WEEKLY ACTIVITIES

Riemann-Roch theorem for graphs, after Baker and Norine (cont.)
Speaker: Prof. Phùng Hồ Hải, Institute of Mathematics

Time: 9h30 Thursday, October,  2, 2014

Location: Room 201, Building A5, Institute of Mathematics, Hanoi, Vietnam

Abstract: Many notions and concepts in the theory of Riemann surfaces have been carried out to the algebraic theory of graphs, for instance the notions of divisors, Picard group, Jacobian, Abel-Jacobi map, Laplacian, harmonic functions... 

A version of Riemann-Roch theorem for graphs has been proved by Baker and Norine. However many other concepts are still to be discovered. 

This talk is to give an introduction to this theory as well as the relationship with the chip-firing game on graphs. We emphasize on the duality principle in algebraic graph theory.  

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