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 (based on Ch.1 – 4)

• 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) C0 symplectic mapping class group and barcodes (based on arXiv:2101.07878) — 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) Symplectic homology: An introduction  —  M. Rothgang 

• Talk 8 (June 25 July 9) Symplectic persistence modules (based on Ch. 9) — S. Faisal 

• Talk 9 (July 16) Topological data analysis — N. Weiss

There are no talks May 28 and June 4 due to conferences.