Divisors on graphs
Sergey Norin
Dept. of Mathematics, Princeton University, Princeton, USA.
Dept. of Mathematics, Princeton University, Princeton, USA.
2009/01/07 Wed, 3PM-4PM
Finite graphs can be viewed, in many respects, as discrete analogues
of algebraic curves. In this talk, we consider this analogy in the
context of linear equivalence of divisors on a graph. We will state a
graph-theoretic version of the Riemann-Roch theorem, and outline its
proof. Additionally, we will discuss harmonic morphisms between graphs
and connections of our results to tropical geometry. This is joint
work with Matt Baker.
of algebraic curves. In this talk, we consider this analogy in the
context of linear equivalence of divisors on a graph. We will state a
graph-theoretic version of the Riemann-Roch theorem, and outline its
proof. Additionally, we will discuss harmonic morphisms between graphs
and connections of our results to tropical geometry. This is joint
work with Matt Baker.