数学科学研究所
Insitute of Mathematical Science

Seminar: Cone spherical metrics and oriented metric ribbon graphs of Jenkins-Strebel one forms

Seminar | Institute of Mathematical Sciences

Time:10:00-11:00, April 26, Friday

LocationRoom 302,  Library


Speaker: Bo Li, USTC


AbstractCone spherical metrics are conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces. The angle condition for the existence of a class of cone spherical metrics, called reducible metrics, is related to Jenkins-Strebel 1-forms. By drawing the oriented metric ribbon graphs, we give a necessary and sufficient condition to the existence of Jenkins-Strebel/Strebel 1-forms with prescribed residues and multiplicities of zeros. The dimension of the moduli space of Strebel 1-forms is also given.

  

  




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