19114 Seminar

SoSe 14: EM Forschungsseminar "Seminar zur Diskreten Geometrie"

Raman Sanyal

Zusätzl. Angaben / Voraussetzungen

The organizational meeting will be in the first semester week. If you are interested in the seminar sign-up at
here.
br> Discrete Geometry - Beyond the basics
Possible topics
  • Polytopes of Polytopes: fiber polytopes, mapping polytopes
  • Subdivisions of polytopes: secondary and universal polytopes, equidecomposability
  • Connections to combinatorics: permutahedra, associahedra, hypersimplices
  • combinatorial convexity: matroids and anti-matroids (convex geometries)
  • point-line incidences: Sylvester-Gallai problems, Kayeka problems(?)
  • colorful combinatorics: Radon, Caratheodory, Tverberg
  • Intersections of convex sets: Helly, Fractional Helly
  • Hyperplane arrangements: levels, zonotopes, pseudo-arrangements, Bohne-Dress
  • Dualities and polarity: LP-duality, polarity, Gale duality, Alexander duality
  • rigidity and the Lower Bound Theorem: stress, Lawrence, LBT
  • relations to combinatorial optimization: Birkhoff and friends; transportation polytopes; Schur-Horn Theorem
  • tropical convexity and polytopes
  • geometric constructions: wedge products and subdirect products/sums
  • incidence geometry and Lawrence polytopes
  • quotients of polytopes and neighborly polytopes
  • Minkowski sums and the Cayley trick
Schließen

Kommentar

Inhalt:

In this seminar we will explore advanced notions and constructions from discrete geometry. In particular, we will explore connections to other areas. Students should have a good background in discrete geometry or discrete mathematics (such as 'Discrete Geometry I' or 'Discrete Mathematics I').

Schließen

14 Termine

Regelmäßige Termine der Lehrveranstaltung

Di, 15.04.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 22.04.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 29.04.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 06.05.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 13.05.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 20.05.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 27.05.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 03.06.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 10.06.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 17.06.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 24.06.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 01.07.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 08.07.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Di, 15.07.2014 16:00 - 18:00

Dozenten:
Prof. Dr. Raman Sanyal

Räume:
SR 1/A2 Seminarraum (Arnimallee 2 / 4)

Studienfächer A-Z