University of Birmingham > Talks@bham > Geometry and Mathematical Physics seminar > Logarithmic enumerative invariants of maximal tangency

Logarithmic enumerative invariants of maximal tangency

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If you have a question about this talk, please contact Andrea Brini.

Let X be a smooth Fano variety and let D be a smooth anticanonical divisor on it. The curve counts of the title are an algebraic version of counts of holomorphic disks with boundary in a special Lagragian torus fiber near D. The works of Gross-Siebert, Gross-Hacking-Keel, Carl-Pumperla-Siebert and others show the centrality of such counts for mirror symmetry of (X,D). Compared to the maximal boundary case, for D smooth many more open questions remain. After sketching the definition of these counts, I will survey joint work with Graber-Ruddat and Choi-Katz-Takahashi that show how these invariants interact with mirror symmetry.

This talk is part of the Geometry and Mathematical Physics seminar series.

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