Homological Mirror Symmetry - Coulomb Branches and Rozansky-Witten Theory

Explore the intricacies of Rozansky-Witten theory in this comprehensive lecture by Sergei Gukov from the California Institute of Technology. Delve into the rigorous mathematical definition of three-dimensional Rozansky-Witten theory, as developed by Kontsevich and Kapranov, and its connection to the B-model side of homological mirror symmetry. Begin with a gentle introduction suitable for newcomers 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. Gain insights from classical works of the 90s and early 2000s, as well as recent joint research with Hiraku Nakajima, Du Pei, and others. Discover the latest advancements in this field during this 1-hour and 10-minute presentation from the University of Miami.