Counting open curves via Berkovich geometry |
Abstract: Motivated by mirror symmetry, we 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 (non-archimedean analytic geometry). This gives rise to new geometric invariants inaccessible by classical methods. These invariants satisfy a list of very nice properties and can be computed explicitly. If time permits, I will mention the conjectural wall-crossing formula, relations with the works of Gross-Hacking-Keel and applications towards mirror symmetry. |
Web page: Alexandru I. Suciu | Comments to: i.loseu@neu.edu | |
Posted: February 24, 2017 | URL: http://www.northeastern.edu/iloseu/bhmn/yu17.html |