A wall-crossing formula for universal Brill-Noether classes

Add to your list(s) Download to your calendar using vCal

• Nicola Pagani, University of Liverpool
• Wednesday 23 November 2022, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Dhruv Ranganathan.

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.

This talk is part of the Algebraic Geometry Seminar series.

This talk is included in these lists:

• Algebraic Geometry Seminar
• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• CMS MR13
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.