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Wednesday 23 November 2022, 14:15-15:15
A wall-crossing formula for universal Brill-Noether classes
- đ¤ Speaker: Nicola Pagani, University of Liverpool đ Website
- đ Date & Time: Wednesday 23 November 2022, 14:15 - 15:15
- đ Venue: CMS MR13
Abstract
We will discuss an explicit graph formula, in terms of boundary strata classes, for the wall-crossing of universal (=over the moduli space of stable curves) Brill-Noether classes. More precisely, fix two stability conditions for universal compactified Jacobians that are on different sides of a wall in the stability space. Then we can compare the two universal Brill-Noether classes on the two compactified Jacobians by pulling one of them back along the (rational) identity map. The calculation involves constructing a resolution by means of subsequent blow-ups. If time permits, we will discuss the significance of our formula and potential applications. This is joint with Alex Abreu.
Series This talk is part of the Algebraic Geometry Seminar series.
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