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"
Organisé par
Section de mathématiquesIntervenant-e-s
Andrey Krutov, CAS Pragueentrée libre
Classement
Catégorie: Séminaire
Mots clés: Lie groups, Groupes de Lie, noncommutative geometry, quantum spaces