**NOTICE: Due to inclement weather, the talk for 3/21 has been postponed to 3/22. **

The spring 2018 Ritt Lectures, by Professor Michael Eichmair, will take place on Tuesday, March 20, 2018 between 2:45 – 3:45pm in Rm 417 and Thursday, March 22, 2018 between 5:30 – 6:30pm in Rm 417. Professor Eichmair (University of Vienna), will deliver a two talk series titled:

“Scalar Curvature & Isoperimetry in the Large”

Abstract

According to the initial value formulation of general relativity, all that is future and all that is past is contained in a glimpse of a space-time. This correspondence between the physics of the evolving space-time and the geometry of initial data for the Einstein equations is highly non-linear. The works of H. Bray, D. Christodoulou, G. Huisken, R. Schoen, S.-T. Yau, and others suggests isoperimetry (How much area is needed to enclose a given amount of volume in initial data for the space-time?) as a tool for extracting physical information about the space-time from the initial data. I will discuss recent proofs of a number of their conjectures in my two lectures.

This is joint work with S. Brendle, with O. Chodosh, with O. Chodosh, Y. Shi, and H. Yu, and with O. Chodosh, Y. Shi, and J. Zhu.

Tea will be served at 4 pm in 508 Mathematics.

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