BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marvin Hahn (Sorbonne) DTSTART:20220120T100000Z DTEND:20220120T110000Z DTSTAMP:20260423T005806Z UID:notts_ag/89 DESCRIPTION:Title: The tropical geometry of monotone Hurwitz numbers\nby Marvin Hahn (S orbonne) as part of Online Nottingham algebraic geometry seminar\n\n\nAbst ract\nHurwitz numbers are important enumerative invariants in algebraic ge ometry. They count branched maps between Riemann surfaces. Equivalently\, they enumerate factorizations in the symmetric group. Hurwitz numbers were introduced in the 1890s by Adolf Hurwitz and became central objects of en umerative algebraic geometry in the 1990s through close connections with t he so-called Gromov-Witten theory. This interplay between Hurwitz and Grom ov-Witten theory is an active field of research and led to\, among other t hings\, the celebrated ELSV formula. In the last decade\, many variants of Hurwitz numbers have been introduced and studied. In particular\, the que stion of connections between these variants of Hurwitz numbers and Gromov- Witten theory is of great interest. So-called monotone Hurwitz numbers \, which originate from the theory of random matrices\, are among the most st udied variants of Hurwitz numbers. This talk is a progress report of our l arger program in which we study the connections between monotone Hurwitz n umbers and Gromov-Witten theory by combinatorial methods of tropical geome try\, and whose long-term goal is a proof of the still open conjecture of an ELSV - type formula for double monotone Hurwitz numbers. The talk is ba sed in part on joint work with Reinier Kramer and Danilo Lewanski.\n LOCATION:https://researchseminars.org/talk/notts_ag/89/ END:VEVENT END:VCALENDAR