You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Lukas Kühne (Bielefeld University)
“Cosmological Polytopes”
Abstract: A cosmological polytope is a lattice polytope introduced by Arkani-Hamed, Benincasa, and Postnikov in their study of the wave function of the universe in a class of cosmological models. More concretely, they construct a cosmological polytope for any Feynman diagram, i.e. an undirected graph.
In this talk, I will report on a combinatorial study of these polytopes. This includes a complete description of their faces, the identification of minimal faces that are not simplices, and a computation of the number of faces in specific instances. If time permits I will also talk about a recent result of Juhnke-Kubitzke, Solus, and Venturello pertaining to unimodular triangulations of these polytopes.
Based on joint work with Leonid Monin.
Date: Thursday, April 13, 2023
Time: 17:45-18:45, GMT+3.
Place: Zoom
This is an online seminar. To request the event link, please send a message to goncha@fen.bilkent.edu.tr