Algebra Seminar

09/11/2019 - 2:00pm to 3:00pm
745 POT
Speaker(s) / Presenter(s): 
Dave Jensen, University of Kentucky

Title: Chip Firing and Algebraic Curves

Abstract: The chip firing game is played with poker chips on the vertices of a graph. Though seemingly simple, this game has deep connections to various fields of mathematics. We will discuss one of these connections, to the theory of algebraic curves. We will see that the chip firing is a combinatorial analogue of Brill-Noether theory, the study of divisors on algebraic curves. This observation allows us to prove theorems in algebraic geometry using graph theory, and vice-versa.

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