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）

Speaker：Prof. Shigeru Mukai(RIMS)

Title：Playing with plane cubics, rational sextics and Cremona transformations

Time：2018.06.29 , 15:30-16:30

Venue：N109

Abstract：

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.