中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

综合报告会

（Colloquium）

报告人：Prof. Shigeru Mukai(京都RIMS研究所)

题  目：Playing with plane cubics, rational sextics and Cremona transformations

时  间：2018.06.29(星期五) , 15:30-16:30(15:00-15:30为茶点时间, 地点: 数学院南楼N109室)

地  点：数学院南楼N109室

注：该讲座茶点受到中链科技有限公司的资助

摘 要：

Several theorems, such as Pappus’, Miquel’s and Desargues’ in elementary geometry are theorems of projective geometry also.  Moreover, they have infinite symmetries of Cremona transformations of the projective plane.  After explaining it for pencil of cubics, I will move to rational sextics and present an example with action of a non-commutative free group consisting of infinte Cremona transformations.