Einstein Homogeneous Spaces

event Wednesday, April 8, 2020
access_time 4:00 PM
room Zoom
info https://oklahoma.zoom.us/j/914890546?pwd=aXJsWWN6SDBCaXhMNjQ3aEJOR3FiUT09 Meeting ID: 914 890 546 Password: 007633

Abstract: An Einstein homogenous space is a smooth manifold G/H and with ricci curvature ric(x,y) = cg(x,y) where g(.,.) is the metric on G/H. An open question persists concerning the possible quotients, H, of noncompact Einstein homogenous spaces. Regarding this question, the Alekseevski conjecture states that H must be maximal compact. With this question and conjecture in mind, this talk will explore some of the things that are known about Einstein homogenous spaces and will present an approach for determining which Lie group quotients are NOT Einstein. Moreover, this talk will explore a tenable trajectory one could take in the quest of determining which G/H are not Einstein.

For more information on this event, please contact Hung Tran.