MS Seminar (Mathematics - String Theory)

Speaker: Tony Yue YU (Institut de Mathématiques de Jussieu - Paris Rive Gauche)
Title: Counting open curves via closed curves
Date: Tue, Mar 01, 2016, 13:15 - 14:45
Place: Seminar Room A
Abstract: Motivated by mirror symmetry, we will study the counting of open curves in log Calabi-Yau surfaces. Although we start with a complex surface, the counting is achieved by applying methods from Berkovich geometry. The idea is to relate the counting of open curves to special types of closed curves. This gives rise to new geometric invariants inaccessible by classical methods. If time permits, I will present an explicit calculation of these invariants for a cubique surface. The results verify the Kontsevich-Soibelman wall-crossing formula for a focus-focus singularity.