BPS (Bogomol’nyi–Prasad–Sommerfield) States, Torus Links, and Wild Character Varieties
Plática dada por Tony Pantev (University of Pennsylvania, 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
Video de la plática
https://youtu.be/E-SBL1xqJ3Q
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Tony Pantev en:
University of Pennsylvania
https://www.math.upenn.edu/people/tony-pantev
https://www.math.upenn.edu/~tpantev/
https://schms.math.berkeley.edu/our-team/
ResearchGate
https://www.researchgate.net/profile/Tony_Pantev
arXiv
https://arxiv.org/a/pantev_t_1.html
Mathematics Genealogy Project
http://genealogy.math.uni-bielefeld.de/id.php?id=23078
nLab
https://ncatlab.org/nlab/show/Tony+Pantev
Mathoverflow
https://mathoverflow.net/users/439/tony-pantev
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