VORTRAG FÄLLT AUS: Equivariant Geometry of Grassmannians.
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SFB-Kolloquium
Mathieu Florence (Paris)
| What |
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| When |
Jan 27, 2011 from 03:15 pm to 04:15 pm |
| Where | Mainz, 05-432 (Hilbertraum) |
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Abstract.
Let k be a field, and A be a finite-dimensional k-algebra, of dimension n. Denote by GL_1(A) the algebraic group of invertible elements of A. For any integer d, GL_1(A) acts on the Grassmannian Gr(d,A) of d-dimensional vector subspaces of A (viewed as a k-vector space). We shall show that, in a sense to be made precise, this action only depends on the gcd of n and d. By twisting, this proves birational results about generalized Severi-Brauer varieties which are close to Amitsur's conjecture.
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