Co-organizer: Eric Kilgore

Week 1 (Oct 14) Basics on free loop spaces (Ch. 1 in [LO15])

Week 2 (Oct 21) Hochschild homology and loop spaces (Ch. 4, §1-2 in [LO15])

Week 3 (Oct 29) Cyclic homology and loop spaces (Ch. 4, §3-4 in [LO15])

No session due on November 5 to Democracy Day.

Week 5 (Nov 12) Smooth, proper categories and Calabi-Yau structures (§1, §6 in [Gan22]; §2 in [Gan13])

Main reference: arXiv:1904.04044
Co-organizer: Thibaut Mazuir  

Aim: Discuss applications of persistent methods to problems in symplectic / contact geometry and dynamics.

• Week 1 (April 16)  Introduction to persistent homology / barcodes and discussion of topics (based on Ch.1 – 4)

• Week 2 (April 30) Filtered Hamiltonian Floer homology, Hofer’s metric and the dynamical stability theorem  —  W. Zhang 

• Week 3 (May 07) Constraints on pth powers of Hamiltonian diffeomorphisms (based on arXiv:1412.8277) — T. Mazuir 

• Week 4 (May 14) C0 symplectic mapping class group and barcodes (based on arXiv:2101.07878) — M. Guelen

• Week 5 (May 21) Triangulation, Persistence and Fukaya category (based arXiv:2304.01785) — V. Majewski

• Week 8 (June 11) Distinguishing Legendrian knots (based on arXiv:2312.09144) — D. Suchodoll  

• Week 9 (June 18) Symplectic homology: An introduction  —  M. Rothgang 

• Week 12 (June 25 July 9) Symplectic persistence modules (based on Ch. 9) — S. Faisal 

• Talk 13 (July 16) Topological data analysis — N. Weiss

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