Algebra Seminar

10/02/2019 - 2:00pm to 3:00pm
745 POT
Speaker(s) / Presenter(s): 
Angela Hanson, University of Kentucky

Title: Tropicalization of the Max Noether Theorem

Abstract: The classical Max Noether Theorem determines the number of quadrics containing a canonical curve by examining the map from Sym^2 L(K_X) to L(2K_X). With tropical geometry, the algebraic geometry in this theorem can be translated into a problem in combinatorics. This tropicalization leads to a proof using metric graphs to prove the same result for algebraic curves with trivalent, three-edge-connected skeletons.

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