Pablo Soberón "Mass partitions, transversals, and Stiefel manifolds" | Big SeminarVote
It is our pleasure to share the Big Seminar talk "Mass partitions, transversals, and Stiefel manifolds" by Pablo Soberón.
We study mass partition problems related to geometric transversals. In this talk, we focus on two problems. In the first, given a measure in R^d, we seek to split R^d into few convex sets of equal measure so that every hyperplane misses the interior of many regions. In the second, we extend recent ham sandwich results on Grassmannians to impose geometric constraints on the dividing subspaces. The topological backbone of both problems is the same, and relies on extensions of the Borsuk—Ulam theorem to Stiefel manifolds. The contents of this talk are joint work with Ilani Axelrod-Freed and Michael Manta.
Seminars schedule and archive are available here - http://combgeo.org/en/events/big-seminar.
About Combgeo Lab
We are the Laboratory of Combinatorial and Geometric Structures at MIPT. The lab aims to initiate collaboration and exchange between researchers who work on different topics in the fields of Combinatorics, Discrete and Computational Geometry, and Theoretical Сomputer Science.