Daniel Köhne: Laplacian Polytopes of Oriented Simplicial Complexes
Tid: On 2021-11-03 kl 10.15 - 11.15
Föreläsare: Daniel Köhne (Universität Osnabrück)
Abstract: The Laplacian simplex of a finite simple graph is the convex hull of the columns of its Laplacian matrix. Since graphs can be seen as 1-dimensional simplicial complexes, we extend this approach to finite oriented simplicial complexes. Focusing on the boundary of \((d+1)\)-dimensional simplices, we will investigate serveral properties for the associated Laplacian polytopes as dimension, simpliciality, facet description and having a regular unimodular triangulation.
Zoom meeting ID: 654 5562 3260
Zoom link: https://kth-se.zoom.us/j/65455623260
The seminar can also be viewed in room 3721.