One School Seminar: Wu -- Ricci solitons and their stability under Ricci flow

Speaker: Haotian Wu, The University of Sydney
Title: Ricci solitons and their stability under Ricci flow
Abstract: Abstract: Ricci solitons are fixed points of the Ricci flow dynamical system 
on the space of Riemannian metrics. In this talk, we look at the stability of some 
Ricci solitons. For example, the standard round sphere is stable under Ricci flow, 
whereas the Fubini-Study metric on complex projective space is not. In particular, 
we explore the asymptotic behaviour of unstable perturbations of Fubini-Study metric 
in Ricci flow.