Universal optimality in Euclidean space

12.01.2022 10:45 - 12:15

Andrew Xu (University of Vienna)

In this talk we will introduce the definition of universal optimality of point configurations in Euclidean space. We will sketch the proof given by Cohn, H., & Kumar, A. (2007), showing that the integers are universally optimal in dimension 1.

The proof uses a linear programming bound, which was also used by Cohn, H., Kumar, A., Miller, S. D., Radchenko, D., & Viazovska, M. (2019) to show universally optimal configurations in dimension 8 and 24.

 

Zoom link

We kindly ask you to use your full name.

Organiser:
K. Gröchenig, J.L. Romero, M. Ehler
Location:
Zoom meeting