Seminar: Polyhedral Geometry

Summer 2017

The geometry of convex polytopes and polyhedra is relevant in several areas of mathematics, both pure and applied. This includes, e.g., linear and combinatorial optimization, (toric) algebraic geometry, tropical geometry and (discrete) differential geometry.

Participants will present an original recent paper in the area. The target audience of the seminar are students in a master program in mathematics and graduate students of the Berlin Mathematical School. Yet the list of participants is closed by now.


All presentations will take place on Thursday July 20, 2017 in MA 621. We will start at 9:00 sharp! Each presentation will take about one hour. Everybody is welcome to attend.

Fabian Frickenstein
Adam Bohn, Yuri Faenza, Samuel Fiorini, Vissarion Fisikopoulos, Marco Macchia, Kanstantsin Pashkovich: Enumeration of 2-level polytopes, arXiv:1703.01943
Jorge Alberto Olarte
Vladimir Grujić, Marko Pešović: Face enumeration on matroid base polytopes, arXiv:1704.06715
Marco Buhlheller
Gaku Liu: Mixed volumes of hypersimplices, Electron. J. Combin. 23 (2016), no. 3, Paper 3.19, 19 pp.
Johanna Steinmeyer
Frédéric Bihan, Ivan Soprunov: Criteria for strict monotonicity of the mixed volume of convex polytopes, arXiv:1702.07676
Sybille Meyer
Daniel Irving Bernstein, Colby Long: L-Infinity optimization in tropical geometry and phylogenetics, arXiv:1606.03702
Paul Vater
Benoît Bertrand, Lucía López de Medrano, Jean-Jacques Risler: On the total curvature of tropical hypersurfaces, Algebraic and combinatorial aspects of tropical geometry, pp. 21-43, Contemp. Math., 589, Amer. Math. Soc., Providence, RI, 2013.

Further References

Special Classes of Polytopes and Fans
Metric Properties of Polytopes
Tropical Geometry
Beyond Polytopes and Polyhedral Fans

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Last modified: Thu Jun 15 12:58:13 UTC 2017 by joswig