Seminar talk, 5 October 2016: Difference between revisions
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Created page with "{{Talk | speaker = Alexander Malakhov | title = The Lie problem and differential invariats of a subgroup of the Cremona group | abstract = The talk will discuss the Lie proble..." |
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| speaker = Alexander Malakhov | | speaker = Alexander Malakhov | ||
| title = The Lie problem and differential invariats of a subgroup of the Cremona group | | 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 | | abstract = The talk will discuss the Lie problem on point classification of ordinary differential equations of second order <math>y'' = F(x,y)</math> 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 | The approach is based on an unexpected relation between differential equations and algebraic geometry. Namely, the group of point symmetries of differential equations of the form <math>y'' = F(x,y)</math> with rational right-hand side is a subgroup of the Cremona group. | ||
This is a joint work with Pavel Bibikov. | This is a joint work with Pavel Bibikov. | ||
Latest revision as of 22:50, 21 September 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 differential equations of second order 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 and algebraic geometry. Namely, the group of point symmetries of differential equations of the form with rational right-hand side is a subgroup of the Cremona group.
This is a joint work with Pavel Bibikov.