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Explore a comprehensive lecture on equivariance and its applications in geometric mathematics delivered by Dr. Johan Martens from the University of Edinburgh. Delve into operations in symplectic, algebraic, and hyperkahler geometry that emerge from compact/reductive group symmetry, with particular emphasis on implosion and contraction concepts. Learn about universal versions as primary examples, obtained through operations on groups and cotangent bundles. Discover the interpretation of these concepts within Moore-Tachikawa categories and their connection to symplectic duality. Based on collaborative research with Hilgert, Manon, Dancer, Kirwan, Grimminger, and Zhong, gain insights into cutting-edge developments in algebraic and differential geometry during this 70-minute academic presentation.
