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Lionel Lang: Monodromy of rational curves in toric surfaces

Time: Tue 2019-06-04 13.15

Location: Room 32, House 5, Kräftriket campus, Stockholm University

Lecturer: Lionel Lang (SU)

ABSTRACT: Consider the space U of irreducible nodal rational curves in a given linear system on a toric surface. Loops in U induce permutations on the set of nodes of a references curve. In this talk, we will see how we can determine all possible permutation, that is we will compute the image of the associated monodromy map. The computations are very explicit and geometric and involve simple Harnack curves, amoebas and some combinatorics. The talk is intended for a broad audience.

Belongs to: Department of Mathematics
Last changed: May 31, 2019