Beilinson–Drinfeld Schubert varieties and global Demazure modules

Ilya Dumanski; Evgeny Feigin; Michael Finkelberg

doi:10.1017/fms.2021.36

Forum of Mathematics, Sigma (Jan 2021)

Beilinson–Drinfeld Schubert varieties and global Demazure modules

Ilya Dumanski,
Evgeny Feigin,
Michael Finkelberg

Affiliations

Ilya Dumanski: Department of Mathematics, HSE University, Usacheva str. 6, Moscow, 119048, Russia Independent University of Moscow, Bolshoy Vlasyevskiy Pereulok 11, Moscow, 119002, Russia; E-mail:
Evgeny Feigin: Department of Mathematics, HSE University, Usacheva str. 6, Moscow, 119048, Russia Skolkovo Institute of Science and Technology, Skolkovo Innovation Center, Building 3, Moscow, 143026, Russia; E-mail:
Michael Finkelberg: Department of Mathematics, HSE University, Russia, Usacheva str. 6, Moscow, 119048, Russia Skolkovo Institute of Science and Technology, Skolkovo Innovation Center, Building 3, Moscow, 143026, Russia Institute for Information Transmission Problems of RAS, Moscow, Russia; E-mail:

DOI: https://doi.org/10.1017/fms.2021.36
Journal volume & issue: Vol. 9

Abstract

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We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.

14M15
17B67

Published in Forum of Mathematics, Sigma

ISSN: 2050-5094 (Online)
Publisher: Cambridge University Press
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.cambridge.org/core/journals/forum-of-mathematics-sigma

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