Skip to Content

Sponsors

No results

Keywords

No results

Types

No results

Search Results

Events

No results
Search events using: keywords, sponsors, locations or event type
When / Where
All occurrences of this event have passed.
This listing is displayed for historical purposes.

Presented By: Algebraic Geometry Seminar - Department of Mathematics

Algebraic Geometry Seminar (note special day and location): Ample vector bundles and moduli of tame stacks

Rachel Webb (Cornell)

Ample line bundles on schemes have many equivalent characterizations, but one key feature is that they can be used to embed the base scheme into a projective space. I will present two natural definitions of an ample vector bundle on a stack, not clearly equivalent, one generalizing a cohomological property and the other generalizing the embedding property of ample line bundles. Using the latter, and extending work of Kresch, I will explain how an ample vector bundle on a tame stack induces an embedding into [V^s/GL_r] where V^s is the twisted affine GIT stable locus in some polynomial representation V of GL_r. An application is the construction of moduli of stacks with ample vector bundle and in particular a very general stack of tame stacky curves. This is joint with Daniel Bragg and Martin Olsson.

Explore Similar Events

  •  Loading Similar Events...

Back to Main Content