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Explore a rigorous approach to defining Morse homology of the complex Chern-Simons functional in this 56-minute lecture by Pavel Safronov from the University of Edinburgh. Delve into the analysis of the finite-dimensional critical locus within an infinite-dimensional space of connections using derived geometry techniques. Discover the connections between this Morse homology and various mathematical concepts, including 4D supersymmetric gauge theories, skein modules, and Donaldson-Thomas invariants. Learn about ongoing joint research with Sam Gunningham and Florian Naef, focusing on cohomological Donaldson-Thomas invariants of 3-manifolds.
