BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Introduction to Lie groups and algebras - 1 - Elizabeth Mansfield 
 (University of Kent)
DTSTART:20190708T130000Z
DTEND:20190708T140000Z
UID:TALK126970@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this series of three lectures\, I will give a gentle introd
 uction to Lie groups and their associated Lie algebras\, concentrating on 
 the major examples of importance in applications. I will next discuss Lie 
 group actions\, their invariants\, their associated infinitesimal vector f
 ields\, and a little on moving frames. The final topic will be Noether&rsq
 uo\;s Theorem\, which yields conservations laws for variational problems w
 hich are invariant under a Lie group action.  Time permitting\, I will sho
 w a little of the finite difference and finite element versions of Noether
 &rsquo\;s Theorem.<br> <br> In this first talk\, I will consider some of t
 he simplest and most useful Lie groups. I will show how to derive their Li
 e algebras\, and will further discuss the Adjoint action of the group on i
 ts Lie algebra\, the  Lie bracket on the algebra\, and the exponential map
 .
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR