Congratulations to Oxford Mathematics and Worcester College undergraduate Ellen who was a joint winner of the British Society for the History of Mathematics Undergraduate Essay Prize for her essay 'The "analysis" of a century: Influences on the etymological development of the word "analysis" in a mathematical context to 1750'.
Isoperimetric sets in manifolds with nonnegative Ricci curvature and Euclidean volume growth
Abstract
I will present a new existence result for isoperimetric sets of large volume on manifolds with nonnegative Ricci curvature and Euclidean volume growth, under an additional assumption on the structure of tangent cones at infinity. After a brief discussion on the sharpness of the additional assumption, I will show that it is always verified on manifolds with nonnegative sectional curvature. I will finally present the main ingredients of proof emphasizing the key role of nonsmooth techniques tailored for the study of RCD spaces, a class of metric measure structures satisfying a synthetic notion of Ricci curvature bounded below. This is based on a joint work with G. Antonelli, M. Fogagnolo and M. Pozzetta.
Junior Algebra and Representation Theory welcome
To start the new academic year, we will hold an informal event for postgraduate students and postdocs to meet, catch up, and drink coffee. The location of this event has changed - we will meet at 3pm in the Quillen Room (N3.12).