Involutions on bow varietiesOberseminar Darstellungstheorie

by Prof. Hiraku Nakajima (Tokyo/Kashiwa)

Friday Apr 11, 2025, 2:15 PM → 3:15 PM Europe/Berlin

Endenicher Allee 60, 1.008 - Seminarraum (Mathezentrum)

Bow varieties, introduced by Cherkis, include affine type A quiver varieties, affine Grassmannian slices, and nilpotent orbits closures as special cases. They inherit properties from three ancestors, hence give geometric realizations of representations of affine Yangians, affine Lie algebras and Weyl groups. They have three types of involutions, whose fixed point sets include quiver varieties, affine Grassmannian slices, nilpotent orbits, now for classical groups. (The latter two types of involutions were studied by de Campos Affonso and Finkelberg-Hanany together with myself respectively.) Then I will speculate geometric realizations of various algebras.