Positivity of Vector Bundles Phillip Griffiths

Positivity of Vector Bundles

Plática dada por Phillip Griffiths (Institute for Advanced Study, Princeton, USA) en el evento Algebraic Geometry in Mexico 2017 el miércoles 27 noviembre del 2017 en Oaxaca, México.

Abstract:
I will explain a physics framework for understanding recent results and conjectures on the topology of wildly ramified character varieties. Various string dualities and constructions lead to a new generalization of the formula of Hausel, Mereb, and Wong and also provide a colored version of the theorem of Shende, Treumann,
Williams, and Zaslow relating the topology of wild character varieties to knot and link invariants. The main mathematical tool is a spectral cover correspondence for irregular Higgs bundles. This is based on recent joint works with Diaconescu, and Donagi

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