Mirror Symmetry for the Grassmannian and Its Schubert Varieties

Explore an advanced mathematics lecture from Harvard University's Lauren Williams that delves into mirror symmetry for Grassmannians and Schubert varieties. Learn about the development of a novel superpotential for Grassmannian Schubert varieties, which extends the Marsh-Rietsch superpotential concept. Discover how this work with Konstanze Rietsch demonstrates the governance of toric degenerations and establishes a polytopal mirror theorem for Schubert varieties. Examine the construction of Newton-Okounkov convex bodies for any cluster seed, their relationship with superpotential polytopes, and their connection to quantum cohomology through lattice points. Gain insights into this complex mathematical topic that bridges mirror symmetry, algebraic geometry, and combinatorics, presented as part of the Workshop on Combinatorics of Enumerative Geometry at the Institute for Advanced Study.