Université Paris Diderot, Paris 7



Counting holomorphic cylinders via non-archimedean geometry


Counting the number of curves in an algebraic variety is a classical topic in algebraic geometry. Inspired by string theory and mirror symmetry, people started to look at not only closed curves, but also discs, cylinders, etc. In this talk, I will begin by presenting several beautiful historic results. Then I will explain how tropical geometry and non-archimedean analytic geometry enter the game of counting. If time permits, I will discuss a particular case of log Calabi–Yau surfaces, and explain its relations to the Kontsevich–Soibelman wall-crossing formula and the Gross–Siebert program.


The Catalan Mathematical Society invites participants to this first congress of a biannual series focusing on current research topics across several areas of Mathematics.

Plenary talks and thematic sessions have been selected by the Scientific Committee of the SCM. Special thanks are due to the organisers of the thematic sessions and to the local mathematical community as a whole for their support to this congress.



Societat Catalana de Matemàtiques
Institut d'Estudis Catalans
Carrer del Carme, 47
08001 Barcelona

Phone: +34 933 248 583

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