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Summer 2023

Symplectic Cohomology

Description: This is a reading summer happening this summer 2023 aiming to understand constructions of symplectic cohomology and its classical applications. We will go through Abouzaid's lecture notes [Ab15] first, and then discuss some papers about applications of symplectic cohomology to study symplectic topology problems.

Schedule

DateSpeakerTopics CoveredReferences
Boxi HaoConstruction of Symplectic Cohomologysection 2-6 in chapter 9 of [Ab15].
Si-Yang LiuAlgebraic Structures in Symplectic CohomologyChapter 10 of [Ab15]
A Morse homology model for string topologyChapter 11 of [Ab15]
From Symplectic cohomology to string topologyChapter 12 of [Ab15]

References

  1. [Ab15] Abouzaid, M. (2015). Symplectic cohomology and Viterbo’s theorem, Free loop spaces in geometry and topology, 271–485, IRMA Lect. Math. Theor. Phys, 24.