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Seminar

HDMP - Weekly Seminar (Part 1): Holomorphic quadratic differentials on graphs September 18, 2019 (11:00 AM PDT - 12:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Wai Yeung Lam (University of Luxembourg)
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In the classical theory, holomorphic quadratic differentials are tied to a wide range of objects, e.g. harmonic functions, minimal surfaces and Teichm├╝ller space. We present a discretization of holomorphic quadratic differentials that preserves such a rich theory. We introduce discrete holomorphic quadratic differentials and discuss their connections to the surface theory and Teichm├╝ller theory. On one hand, holomorphic quadratic differentials are related to discrete minimal surfaces via a Weierstrass representation. On the other hand, they arise from deformations of circle packings on surfaces with complex projective structures.

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