Symplectic Dynamics and Geometry Seminar

Explore advanced topics in symplectic geometry and dynamics through this comprehensive seminar series from the Institute for Advanced Study. Delve into cutting-edge research presentations covering diverse areas including Jordan loop geometry, sub-Riemannian geometry, surface quasigeostrophic equations, symplectic topology, integrable systems, and contact homology. Learn about inscribing rectangles in Jordan loops, spectrum analysis in 4D quasi-contact cases, symplectic embeddings and billiards, embedded curve counting in 6-manifolds, and Khovanov homology classifications. Examine the packing and squeezing of Lagrangian tori, immersed Lagrangian fillings of Legendrian submanifolds, cylindrical contact homology, and the connections between Floer cohomology and arc spaces. Gain insights from leading researchers presenting their latest findings in local rigidity, C^0 symplectic and contact topology, and other specialized areas of modern geometric analysis and mathematical physics.

Syllabus

Inscribing Rectangles in Jordan Loops - Rich Schwartz
Spectrum and abnormals in sub-Riemannian geometry: the 4D quasi-contact case - Nikhil Savale
The Surface Quasigeostrophic equation on the sphere -Angel Martinez Martinez
Local rigidity and C^0 symplectic and contact topology - Mike Usher
Symplectic embeddings, integrable systems and billiards - Vinicius Ramos
Counting embedded curves in symplectic 6-manifolds - Aleksander Doan
Classification of n-component links with Khovanov homology of rank 2^n - Boyu Zhang
Packing and squeezing Lagrangian tori - Richard Hind
The Geography of Immersed Lagrangian Fillings of Legendrian Submanifolds - Lisa Traynor
Reflections on Cylindrical Contact Homology - Jo Nelson
Floer Cohomology and Arc Spaces - Mark McLean