Dept Banner
Dept Banner

Calendar

Download as iCal file

Complex Analysis and Geometry Seminar

"Hyperbolicity of some moduli spaces of polarized manifolds"

Location: 
Date & time: Friday, 31 March 2017 at 2:00PM -

 

Sai-Kee Yeung, Purdue University

"Hyperbolicity of some moduli spaces of polarized manifolds"

Time: 2:00 PM
Location: Hill 705
Abstract: In this talk, we would explain some joint work with Wing-Keung To on hyperbolicity of moduli spaces of polarized algebraic manifolds, including families or moduli spaces of Kaehler-Einstein manifolds of negative scalar curvature or trivial scalar curvature, and some log-general type manifolds for quasi-projective versions. Classically, results on moduli space of Riemann surfaces of genus at least two have been obtained by Ahlfors, Royden and Wolpert with Weil-Petersson metric. Study of moduli of higher dimensional manifolds in terms of Weil-Petersson metrics began with a work of Siu thirty years ago. Eventually, we construct a negatively curved Finsler metric on such moduli from which results in hyperbolicity follow naturally. We also apply the related techniques to study questions related to a conjecture of Viehweg.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530