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Explore the intricacies of three-dimensional Rozansky-Witten theory in this advanced lecture by Sergei Gukov from the California Institute of Technology. Delve into the rigorous mathematical definition provided by Kontsevich and Kapranov, and examine its connections to the B-model side of homological mirror symmetry. Begin with a gentle introduction suitable for those new to the subject, then progress to modern developments involving non-compact and infinite-dimensional target spaces, such as the cotangent bundle of the affine Grassmannian. Discover insights from classical works of the 90s and early 2000s, as well as recent joint research with Hiraku Nakajima, Du Pei, and others. Gain a deeper understanding of Coulomb branches and their relationship to Rozansky-Witten theory in this hour-long, cutting-edge presentation.
