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Learn about symplectic cohomology construction through C*-actions in this mathematics seminar talk from Stony Brook University's Filip Zivanovic. Explore the development of symplectic cohomology for open non-convex symplectic manifolds with pseudo-holomorphic C*-actions, based on collaborative research with Alexander Ritter. Examine how this construction yields a filtration on ordinary cohomology that can be computed explicitly using Morse-Bott-Floer spectral sequences. Study practical applications through concrete examples of ADE resolutions and low-dimensional Higgs bundles, with potential discussion on comparing various filtrations for these spaces.
