**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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