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 $\infty$-categories, spectra, orientability, and applications in symplectic topology, concluding with discussions on stable categories of flow categories.

Talks & Materials

• Talk 1 - Intro to Floer homotopy; Arye Deutsch - 30.9
  Video, Notes

• Talk 2 - Intro to $\infty$-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 Oldervoll - 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 Gromov-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

Syllabus

Download Syllabus