Abstract for the talk on 04.05.2017 (15:45 h)Oberseminar GEOMETRIE
Karim Adiprasito (Mathematisches Institut, Universität Leipzig)
T < 4E
We prove the Gruenbaum conjecture, i.e. for a 2-dimensional simplicial complex embedding in R4 on T triangles and E edges, we have
T < 4E.
We also extend this to higher dimensions and manifolds. The provided bounds are tight. The methods are perhaps surprisingly, not topological.