Teaching & Seminars
2024 Summer Term (April – July)
Graduate Student Seminar on "Topological Persistence in Symplectic Geometry"
Tuesdays 11am, Room 1.315 (Johann-von-Neumann-Haus)
News: Looking for a speaker for talk 9. Scheduling order of the talks 7 to 11 may still be subject to change.
Main reference: arXiv:1904.04044
Co-organizer: Thibaut Mazuir
Aim: Discuss applications of persistent methods to problems in symplectic / contact geometry and dynamics.
Talk 1 (April 16) Introduction to persistent homology / barcodes and discussion of topics
Talk 2 (April 30) Filtered Hamiltonian Floer homology, Hofer’s metric and the dynamical stability theorem — W. Zhang
Talk 3 (May 07) Constraints on pth powers of Hamiltonian diffeomorphisms (based on arXiv:1412.8277) — T. Mazuir
Talk 4 (May 14) Bounds on the spectral norm and Lagrangian Hofer metric (based on arXiv:1810.09865 and arXiv:2304.05628) — M. Guelen
Talk 5 (May 21) Triangulation, Persistence and Fukaya category (based arXiv:2304.01785) — V. Majewski
Talk 6 (June 11) Distinguishing Legendrian knots (based on arXiv:2312.09144) — D. Suchodoll
Talk 7 (June 18) tba. —
Talk 8 (June 25) Symplectic persistent modules — S. Faisal
Talk 9 (July 2) Legendrian persistence modules and dynamics (based on arXiv:2101.03760) —
Talk 10 (July 9) tba. — N. Weiss
Talk 11 (July 16) tba. — S. Faisal
A more detailed plan is to be found here.
Remark: There will be no talks on April 23, May 28 and June 4.