Affine Grassmannian slices and their quantizations
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date
Thursday, April 29, 2021 14:00 - 16:00
Speaker
Joel Kamnitzer (University of Toronto)
Location
https://mathseminars.org/seminar/AGNTISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tamas Hausel
Contact
Url
Slices in the affine Grassmannian are geometric incarnations of weight spaces of representations of semisimple complex groups. These spaces can also be constructed as Coulomb branches of quiver gauge theories or in type A, as bow varieties. They are related to Nakajima quiver varieties using 3d mirror symmetry, also known as symplectic duality. These spaces are conical symplectic singularities and have natural quantizations using algebras called truncated shifted Yangians. I will survey 10 years of research on these wonderful spaces and describe some remaining open questions.