19205901 Vorlesung

WiSe 15/16: (V) Aufbaumodul Diskrete Geometrie III

Raman Sanyal

Hinweise für Studierende

The target audience are students with a solid background in discrete geometry and/or convex geometry (en par with Discrete Geometry I & II). The topic of this course is a state-of-the-art of advanced topics in discrete geometry that find applications and incarnations in differential geometry, topology, combinatorics, and algebraic geometry. Schließen

Zusätzl. Angaben / Voraussetzungen

Voraussetzungen: Preferably Discrete Geometry I and II. Background in discrete geometry (polytopes, subdivisions, h-vectors) and convex geometry (mixed volumes, Brunn-Minkowski, Aleksandrov-Fenchel) should suffice.

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Kommentar

This is the third in a series of three courses on discrete geometry. This advanced course centers around the `g-Theorem, that is, the complete characterization of face numbers of simplicial convex polytopes. Combining ideas from the combinatorics (Discrete Geometry I) and the convex geometry (Discrete Geometry II) of polytopes naturally leads to McMullen's polytope/weight algebra. In this setup the g-Theorem and its proof can be clearly phrased. If time permits we will also address connections of the `algebra of polytopes' to intersection theory in toric and tropical geometry.

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Literaturhinweise

will be announced in class.

16 Termine

Regelmäßige Termine der Lehrveranstaltung

Di, 13.10.2015 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 20.10.2015 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 27.10.2015 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 03.11.2015 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 10.11.2015 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 17.11.2015 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 24.11.2015 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 01.12.2015 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 08.12.2015 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 15.12.2015 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 05.01.2016 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 12.01.2016 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 19.01.2016 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 26.01.2016 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 02.02.2016 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

Di, 09.02.2016 10:00 - 12:00

Kommentar:
SR Villa, Arnimallee 2

Dozenten:
Prof. Dr. Raman Sanyal

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