Theoretical Statistics and Mathematics Unit

Seminar and Colloquium of the week

STUDENT SEMINAR

Title : Impossible integrals and algebraic curves
Speaker : Suresh Nayak (ISI Bangalore)
Time : April 23, 2019 (Tuesday), 03:15 PM
Venue : Auditorium
Abstract : It is a theorem of Liouville that indefinite integrals such as $\int e^{\pm t^2} dt$ and $\int e^t/t dt$ are impossible to evaluate in elementary terms or that they cannot be expressed as elementary functions. I will explain what this means and give a brief sketch of an algebraic proof due to Rosenlicht. I will then talk about elliptic integrals and discuss their connection with the study of algebraic curves.

[Upcoming Seminar] [Past Seminar] [Stat Math Unit] [Indian Statistical Institute]