Bi-annual Algebraic and Tropical Meetings of
Brown and YaLE

Fall 2016 @ Brown
September 20, 2016

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

Bernd Sturmfels

Bernd Sturmfels

(UC Berkeley)
Nearest Points on Toric Varieties

Abstract: This talk concerns the following optimization problem: given a data point, find its best approximation in a model that is parametrized by monomials. This algebraic complexity of this problem is given by the Euclidean distance degree of a projective toric variety. We present a formula for this degree. It extends the formula of Matsui and Takeuchi for the degree of the A-discriminant in terms of Euler obstructions. The motivation for this work is the development of our optimization problem. A key ingredient is the study of characteristic classes such as the Chern-Mather class. This is joint work with Martin Helmer.

10:00 - 11:00 Coffee and BreakfastCommon Room (102)
11:00 - 12:00 Tropical curves of genus 2
Ralph Morrison (Williams)
Room: Kassar 205*
12:00 - 02:00 Lunch
02:00 - 03:00 Derived category of moduli spaces of pointed stable rational curves
Ana-Maria Castravet (Northeastern)
Room: Kassar 205*
03:00 - 04:00 Tea Common room (102)
04:00 - 05:00 Plenary Talk: Nearest Points on Toric Varieties
Bernd Sturmfels (UC Berkeley)
Room: Kassar 105*

*The first two talks will be held in Kassar 205. The plenary talk in Kassar 105. Kassar House is located on the corners of George Street and Thayer Street. Please use the Thayer street entrance-- the math department is on the left side of the annex.

Brown Organizers:
Dan Abramovich (Brown), Kenny Ascher (Brown), Melody Chan (Brown), Brendan Hassett (Brown), and Nathan Pflueger (Brown).

Yale Organizers:
Asher Auel (Yale), Angie Cueto (Ohio State), José González (Yale), and Sam Payne (Yale).

Previous BATMOBYLEs: Fall 2014, Spring 2015, Fall 2015, Spring 2016