`Syzygies, Tropical Geometry and Algebraic Curves'

by Prof. Madhusudan Manjunath (IIT, Mumbai)

Thursday, March 8, 2018 from 16:00 to 17:00 (Asia/Kolkata)
at TIFR, Mumbai ( AG-69 )

Description

Abstract:
The Riemann-Roch theorem is fundamental to algebraic geometry.
In 2006, Baker and Norine discovered an analogue of the Riemann-Roch
 theorem for graphs. In fact, this theorem is not a mere analogue but has
concrete relations with its algebro-geometric counterpart. Since its
 conception this topic has been explored in different directions, two
significant directions are i. Connections to topics in discrete geometry
 and commutative algebra ii. As a tool to studying linear series on
algebraic curves. We will provide a glimpse of these developments. This
talk is based on joint work with i. Omid Amini, ii. Bernd Sturmfels, iii.
Frank-Olaf Schreyer and John Wilmes.