Back to Departmental Colloquium: Fall 2020
Departmental Colloquium
Date: Thursday, Nov 19, 2020
Time: 4:00PM
Location: JWB 335
Christine Berkesch
University of Minnesota
Title |
Virtual resolutions for smooth toric varieties |
Abstract |
The minimal free resolution of a graded module encodes many geometric properties of the corresponding sheaf on projective space. However, when the ambient space is a product of projective spaces or a more general smooth projective toric variety X, minimal free resolutions over the Cox ring are too long and contain many geometrically superfluous summands. In joint work with Daniel Erman and Gregory G. Smith, we propose considering instead virtual resolutions, which more closely reflect the geometry of sheaves on X. We will survey recent results which build this case. |
Algebraic Geometry
Commutative Algebra
Geometry and Topology