BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Loujean Cobigo (Universität Tübingen) DTSTART:20230505T133000Z DTEND:20230505T143000Z DTSTAMP:20260422T172556Z UID:TGiZ/51 DESCRIPTION:Title: Tr opical spin Hurwitz numbers\nby Loujean Cobigo (Universität Tübingen ) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z\n\n\nAbstract\nCla ssical Hurwitz numbers count the number of branched covers of a fixed targ et curve that exhibit a certain ramification behaviour. It is an enumerati ve problem deeply rooted in mathematical history. \n A modern twist: Spin Hurwitz numbers were introduced by Eskin-Okounkov-Pandharipande for certai n computations in the moduli space of differentials on a Riemann surface.\ n Similarly to Hurwitz numbers they are defined as a weighted count of bra nched coverings of a smooth algebraic curve with fixed degree and branchin g profile. In addition\,\n they include information about the lift of a th eta characteristic of fixed parity on the base curve. \n\nIn this talk we investigate them from a tropical point of view. We start by defining tropi cal spin Hurwitz numbers as result of an algebraic degeneration procedure\ ,\nbut soon notice that these have a natural place in the tropical world a s tropical covers with tropical theta characteristics on source and target curve. \nOur main results are two correspondence theorems stating the equ ality of the tropical spin Hurwitz number with the classical one.\n LOCATION:https://researchseminars.org/talk/TGiZ/51/ END:VEVENT END:VCALENDAR