MIT-Harvard-MSR Combinatorics Seminar

Wednesday, May 04, 2022 at 4:15pm to 5:15pm

MIT - Dept. of Mathematics, Bldg. 2, Room 139

Speaker;  Travis Dillon  (MIT)

Title:  New quantitative Helly-type theorems for diameter


Helly's theorem is a fundamental statement in discrete and convex geometry that relates the intersection of a family of convex sets to the intersections of its subfamilies. This talk surveys recent advances in quantitative versions of Helly's theorem, including best-known results toward proving a 1982 conjecture of Bárány, Katchalski, and Pach. Along the way, I'll introduce a new, surprisingly powerful technique for proving quantitative Helly-type theorems, and we'll completely characterize the norms for which there is a ``no-loss'' Helly-type theorem for diameter.

This talk is based on joint work with Pablo Soberón.

Event Type


Events By Interest


Events By Audience

MIT Community

Events By School

School of Science


Department of Mathematics
Contact Email

Add to my calendar

Recent Activity