The proposed discussion meeting is aimed at enthusing faculty, students, and postdocs to study and explore this existing and exciting area of research.
Those who want to present their work in this meeting, are requested to share the abstract and article while filling up the form.
There is no application fees for the program.
SNU will provide local hospitality to all in-campus participants.
E certificate will be provided to all participants.
The theme of the discussion meeting is Zero mean curvature surfaces in the Lorentz Minkowski space and related areas. Some keywords related to the theme are maxface- minface, AdS space, Weierstrass-Enneper representation, Bjorling formula etc, and all talks from invited speakers will assume these basics. For e.g. below we are sharing the abstract of one of the speakers Masashi Yasumoto-
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Abstract:
In the smooth case, spacelike maximal surfaces (spacelike surfaces with vanishing mean curvature) and timelike minimal surfaces (timelike surfaces with vanishing mean curvature) admit Weierstrass-type representations in terms of certain holomorphicity. These representations for smooth surfaces are powerful tools for constructing surfaces and analyzing their behaviors. For the same reason, Weierstrass-type representations for discrete surfaces are important both for exploring the discrete surface theory itself and for expanding our knowledge of the behaviors of discrete surfaces.
In this talk, we mainly focus on zero mean curvature surfaces in Lorentz-Minkowski 3-space. We introduce Weierstrass-type representations for discrete zero mean curvature surfaces in Lorentz-Minkowski 3-space and analyze their behaviors. In the smooth case, spacelike maximal and timelike minimal surfaces generally have singularities, so it is expected that configurations of singularities also appear in the discrete case. We introduce our analysis of their singularities. If time allows, we introduce further development in this direction (joint work with Mason Pember and Denis Polly)
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The above abstract gives an idea about the keywords etc. To get the best out of this workshop, before the expert talks, we suggest all registered participants should go through the basics material (for eg, to start with, we have written an easy expository that can be downloaded from here). You may consult other articles as one of the articles by Umehara and Yamada that can be downloaded from https://arxiv.org/abs/math/0307309