# Seminars & Colloquia Calendar

## The geometry of domains with negatively pinched Kaehler metrics

#### Andrew Zimmer, Louisiana State University, Baton Rouge

Location: ** Hill 705**

Date & time: Friday, 15 March 2019 at 10:30AM - 11:30AM

** Abstract.** Every bounded pseudoconvex domain in C

*n*Cn has a natural complete metric: the Kaehler-Einstein metric constructed by Cheng-Yau. When the boundary of the domain is strongly pseudoconvex, Cheng-Yau showed that the holomorphic sectional curvature of this metric is asymptotically a negative constant. In this talk I will describe some converses to this result, including the following: if a smoothly bounded convex domain has a complete Kaehler metric with close to constant negative holomorphic sectional curvature near the boundary, then the domain is strongly pseudoconvex.

This is joint work with F. Bracci and H. Gaussier.

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Robert Dougherty-Bliss and Doron Zeilberger --> homepage

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Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

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Quentin Dubroff Organizer's webpage

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Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage

Organizer: Luochen Zhao

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Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis Organizer's Webpage

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

Stephen D. Miller

Brooke Ogrodnik, Website

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

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