Abstract for the talk on 21.10.2021 (14:45 h)Seminar on Nonlinear Algebra
Eliana Duarte (Centro de Matemática de la Universidade do Porto)
Families of polytopes with rational linear precision in higher dimensions
21.10.2021, 14:45 h, MPI für Mathematik in den Naturwissenschaften Leipzig, E1 05 (Leibniz-Saal)
Polytopes with rational linear precision are of interest in the Geometric Modeling community because of their approximation properties and it is an open question to classify them in dimension d > 2. This classification question is closely related to discrete statistical models with rational maximum likelihood estimators. In this talk I will introduce a new family of lattice polytopes with rational linear precision in higher dimension using techniques from Algebraic Statistics. This is joint work with Isobel Davies (OVGU), Irem Portakal (MPI MIS) and Miruna-Stefana Sorea (SISSA).