# Seminars & Colloquia Calendar

## Hitchin connection on Teichmueller curves and quantum pseudo-Anosovs

#### Shehryar Sikander ICTP

Location: ** Serin E371**

Date & time: Thursday, 09 May 2019 at 1:00PM - 2:00PM

Implicit in the construction of the Witten-Reshetikin-Turaev TQFT are quantum representations of mapping class groups of genus g surfaces. Geometrically, these representations are given by the monodromy of the Hitchin connection on the moduli space of curves. Teichmueller curves are totally geodesic algebraic curves contained in the moduli space of curves. We study the restriction of the Hitchin connection to these curves. This has two

advantages: The monodromy computation of the restricted connection is much easier as we are on a curve and the totally geodesic property implies that this monodromy contains quantum representations of infinitely many pseudo-Anosov elements. We will present an explicit computation of the monodromy of the Hitchin connection restricted to a particular Teichmueller curve contained in the moduli space of genus two curves.

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Joel Lebowitz, Michael Kiessling

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Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Brooke Ogrodnik, Website

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Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Fioralba Cakoni Seminar webpage

Ebru Toprak, Organizer

Organizer's webpage: Organizer's webpage

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