# Mathematics Colloquia and Seminars

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### Self-Dual Hitchin Systems from Theories of Class S

**QMAP Seminar**

Speaker: | Richard Derryberry, UT Austin |

Related Webpage: | www.ma.utexas.edu/users/rhughes |

Location: | 2112 MSB |

Start time: | Fri, Oct 6 2017, 1:30PM |

The Seiberg-Witten integrable system associated to a 4d N=2 supersymmetric quantum field theory describes the 3d Coulomb branch as an algebraically completely integrable system over the 4d Coulomb branch. One less studied (though certainly not unknown) aspect of these spaces is that they can often be interpreted as ``self mirror dual’’. In this talk I will discuss the self-dual spaces that occur as the Coulomb branches for theories of class S, which are given by a self-dual version of the Hitchin fibration. More generally I will identify the mirrors to a class of quotients of the moduli of Higgs bundles by a finite group, for which the existence of self-dual spaces will be a corollary.