PreMaster Course

Lattice Points in Polytopes/Minimal Surfaces

April 4th - 8th, 2011

Institut für Mathematik, Goethe-Universität Frankfurt am Main

Poster

 

The Institute for Mathematics organizes a PreMaster Course, which is oriented towards students in their last year
of their undergraduate studies. students from Frankfurt can use the spring school for the master module MaM-PR-2
Professionalisierung 2 (3 CP).

Course 1:    Lattice Points in Polytopes (Prof. Christian Haase)        

Abstract:    We will start with a crash course on convex polytopes, their faces, and duality. In this part of the course
we will not prove all results to the last detail, but we aim for an intuition and for the ability to compute specific examples.
In the main part of the course, we will consider points all whose coordinates are integers  - lattice points -
inside convex polytopes. The goal is to prove Ehrhart's Theorem about the number of lattice points in dilations
of polytopes.
Along the way, we will see what this has to do with magic squares, with Chicken McNuggets and with your credit card.

Main Reference:  Matthias Beck and Sinai Robins Computing the continuous Discretely. Undergraduate Texts in Mathematics;
Springer-Verlag 2007 [ISBN-13: 978-0-387-29139-0]
http://math.sfsu.edu/beck/ccd.html

 

Course 2:   Minimal Surfaces (Prof. Tobias Lamm)

Abstract:    After some short introduction into the geometry of surfaces, we study harmonic and holomorphic functions
on two-dimensional domains. In particular we solve the Dirichlet-Problem on the unit ball.
Then we go on and prove the existence of a solution of the Plateau problem.

References: tba

Achtung Raumänderung: Ab Dienstag, den 5. April finden die Vorlesungen in Raum 901, Robert-Mayer-Straße 10, statt.

 

8:00 - 9:00	Breakfast
9:00 - 10:30	Course 1
10:30 - 11:00	Break
11:00 - 12:30	Course 2
12:30 - 14:00	Lunch
14:00 - 17:00	Work on Exercises
17:00 - 18:00	Present Solutions

 

 

 

 

 

 

 

Registration:

All those wishing to participate please apply by March 15 via Email to lamm@math.uni-frankfurt.de

A limited number of stipends is available.

 

 

 

 

 

 

 

 

 

 

 

 

geändert am 04. April 2011  E-Mail: Bürobuero@math.uni-frankfurt.de

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