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Learn about computing integrals over symplectic manifolds with compact group actions in this 2-hour mathematical physics seminar from OpenBITP. Explore the Duistermaat-Heckman theorem, which demonstrates how these integrals reduce to sums over fixed points. Examine simple applications of this theorem before diving into its use for calculating integrals over instanton moduli spaces. The lecture, delivered in Ukrainian by Pavlo Havrylenko from the Bogolyubov Institute for Theoretical Physics, provides a thorough mathematical treatment of localization computation of integrals.
