Abstract: On homogeneous spaces, solutions to the prescribed Ricci curvature equation coincide with the critical points of the scalar curvature functional subject to a constraint. We provide a complete description of Palais--Smale sequences for this functional. As an application, we obtain new existence results for the prescribed Ricci curvature equation, which enables us to observe previously unseen phenomena. Joint work with Wolfgang Ziller (University of Pennsylvania).

Biography: Dr Pulemotov holds a Bachelor's degree from Kyiv University and a Ph.D. from Cornell University. His research is in the field of geometric analysis. He was a Dickson Instructor at the University of Chicago before joining the School of Mathematics and Physics at The University of Queensland in 2012.

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