BPS (Bogomol’nyi–Prasad–Sommerfield) States, Torus Links, and Wild Character Varieties (Tony Pantev)

Ciencias TVMié, diciembre 27, 2017 7:40pmURL:
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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

Foto de miniatura del video
https://photos.app.goo.gl/0dpxh2SDsIcEs8zx1

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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