlocal Sheaves - Wenyuan Li
Homotopy Rigidity of Nearby Lagrangian Cocores - Johan Asplund
Hecke Algebras Via Morse Theory of Loop Spaces - Roman Krutowski
A Poincare-Birkhoff theorem for C0-Hamiltonian maps - Agustin Moreno
Dynamic and Topological Aspects of Hamiltonian Floer Theory on Surfaces - Dustin Connery-Grigg
On the Existence of Symplectic Barriers - Pazit Haim-Kislev
Symplectic Capacities of Domains Close to a Ball and Geodesics in the Space...- Alberto Abbondandolo
Locally Maximal Closed Orbits of Reeb Flows - Marco Mazzucchelli
Rigidity and Flexibility of Periodic Hamiltonian Flows - Gabriele Benedetti
Coarse Distance from Dynamically Convex to Convex - Jean Gutt
Contact Surgeries and Symplectic Fillability - Bulent Tosun
On Lagrangian Quasi-Cobordisms - Angela Wu
Exotic contact structures on ℝn - Joseph Helfer
Braid Stability for Periodic Orbits of Area-preserving Surface Diffeomorphisms - Michael Hutchings
Dynamics of Seifert Surfaces of Torus Knots Via ECH - Morgan Weiler
On Bennequin Type Inequality for Symplectic Caps of (S3,ξstd). - Anubhav Mukherjee
From Embedded Contact Homology to Surface Dynamics - Jo Nelson
Symplectic Embeddings and Infinite Staircases - Nicole Magill
Computing Embedded Contact Homology in the Morse-Bott Setting using Cascades - Yuan Yao
Embedding Obstructions for Non-Toric Rational Surfaces from Newton-Okounkov Bodies- Ben Wormleighton
Three-dimensional Anosov flows and non-Weinstein Liouville domains - Thomas Massoni
Locality and deformations in relative symplectic cohomology - Yoel Groman
Inner and outer billiards in symplectic spaces - Sergei Tabachnikov
Holomorphic Floer theory and the Fueter equation - Aleksander Doan
Non-Orientable Lagrangian Fillings of Legendrian Knots - Joshua Sabloff
Integral Gromov-Witten invariants and complex derived orbifold bordism - Shaoyun Bai
Representations are sheaves' for Legendrian 2-weaves - Kevin Sackel
The Quasimorphism Question - Daniel Anthony Cristofaro-Gardiner
Symplectic geometry of surface group representations - William Goldman
Generic equidistribution of periodic orbits for area-preserving surface diffeomor... - Rohil Prasad
Computing disk potentials via multi-directional sft - Chris Woodward
Poincare duality for loop spaces - Kai Cieliebak
Higher algebra of A-infinity algebras in Morse theory - Thibaut Mazuir
Symplectic capacities of p-products - Pazit Haim-Kislev
Geometry and topology of Hamiltonian Floer complexes in low-dimension - Dustin Connery-Grigg
Legendrian ECH - Julian Chaidez
Beyond semitoric - Susan Tolman
Quantitative Legendrian geometry - Michael Sullivan
Localization and flexibilization in symplectic geometry - Oleg Lazarev
Producing algebraic curves in projective families via Floer theory - Alex Pieloch
Morse-Bott theory on singular analytic spaces and applications to the topology of… - Paul Feehan
Legendrian Torus and Cable Links - Lisa Traynor
ECH of prequantization bundles - Jo Nelson
Lagrangian Cobordisms and Enriched Knot Diagrams - Ipsita Datta
Sections and unirulings of families over the projective line - Alex Pieloch
The smooth closing lemma for area-preserving surface diffeomorphisms - Rohil Prasad
Hofer geometry of coadjoint orbits and Peterson's theorem - Chi Hong Chow
Mirror symmetry from the SYZ base - Benjamin Gammage
Contractibility of the space of tight contact structures on R^3 - Yakov Eliashberg
Results on abundance of global surfaces of section - Umberto Hryniewicz
Tropical Lagrangian sections and Looijenga pairs - Andrew Hanlon
Cabling of knots in overtwisted contact manifolds - Rima Chatterjee
Cylindrical contact homology of links of simple singularities - Leo Digiosia
Convergence and Riemannian bounds on Lagrangian submanifolds - Jean-Philippe Chassé
The homotopy type of the space of tight contact structures and the overtwisted... - Francisco Presas
Degenerations of Kahler forms on K3 surfaces, and some dynamics - Simion Filip
Caustics of Lagrangian homotopy spheres with stably trivial Gauss map - Daniel Alvarez-Gavela
Unexpected fillings, singularities, and plane curve arrangements - Laura Starkston
Capacities from the Chiu-Tamarkin complex - Bingyu Zhang
Wrapped sutured Legendrian homology and the conormal of braids - Côme Dattin
Periodic Floer homology and the large-scale geometry of Hofer's metric on the... - Sobhan Seyfaddini
Intrinsic mirror symmetry and categorical crepant resolutions - Daniel Pomerleano
Non-displaceable Lagrangian links in four-manifolds - Cheuk Yu Mak
3D convex contact forms and the Ruelle invariant - Oliver Edtmair
Floer K-theory and exotic Liouville manifolds - Tim Large
Dehn-Seidel twist, C0 symplectic geometry and barcodes - Alexandre Jannaud
Pseudo-rotations vs. rotations - Başak Gürel
Symplectic implosion - Lisa Jeffrey
Hierarchies of contact manifolds via rational SFT - Zhengyi Zhou
Quantum cohomology as a deformation of symplectic cohomology - Nicolas Sheridan
Examples related to Viterbo's conjectures - Michael Hutchings
(Equivariant) Cohomology of the affine Grassmannian and Ginzburg’s picture - Linyuan Liu
Mirror symmetry for chain type polynomials - Umut Varolgunes
symplectic topology - Lev Buhovsky
Embedding ellipsoids into the one-point blowup of CP^2 - Dusa McDuff
Triangulated persistence categories - Jun Zhang
Fukaya category for Landau-Ginzburg orbifolds and Berglund-Hübsch homological...- Cheol-Hyun Cho
Reeb dynamics in dimension 3 and broken book decompositions - Vincent Colin
Hamiltonian classification and unlinkedness...of Riemann surfaces - Georgios Dimitroglou Rizell
Pontryagin - Thom for orbifold bordism - John Pardon
A bordered approach to link Floer homology - Peter Ozsváth
Infinite staircases and reflexive polygons - Ana Rita Pires
Reeb orbits that force topological entropy - Abror Pirnapasov
Real Lagrangian Tori in toric symplectic manifolds - Joé Brendel
Infinite staircases of symplectic embeddings of ellipsoids into Hirzebruch surfaces - Morgan Weiler
Duality for Rabinowitz-Floer homology - Alex Oancea
Mirrors of curves and their Fukaya categories - Denis Auroux
Quantum footprints of symplectic rigidity - Leonid Polterovich
Birational Calabi-Yau manifolds have the same small quantum products - Mark McLean
Mirror spaces from formal deformation of Lagrangians and their gluing - Hansol Hong
Fukaya categories of Calabi-Yau hypersurfaces - Paul Seidel
Open Quantum Kirwan Map - Guangbo Xu
Higher ribbon graphs - David Nadler
Recent developments in knot contact homology - Lenny Ng
Open Gopakumar-Vafa conjecture for rational elliptic surfaces - Yu-Shen Lin
Morse-Bott cohomology from homological perturbation - Zhengyi Zhou
Weinstein manifolds through skeletal topology- Laura Starkston
Wrapped Fukaya categories and functors - Yuan GaoYuan Gao
Wrapped Floer theory and Homological mirror symmetry for toric Calabi-Yau manifolds - Yoel Groman
String topology coproduct: geometric and algebraic aspects - Manuel Rivera
Floer theory in spaces of stable pairs over Riemann surfaces - Timothy Perutz
Lagrangian Floer theory in symplectic fibrations - Douglas Schultz
Symplectic field theory and codimension-2 stable Hamiltonian submanifolds - Richard Siefring
Contact non-squeezing in ℝ2n×S1R2n×S1 by other means - Maia Fraser
Sheaves and contact non-squeezing in ℝ2n×S1R2n×S1 - Sheng-Fu Chiu
On Zimmer's conjecture - Sebastian Hurtado-Salazar
Continuous covers on symplectic manifolds - François Lalonde
Rigid holomorphic curves are generically super-rigid - Chris Wendl
The stabilized symplectic embedding problem - Dusa McDuff
The many forms of rigidity for symplectic embeddings - Felix Schlenk
The simplification of caustics - Daniel Alvarez-Gavela
Symplectic homology for cobordisms - Alexandru Oancea
C∞C∞ closing lemma for three-dimensional Reeb flows via embedded contact homology - Kei Irie
Relative quantum product and open WDVV equations - Sara Tukachinsky
C0C0 Hamiltonian dynamics and a counterexample to the Arnold conjecture - Sobhan Seyfaddini
Rectification and the Floer complex: quantizing Lagrangians in T∗N - Claude Viterbo
The gauged symplectic sigma-model - Constantin Teleman
Lagrangian Whitney sphere links - Ivan Smith
Length and width of Lagrangian cobordisms - Joshua Sabloff
Monotone Lagrangians in cotangent bundles - Luis Diogo
Derivation of the Vlasov equation - Peter Pickl
Projective Dehn twist via Lagrangian cobordism - Cheuk Yu Mak
Packaging the construction of Kuranishi structure - Kenji Fukaya
A Heegaard Floer analog of algebraic torsion - Cagatay Kutluhan
Symplectic embeddings and infinite staircases - Ana Rita Pires
Subflexible symplectic manifolds - Kyler Siegel
Positive loops—on a question by Eliashberg- Polterovich... - Albers
Spectral invariants for contactomorphisms of prequantization bundles and applications - Zapolsky
Floer theory revisited - Mohammed Abouzaid
Absolute vs. relative Gromov-Witten invariants - Tehrani
Dehn Twists Exact Sequences Through Lagrangian Cobordism - Weiwei Wu