Bi-annual Algebraic and Tropical Meetings of
Brown and YaLE

Fall 2019 @ Brown
November 15, 2019

The BATMOBYLE is a vehicle for bringing together the algebraic and tropical geometry groups of Brown and neighboring institutions for a biannual day of talks alternating between the participating universities.

Dave Jensen

Dave Jensen

(University of Kentucky)
Linear systems on general curves of fixed gonality

The geometry of an algebraic curve is governed by its linear systems. While many curves exhibit bizarre and pathological linear systems, the general curve does not. This is a consequence of the Brill-Noether theorem, which says that the space of linear systems of given degree and rank on a general curve has dimension equal to its expected dimension. In this talk, we will discuss a generalization of this theorem to general curves of fixed gonality. Our focus will be on an approach using tropical and combinatorial methods, but we will also discuss an independent proof, due to H. Larson. This is joint work with Kaelin Cook-Powell and Dhruv Ranganathan, based on prior work of Nathan Pflueger.

10:30 - 11:00 Coffee and Breakfast
11:00 - 12:00 Contractions of logarithmic curves
Sebastian Bozlee (University of Colorado)
Room: Kassar 205
12:00 - 03:00 Lunch
03:00 - 04:00 Linear systems on general curves of fixed gonality
Dave Jensen (University of Kentucky)
Room: Kassar Foxboro Auditorium
04:00 - 05:00 The motivic zeta function of a matroid
Max Kutler (University of Kentucky)
Room: Kassar Foxboro Auditorium

Parking: All day (paid) parking is available on the upper level of the Power Street Garage.

Dan Abramovich (Brown), Kenny Ascher (MIT), Asher Auel (Dartmouth), Melody Chan (Brown), Yuchen Liu (Yale). Kalina Mincheva (Yale), Nathan Pflueger (Amherst), and Jeremy Usatine (Brown).

Previous BATMOBYLE models:
Fall 2014, Spring 2015, Fall 2015, Spring 2016, Fall 2016, Spring 2017, Fall 2017, Spring 2018, Fall 2018, and Spring 2019.