Floer homotopy seminar

This page contains materials from the Floer homotopy seminar (September–December 2024). The seminar is over, but the recordings and notes remain available for anyone interested. Organized with Sebastian Haney and Trygve Poppe Oldervoll, it was aimed at PhD students and postdocs in Homotopy Theory and Symplectic/Floer Theory. Topics included infinity categories, spectra, orientability, and applications in symplectic topology, concluding with discussions on stable categories of flow categories. 

Talk 1 - Intro to Floer homotopy; Arye Deutsch - 30.9
video, notes

Talk 2 -  Intro to oo-categories; Shualy Ragimov - 7.10
notes

Talk 3 - Intro to spectra; Alice Hedenlund - 14.10
video, notes

Talk 4 - Thom spectra and orientations; Trygve Poppe Oldervol - 21.10
video, notes

Talk 5 - Finite dimensional approximations; Bogdan Simeonov - 28.10
notes

Talk 6 - Index bundles and framed bordism; Filip Strakoš (Filda) - 4.11
video

Talk 7 - Intro to Flow categories; Jianqiao Shang - 11.11
video

Talk 8 - Cohen Jones Segal;  Arye Deutsch - 18.11
video

Talk 9 - Computations in the homotopy category of flow categories; Jianqiao Shang - 25.11
video

Talk 10 - Global Kuranishi Charts in Gromow witten theory; Guy Dorenstein - 2.12
video

Talk 11 - Infinity category of flow categories; Sebastian - 9.12
video

Talk 12 - Framed flow categories and spectra; Trygve - 16.12
video

Sylabus: