Mathematics

Balogh and Kristály proved a sharp isoperimetric inequality for the class of CD(0,N) spaces with fixed asymptotic volume ratio at infinity.  In this talk I will present a similar result with the MCP(0,N) condition in the place of the CD(0,N) condition.In the first part of the talk, I will give a brief introduction to the "localization via disintegration" technique, which is the main tool of the proof.In the second part, I will prove  said isoperimetric inequality.  The proof is carried out via a scaling argument of the localization.