Back to Algebraic Geometry Seminar: Spring 2017
Algebraic Geometry Seminar
Date: Tuesday, Feb 28, 2017
Time: 3:30PM - 4:30PM
Location: LCB 219
LCB 219 from now on
Fei Xie
UCLA
Title |
Toric varieties over non-closed fields |
Abstract |
Toric varieties over non-closed fields can be viewed as “noncommutative” algebraic varieties. More precisely, in Merkurjev-Panin category of motives (a full subcategory of Tabuada’s category of noncommutative motives), a smooth projective toric variety subject to certain conditions is an “affine object”, i.e, isomorphic to a single (noncommutative) algebra. In particular, any smooth projective toric surface is an “affine object” in this sense. I will introduce toric varieties over non-closed fields, and study some examples in the motivic category. Time permits, I will briefly discuss the relation between the motivic category and noncommutative motives. |
Algebraic Geometry