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FIELD Mathematics
DATE December 15 (Wed), 2021
TIME 16:00-18:00
PLACE Online
SPEAKER Brion, Michel
HOST Park, Kyeong-Dong
INSTITUTE Institut Fourier, Universite Grenoble Alpes
TITLE Properties and examples of spherical varieties
ABSTRACT Spherical varieties form a remarkable class of algebraic varieties equipped with an action of an algebraic group, which contains several classes of interest: toric varieties, projective homogeneous varieties, symmetric spaces, wonderful varieties. Toric varieties are classified by fans, which provide a well-developed dictionary between their geometry and combinatorics. This makes toric varieties an excellent testing ground for algebro-geometric questions, even if they form a very special class. Spherical varieties are much more general, and include many examples from classical projective geometry. They also admit a combinatorial classification, whose relation to geometry is less understood. The lectures will present basic results on spherical varieties, together with the relevant background on the structure, actions and representations of algebraic groups. They will conclude with open questions.

Lecture 2: Properties and examples of spherical varieties, December 15 (Wednesday) 16:00-18:00 (KST, GMT +9)
- Further background on the structure and representations of linear algebraic groups; projective homogeneous varieties; spherical varieties: definition, first properties, local structure.

Meeting ID: 290 623 8932
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