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Join Zoom Meeting:  https://zoom.us/j/94372526417?pwd=BBmWx2jTorOrBsst0WCapkSkUbRfZo.1

Meeting ID: 943 7252 6417

Passcode: 923766

Advisor:  Dr. Renzo Cavalieri

Committee:  Dr. Rick Miranda, Dr. Maria Gillespie, Dr. Sylvia Sara Canetto

Title:  Tropical Tevelev Degrees

Abstract:  Tropical Hurwitz spaces parameterize genus g, degree d covers of the tropical line with fixed branch profiles. Since tropical curves are metric graphs, this gives us a combinatorial way to study Hurwitz spaces. Tevelev degrees are the degrees of a natural finite map from the Hurwitz space to a product M_{0,n} cross M_{g,n}. In 2021, Cela, Pandharipande and Schmitt presented this interpretation of Tevelev degrees in terms of moduli spaces of Hurwitz covers. In this talk we will exhibit combinatorial recursions among well-chosen tropical covers that compute tropical Tevelev degrees.