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Explore derived microlocal geometry and its applications to virtual invariants in this advanced mathematics lecture. Delve into a derived geometric generalization of microlocal sheaf theory, gaining fresh insights into virtual invariants for derived moduli spaces. Discover how this approach leads to a 3-dimensional refinement of the 2-dimensional cohomological Hall algebra developed by Kapranov and Vasserot. Learn about the latest developments in this field, based on forthcoming joint research with Adeel Khan, as presented by Tasuki Kinjo at the Hausdorff Center for Mathematics.
