Speaker: Rahul Karki.
Time: Friday, 5 August, 4:30 pm.
Venue: Ramanujan Hall, Mathematics department.
Title: Picard Group and Abel Jacobi Theory on A Finite Graph.
Abstract: A finite graph can be viewed, in many aspects, as a discrete version of a Riemann surface. In this talk, we will see how the notions of the Picard group and Jacobian are defined on a graph and their relations with the chip-firing game on the graph. Later, we will discuss the graph theoretic analog of the Abel-Jacobi map and study some of its properties.