Intersections of balls and a no-dimensional Tverberg theorem

Series
Other Talks
Time
Monday, March 11, 2024 - 5:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Alexander Polyanskii – Emory University
Organizer
Ernie Croot and Cosmin Pohoata

The aim of my talk is to discuss the following result, its variations and its connections with a no-dimensional Tverberg theorem. For any n red and n blue points in the Euclidean d-space, there exists a perfect red-blue matching M such that the balls whose diameters are edges of M share a common point.

(Joint works with O. Pirahmad, A. Vasilevskii, and P. Barabanshchikova.)