- Sponsor
- Alex Yong, Jake Rasmussen
- Speaker
- June Huh, Princeton University
- Views
- 9
- Originating Calendar
- General Events - Department of Mathematics
Tondeur Lecture 1: Monday, March 9, 4-5, 180 Bevier; refreshments following the talk.
Title: Projection areas of 4-dimensional convex bodies
Consider a convex body in 4-dimensional space—perhaps an ellipsoid or a polytope. When we project the convex body onto the six coordinate planes, we obtain six planar shadows whose areas we can measure. This leads to a deceptively simple question: which six numbers can arise as these projection areas?
Behind this concrete geometric problem lies a web of deep mathematics connecting Minkowski's classical work on the isoperimetric problem to recent developments in algebraic geometry. I will trace the path to the answer, revealing the rich mathematical landscape that emerges from this seemingly elementary question. The talk will be accessible to general mathematical audience. Based on joint work with Daoji Huang, Mateusz Michalek, Botong Wang, and Shouda Wang.