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This lecture from the Special Year Seminar II features Anders Buch from Rutgers University discussing "Equivariant Rigidity of Richardson Varieties." Explore how Schubert or Richardson varieties in flag manifolds possess equivariant rigidity and convexity properties, meaning they are uniquely determined by their equivariant cohomology class and contain any torus-stable subvariety whose fixed points belong to them. Learn how these properties apply to prove that two-pointed curve neighborhoods representing quantum cohomology products with Seidel classes are explicitly determined Schubert varieties, and understand the Seidel multiplication formula in equivariant quantum K-theory of cominuscule flag varieties. The presentation represents joint work with Pierre-Emmanuel Chaput and Nicolas Perrin, scheduled for May 01, 2025, at the Institute for Advanced Study.
