The Z/p Gysin Sequence in Symplectic Cohomology

Explore the Z/p Gysin sequence in symplectic cohomology in this 49-minute lecture by Debtanu Sen from the University of Southern California, presented at the Western Hemisphere Virtual Symplectic Seminar. Delve into the definition of Z/p-equivariant symplectic cohomology for prime numbers and examine the proof of a Gysin-type long exact sequence connecting S^1 and Z/p equivariant versions. Discover how this sequence is used to affirmatively answer Seidel's conjecture regarding the structure of localized S^1-equivariant symplectic cohomology. Learn about the role of symplectic cohomology as an invariant for exact symplectic manifolds with boundary and its S^1-equivariant refinement. Follow the lecture's progression through introductory concepts, topological sequences, the relationship between theories, construction methods, and Hamiltonians, concluding with a comprehensive summary of the findings.