Academics

Triply Periodic Minimal Surfaces of genus 3

Time:2023-09-19 Tue 14:30-15:30

Venue:Venue: A3-4-301; ZOOM: 928 682 9093(PW: BIMSA)

Organizer:Lynn Heller, Sebastian Heller, Kotaro Kawai

Speaker: Hao Chen Shanghai Tech

Abstract

Triply Periodic Minimal Surfaces (TPMSs) are minimal surfaces in flat 3-tori. I will review recently discovered examples of genus 3, with explicit or implicit Weierstrass data. They are all inspired by physics and material sciences. Minimal surfaces of other types have also been constructed as side products. The techniques may construct more TPMSs of genus 3, which we were numerically aware, and plan to rigorously prove in the near future.

DATESeptember 19, 2023
SHARE
Related News
    • 0

      (Algebraic) Curves and (minimal) Surfaces

      Speaker Intro・ PhD in 2008, Humboldt Universität Berlin, Germany ・ Habilitation in 2014, Universität Tübingen, Germany ・ Researcher at Universities of Heidelberg, Hamburg, Hannover, 2014-2022 ・ Professor at Beijing Institute of Mathematical Sciences and Applications from September 2022 on ・ Research interests: minimal surfaces, harmonic maps, Riemann surfaces, Higgs bundles, moduli spaces,...

    • 1

      Random multicurves on surfaces of large genus and random square-tiled surfaces of large genus

      AbstractIt is common in mathematics to study decompositions of compound objects into primitive blocks. For example, the Erdos-Kac Theorem describes the decomposition of a random large integer number into prime factors. There are theorems describing the decomposition of a random permutation of a large number of elements into disjoint cycles.I will present our formula for the asymptotic count of ...