Timo Richarz: Basics on Affine Grassmanianns скачать в хорошем качестве

Timo Richarz: Basics on Affine Grassmanianns

The aim is to give an introduction to the basic theory of affine Grassmannians and affine flag varieties. We put special emphasis on the utility of dynamic methods in sense of Drinfeld [D], and the utility of non-constant group schemes. We plan to adress the following aspects: • Affine Grassmannians as moduli spaces of G-bundles, and as quotients of loop groups ; • Cell decompositions of affine Grassmannians and affine flag varieties via dynamic methods: Iwahori, Cartan and Iwasawa decompositions ; • Schubert varieties, Demazure resolutions, Convolution morphisms, Combinatorial structures ; • Moduli spaces of G-bundles with level structure versus bundles under non-constant group schemes ; • Beilinson-Drinfeld type deformations of affine Grassmannians ; • Relation to the local geometry of moduli spaces of Drinfeld shtukas and Shimura varieties. Recording during the meeting "Buildings and Affine Grassmannians" the August 26, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: Chapter markers and keywords to watch the parts of your choice in the video Videos enriched with abstracts, bibliographies, Mathematics Subject Classification Multi-criteria search by author, title, tags, mathematical area