Ruprecht-Karls-Universität Heidelberg
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„Recent geometric and combinatorial results on lattice polytopes“
Prof. Lionel Pournin, University of Paris XIII, Frankreich

Ruprecht-Karls-Universität Heidelberg Mathematisches Institut Prof. Dr. Anna Wienhard Prof. Dr. Peter Albers Mathematisches Institut Mathematikon Im Neuenheimer Feld 205 69120 Heidelberg Tel: 06221 / 54-14206 wienhard@mathi.uni-heidelberg.de Heidelberg, 19.06.2019 Hauptseminar Geometrie "Recent geometric and combinatorial results on lattice polytopes" Prof. Lionel Pournin, University of Paris XIII, Frankreich Abstract: Several new results about d-dimensional lattice polytopes contained in the hypercube [0,k]^d will be presented, along with a number of related open questions. The first set of results is about the largest possible diameter for the edge-graph of these polytopes as a function of d and k, where the special case of primitive zonotopes plays an important role. The second set of results is on the number of primitive zonotopes, that pop up from a number of seemingly unrelated fields. The third set of results deal with a graph structure that can be put on the set of all lattice polytopes. The connectedness properties of this structure will be presented and discussed. Dienstag, den 02. Juli 2019 um 13.00 Uhr, SR C, EG, INF 205 Um 12.15 Uhr gemeinsamer Imbiss im Besprechungsraum 03.414, 3.OG, INF 205

Dienstag, den 2. Juli 2019 um 13:00 Uhr, in INF205, SR C Dienstag, den 2. Juli 2019 at 13:00, in INF205, SR C

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Anna Wienhard, Prof. Dr. Peter Albers