|DATE||December 14 (Tue), 2021|
|INSTITUTE||Institut Fourier, Universite Grenoble Alpes|
|TITLE||Actions and representations of algebraic group|
|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 1: Actions and representations of algebraic groups, December 14 (Tuesday) 19:00-21:00 (KST, GMT +9)
- Overview; basic notions and results on actions and representations of algebraic groups; toric varieties.
Meeting ID: 290 623 8932