Contact: Christian Kaiser
Ever since seminal work of Gromov, Floer, Donaldson, and Fukaya in the late 80s and early 90s, a major theme in symplectic geometry has been the construction of invariants defined in terms of moduli spaces of J-holomorphic curves. In this minicourse, I will explain some of these invariants, and describe how creative use of auxiliary moduli spaces of J-curves can equip these invariants with extra structure. The main reference will be my survey article with Abouzaid, https://arxiv.org/abs/2210.11159 [4] . I will not assume any prior knowledge of symplectic geometry.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/node/2761
[4] https://arxiv.org/abs/2210.11159