Bi-annual Algebraic and Tropical
Meetings of
Brown and YaLE
(BATMOBYLE)
Fall 2016 @ Brown
September 20, 2016
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 (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. |
| 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 |
| 04:00 - 05:00 | Plenary Talk: Nearest Points on Toric Varieties
Bernd Sturmfels (UC Berkeley) |
Room: Kassar 205* |
*All talks will be held in Kassar 205. 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 (UC
Riverside),
Kalina Mincheva (Yale),
and
Sam Payne (Yale).
Previous BATMOBYLEs: Fall 2014, Spring 2015, Fall 2015, Spring 2016
Mirrored site at Brown