Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Shigeru Mukai, 京都RIMS研究所
Inviter:
Title:
Playing with plane cubics, rational sextics and Cremona transformations
Time & Venue:
2018.6.29 15:30-16:30 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.