University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Ribbon Graphs and Mirror Symmetry

Ribbon Graphs and Mirror Symmetry

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Mustapha Amrani.

Moduli Spaces

Beginning with a ribbon graph with some extra structure, I will define a dg category, the “constructible plumbing model,” which serves as a stand-in for the Fukaya category of the Riemann surface associated to the ribbon graph. When the graph has a combinatorial version of a torus fibration with section, I will define a one-dimensional algebraic curve, and prove that the dg category of vector bundles on the curve is equivalent to the constructible plumbing model, a version of homological mirror symmetry in one-dimension. I will also discuss the higher-dimensional case.

This talk is based on joint work with Nicolo’ Sibilla and David Treumann.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity