Here is the 3rd exercise sheet exercises_dgIII_ss15 for next Wednesday, 10-12. And the file “disgeoIII_notes” on the right contains some more material.
2015 SoSe
Exercise sheet 2
Here is the 2nd exercise sheet dcgIII_exercises_ss15 for next Wednesday.
Basic facts from Convexity
Here are some notes on “basic facts from convexity” disgeoIII_notes
Exercise sheet 1
Here is the (first) exercise sheet dgIII_exercises_ss15 for next Wednesday.
Infos Algebraic Statistics (Seminar)
This is a joint seminar with Christian Haase (FU Berlin) and Fatemeh Mohammadi (TU Berlin). The final preliminary meeting will take place at April 9 at 10, FU Berlin, Arminallee 3, room 130!
Infos Konvexgeometrie (Seminar)
Vorbesprechung: Dienstag, 14.04.2015, 16-18, MA549
Inhalt: Themenvorschläge: (under construction….)
- Minkowski’s characterization of the surface area (measure) of a polytope (convex body), see, e.g., paper
- The subspace concentration condition for polytopes, see, e.g., paper
- Hadwiger’s characterization of the intrinsic volumes (Quermaßintegrals), see, e.g., paper
- Hyperplane sections of the n-dimensional cube, see, e.g., paper
- Zerlegungen und Bewertungen von Gitterpolytopen, see, e.g., paper
- A proof of the lower bound conjecture for convex polytopes, see, e.g., paper
- Remarks on mixed discriminants and volumes, see, e.g., paper
- On some vector balancing problems, see, e.g., paper_1, paper_2
Infos Diskrete Geometrie III
Vorlesungszeiten: Dienstag, 12-14, MA750 & Freitag, 10-12, MA376
Übungen: Mittwoch, 12-14, MA376
Vorlesungsbeginn: Dienstag, 14.04.2015. 12-14, MA750
Inhalt: In Fortführung der Veranstaltungen Diskrete Geometrie_II und Konvexgeometrie_I werden hier ausgewählte Themen der Geometrie der Zahlen (Geometry of Numbers) behandelt — bei Wunsch/Bedarf gerne auch in Englisch.
Stichpunkte: Gitter und konvexe Körper (Minkowskis Fundamentalresultate); Reduktionstheorie (klassisch/modern); (Kugel-) Packungen/Überdeckungen konvexer Körper; Bewertungen und Gitterpunkte
Literatur: (vorläufig)
Alexander Barvinok, Integer points in Polyhedra, 2009.
Matthias Beck and Sinai Robins, Computing the continuous discretely, 2007.
William Andrew Coppel, Number Theory, 2009.
Peter Manfred Gruber, Convex and Discrete Geometry, 2007.
Peter Manfred Gruber and Cornelis Gerrit Lekkerkerker, Geometry of Numbers, 1987.
Carl Ludwig Siegel, Lectures on the Geometry of Numbers, 1988.
Bei Fragen, bitte e-mail an mich.