Noncommutative differential geometry of the quantum Grassmannians

04.04.2023 15:15 – 17:00

Noncommutative geometry is, in general, more tractable on quantum homogeneous spaces than on quantum groups themselves. Some of the best-behaved examples are the irreducible quantum flag manifolds. We will review recent results about noncommutative (complex) differential geometry of the irreducible quantum flag manifolds. The main example here will be the quantum Grassmannians. In particular, in the talk we will discuss noncommutative generalisation of the following notions from the classical complex differential geometry: complex structures, holomorphic homogeneous line bundles, Hodge structures, Fano structures, and Schubert calculus.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre