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The Z/p Gysin Sequence in Symplectic Cohomology

Offered By: Western Hemisphere Virtual Symplectic Seminar via YouTube

Tags

Algebraic Topology Courses Hamiltonian Systems Courses Symplectic Manifolds Courses

Course Description

Overview

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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.

Syllabus

Introduction
chain of change
topological is in sequence
relationship between two theories
using sequence
construction
Hamiltonians
Summary


Taught by

Western Hemisphere Virtual Symplectic Seminar

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