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Seminar

MLA - Regular Seminar: Spectral properties of reducible spherical conical metrics September 12, 2019 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Xuwen Zhu (University of California, Berkeley)
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The study of spherical metrics with conical singularities have seen a lot of recent development and yet there are still a lot of open problems. We will focus on a special class called spherical conical metrics with reducible monodromy. Each of such metrics is canonically associated with a meromorphic one-form, and there is also a connection with translation surfaces. This talk will focus on the recent work, joint with Bin Xu, on the spectral properties of such metrics. We obtain a spectral characterization of the monodromy property, which establishes a new connection between the geometric microlocal analysis which is about the study of singular operators, and the classical complex analysis approach that uses the developing maps.

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