College of Liberal Arts & Sciences

# Differential Geometry Seminar

Speaker:

Xuwen Zhu, Northeastern University

Topic:

Constant curvature conical metrics

**Abstract: **

The problem of finding and classifying constant curvature metrics with conical singularities has a long history bringing together several different areas of mathematics. This talk will focus on the particularly difficult spherical case where many new phenomena appear. When some of the cone angles are bigger than $2\pi$, uniqueness fails and existence is not guaranteed; smooth deformation is not always possible and the moduli space is expected to have singular strata. I will give a survey of several recent results regarding this singular uniformization problem, connecting microlocal techniques with complex analysis and synthetic geometry. Based on joint works with Rafe Mazzeo, Bin Xu, and Mikhail Karpukhin.

Event Date:

March 2, 2021 - 10:30am to 11:20am

Location:

Online

Calendar Category:

Seminar

Seminar Category:

Differential Geometry