Building non-positive curved spaces with tropical data

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• Jeff Hicks (Edinburgh)
• Wednesday 30 October 2024, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

To every trivalent tropical curve in an n-dimensional affine manifold with metric, we’ll build a n-dimensional manifold with a locally CAT metric. We’ll then switch gears and talk about a relationship between coherent sheaves on projective space and modules over the free group. At the end we’ll tie both stories together, giving us an algebraic geometric interpretation of a Weinstein-neighborhood of a tropical Lagrangian via the mirror to Viterbo restriction.

This talk is part of the Differential Geometry and Topology Seminar series.

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