Virtual Workshop on Recent Developments in Geometric Representation Theory

Perverse sheaves on configuration spaces, Hopf algebras and parabolic induction

The problem of classification of perverse sheaves on the quotient $h/W$ for a semisimple Lie algebra $g$ has an explicit answer which turns out to be related to the algebraic properties of induction and restriction operations for parabolic subalgebras in $g$. For $g=gl(n)$ we get a relation between factorizing systems of perverse sheaves on the symmetric products of the complex line and braided Hopf algebras. Joint work with V. Schechtman.

Date & Time

November 20, 2020 | 6:30pm – 7:30pm

Location

Wolfensohn Hall and Remote Access

Affiliation

Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo

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