Project Details
Projekt
Lattice polytopes, partially ordered sets, spherical varieties (A24)
Subject Area
Mathematics
Term
since 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 286237555
We will investigate the combinatorial and metric relationship among several classes of lattice polytopes in order to resolve associated questions motivated by Representation Theory and Algebraic Geometry. Our aim is to explore and analyze the moduli space of toric degenerations of spherical varieties arising from birational sequences and monomial bases of their representations. One guide through the project is a conjecture of Hibi and Li on f-vector dominance of Ehrhart-equivalent polytopes. We are putting this conjecture into a new framework of alcove polytopes or even poly-tropes, which form the building blocks of tropical convexity.
DFG Programme
CRC/Transregios
Applicant Institution
Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
Project Heads
Professor Dr. Ghislain Fourier, since 1/2021; Professor Dr. Michael Joswig, since 1/2021
