Seminar talk, 5 October 2016

Speaker: Alexander Malakhov

Title: The Lie problem and differential invariats of a subgroup of the Cremona group

Abstract:
The talk will discuss the Lie problem on point classification of ordinary differ ential equations of second order $y''=F(x,y)$ and a new approach to

the study of infinite dimensional subgroups of the Cremona group.

The approach is based on an unexpected relation between differential equations a nd algebraic geometry. Namely, the group of point symmetries of differential eq uations of the form $y''=F(x,y)$ with rational right-hand side is a subgroup of the Cremona group.

This is a joint work with Pavel Bibikov.