Universitat Politècnica de Catalunya
Monday, May 7 at 2:30 PM
The quest for a discrete version of the Brunn-Minkowsli inequality has inspired several versions which are not completely satisfactory. In this direction Matolcsi and Ruzsa conjectured an analogous version of the Brunn-Minkowski inequality for finite sets of points A and B and their Minkowski sum A+B where measure is substituted by the number of triangles in a triangulation. The talk will discuss recent progress in this conjecture and its higher dimensional version using mixed subdivisions.
This is joint work with Karcsi Boroczky, Mate Matolcsi, Imre Ruzsa and Francisco Santos.
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