08-07【Guillaume Tahar】Flat geometry of Abelian and quadratic differentials (I, II)

发布时间:2023-07-31来源:几何与物理研究中心中文网页浏览次数:85

报告人:Guillaume Tahar(北京雁西湖应用数学研究院)

时间:2023年8月7日 9:00-11:30

地点:第二教学楼 2321


  

In a point of a Riemann surface, local invariants of a meromorphic quadratic differential are the order of the singularity and the quadratic residue (in the case of poles of even order). Drawing on the interpretation in terms of half-translation structures, we introduce a canonical decomposition of the underlying surface into a core and several polar domains. As an application, we will give the list of obstructions to the realization of a configuration of residues by a quadratic differential belonging to a given stratum of differentials with prescribed orders of singularities.