Theoretical Statistics and Mathematics Unit, ISI Delhi

April 11, 2018 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Arunava Mandal,
ISI Delhi

Title:
Images of the power maps on Lie groups

Abstract of Talk

Let G be a Lie group. For a natural number k, we denote by P_k, the k-th power map, defined by g\to g^k for all g\in G. In this talk, we discuss the question as to when the individual power map P_k is surjective
or has a dense image in a Lie group. The problem is closely related to the study of exponentiality of Lie group.