Counting open curves via Berkovich geometry
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Seminar
Tony Yue YU (余越) (Paris)
What 


When 
Nov 17, 2016 from 10:30 am to 11:30 am 
Where  Bonn, Hörsaal MPI, Vivatsgasse 7 
Contact Name  Sachinidis 
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Motivated by mirror symmetry, we study the counting of open curves in log CalabiYau 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. These invariants satisfy a list of very nice properties. I will talk about the positivity, the integrality and the gluing formula. If time permits, I will also mention the conjectural wallcrossing formula as well as applications to mirror symmetry.