Home /  UC Berkeley Combinatorics Seminar: Ehrhart polynomials of generalized permutohedra from A to B

Seminar

UC Berkeley Combinatorics Seminar: Ehrhart polynomials of generalized permutohedra from A to B March 05, 2025 (03:40 PM PST - 05:00 PM PST)
Parent Program:
Location: UC Berkeley, Evans 891
Speaker(s) Warut Thawinrak (University of California, Davis)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

I’ll show how to derive a formula for the Ehrhart polynomials for the type-$B$ generalized permutohedra, which offer a more concise alternative to the recent formula obtained by Eur, Fink, Larson, and Spink from their study of delta-matroids. My approach utilized some of the techniques and tools introduced around 20 years ago by Postnikov from his study of generalized type-$A$ permutohedra, a family of polytopes that interconnects with many mathematical concepts such as matroids, graphs, and Weyl groups. If time permits, I’ll discuss about some progress on computing their h-polynomials.

No Notes/Supplements Uploaded No Video Files Uploaded