# Varieties and normalization of integrable (partially) analytic differential systems

Date:
07.03.16
Times:
15:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Xiang Zhang
University:
Shanghai Jiaotong University

#### Abstract:

In this talk we introduc our recent works on varieties and analytic normalizations. For local analytic differential systems defined in a neighborhood of an isolated singularity, we first study the varieties of their integrability and of partial integrability in a neighborhood of this singularity. Second, we prove the existence of analytic normalizations when these systems are either analytic integrable or partially analytic integrable. But the later case has some additional condition.