UC San Diego Geometry Seminar 2022-2023

Unless otherwise noted, all seminars are on Thursday 11:00 - 12:00 in Zoom setting or in person at APM 7321. Zoom ID: 953 0943 3365 and after 11/03 910 6959 2533
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Fall 2022 Schedule

October 6, 2022

Novack, Michael, UT Austin
Title:A mesoscale flatness criterion and its application to exterior isoperimetry
Abstract: We introduce a "mesoscale flatness criterion" for hypersurfaces with bounded mean curvature, discussing its relation to and differences with classical blow-up and blow-down theorems, and then we exploit this tool for a complete resolution of relative isoperimetric sets with large volume in the exterior of a compact obstacle. This is joint work with Francesco Maggi (UT Austin).

October 13 , 2022

Xiaolong Li, Wichita, via zoom
Title:The Curvature Operator of the Second Kind
Abstract:I will first give an introduction to the notion of the curvature operator of the second kind and review some known results, including the proof of Nishikawa's conjecture stating that a closed Riemannian manifold with positive (resp. nonnegative) curvature operator of the second is diffeomorphic to a spherical space form (resp. a Riemannian locally symmetric space). Then I will talk about my recent works on the curvature operator of the second kind on Kahler manifolds and product manifolds. Along the way, I will mention some interesting questions and conjectures.

October 13 , 2022

Colloquium at 4:00pm APM 6402, Jeff Viaclovskiy, UCI
Title: Gravitational instantons and algebraic surfaces
Abstract: ABSTRACT: Geometers are interested in the problem of finding a "best" metric on a manifold. In dimension 2, the best metric is usually one which possesses the most symmetries, such as the round metric on a sphere, or a flat metric on a torus. In higher dimensions, there are many more classes of geometrically interesting metrics. I will give a general overview of a certain class of Einstein metrics in dimension 4 which have special holonomy, and which are known as "gravitational instantons." I will then discuss certain aspects of their classification and connections with algebraic surfaces.

October 20, 2022, Special time: 4--5pm at Zoom:

Xiaohua Zhu, Peking U
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October 21-22 , 2022

Work shop on complex geometry, 5-9pm
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October 27, 2020

Alessandro Pigati, NYU
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November 3, 2022


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November 10, 2022

Antoine Song, UCB
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November 17, 2022

Yury Ustinovskiy, Lehigh
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December 1, 2022

Li-Sheng Tseng, UCI
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Spring 2022 Schedule

Questions: lni@math.ucsd.edu