Ashwin Deopurkar, TIFR Mumbai

Description
Title: Tropical geometry of curves

Abstract: Perhaps surprisingly, the study of degenerate curves plays a
crucial role in our understanding of a general smooth curve. One of the
first successes of this idea was the theory of limit linear series
developed by Griffiths and Harris which they used to prove the
Brill-Noether theorem. The analogous theory for degenerate curves of
non-compact type falls in the realm of tropical geometry where it takes the
shape of metric graphs (or tropical curves) and divisors on them. This
leads to a rich interplay between graph theory and algebraic geometry of
curves. After explaining the central ideas we will discuss some
applications to Brill-Noether theory and curves of large theta
characteristic.
Description
Ramanujan Hall, Department of Mathematics
Date
Mon, October 16, 2017
Start Time
2:30pm IST
Priority
5-Medium
Access
Public
Created by
DEFAULT ADMINISTRATOR
Updated
Sun, October 15, 2017 2:36pm IST