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SUMMARY:A wall-crossing formula for universal Brill-Noether classes - Nico
 la Pagani\, University of Liverpool
DTSTART:20221123T141500Z
DTEND:20221123T151500Z
UID:TALK179057@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:We will discuss an explicit graph formula\, in terms of bounda
 ry strata classes\, for the wall-crossing of universal (=over the moduli s
 pace of stable curves) Brill-Noether classes. More precisely\, fix two sta
 bility conditions for universal compactified Jacobians that are on differe
 nt sides of a wall in the stability space. Then we can compare the two uni
 versal Brill-Noether classes on the two compactified Jacobians by pulling 
 one of them back along the (rational) identity map. The calculation involv
 es constructing a resolution by means of subsequent blow-ups. If time perm
 its\, we will discuss the significance of our formula and potential applic
 ations. This is joint with Alex Abreu.
LOCATION:CMS MR13
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