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.