HOẠT ĐỘNG TRONG TUẦN

Riemann-Roch theorem for graphs, after Baker and Norine
Người báo cáo: Giáo sư Phùng Hồ Hải

Thời gian: 9h30 Thứ 5, 25/9/2014

Địa điểm: Phòng 201, Nhà A5, Viện Toán học, 18 Hoàng Quốc Việt, Cầu Giấy Hà Nội

Tóm tắt: 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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