Видеотека: Ivan Arzhantsev, Commutative algebraic monoid structures on affine spaces

ВИДЕОТЕКА


Workshop on birational geometry 30 октября 2018 г. 16:40, Москва, Лаборатория алгебраической геометрии и ее приложений, Национальный исследовательский университет «Высшая школа экономики»

Commutative algebraic monoid structures on affine spaces Ivan Arzhantsev^ab ^a HSE ^b MSU
https://youtu.be/Q5hEy-Ca7hI Аннотация: We study commutative associative polynomial operations $\mathbb{A}^n \times \mathbb{A}^n \rightarrow \mathbb{A}^n$ with unit on the affine space $\mathbb{A}^n$ over an algebraically closed field of characteristic zero. A classification of such operations is obtained up to dimension 3. Several series of operations are constructed in arbitrary dimension. Also we explore a connection between commutative algebraic monoids on affine spaces and additive actions on toric varieties. This is a joint work with Sergey Bragin and Yulia Zaitseva. Язык доклада: английский