Fall School Tropical and Polyhedral Combinatorics
The RG Algorithmic Discrete Mathematics organizes a fall
school on tropical and polyhedral combinatorics as part
of the priority program Algorithmic
and Experimental Methods. The school will be held from October
9 to 12 at TU Darmstadt.
The lectures are targeted at advanced students (usually having
completed their BSc degree) and beginning PhD students that want
to learn more about Combinatorics, Discrete Geometry, and their
applications. As prerequisites, some knowledge in polyhedral
theory is useful.
The fall school is part of the class
Tropical Combinatorics of Prof Joswig.
We will meet at Dolivostr. 15, Room 142 (first floor, left, at the end of the aisle). Prospective participants are asked to contact Ms Röder (roeder at mathematik.tudarmstadt.de) until beginning of October.
Lecturers
Michael Joswig (MJ):  Tropical Combinatorics 
Tropical polynomials and tropical hypersurfaces, Principles of combinatorial optimization from a geometric viewpoint, Connection to polytope theory, Algorithmic aspects Lecture Notes 

Andreas Paffenholz (AP):  Lattice Polytopes and Triangulations 
Ehrhart Theory: lattice polytopes, generating functions,
Ehrhart and h^{*}Polynomials, Reciprocity and der
Theorem of Brion Geometry of Numbers, Flatness Lecture Notes and Slides 
Voraussichtlicher Zeitplan
Tue  Wed  Thu  Fri  
911  MJ: Tropical Arithmetic and Polynomials  AP: Ehrhart Theory: Reciprocity  MJ: Tropical Polytopes  AP: Geometry of Numbers 
1112  exercises  exercises  exercises  exercises 
1214  lunch break  lunch break  lunch break  lunch break 
1416  AP: Ehrhart Theory: basics  MJ: Graph algorithms and the tropical determinant  AP: Theorem of Brion  MJ: Products of simplices, mixed subdivisions and the Cayley trick 
1617  exercises  exercises  exercises  exercises 
Introductory Reading

Ziegler, Lectures on Polytopes

Schrijver, Linear and Integer Programming

Beck, Robbins, Counting the continuous discretely

RichterGebert, Jürgen; Sturmfels, Bernd; Theobald, Thorsten
First steps in tropical geometry. (English summary) Idempotent mathematics
and mathematical physics, 289317,
Contemp. Math., 377, Amer. Math. Soc., Providence, RI, 2005.
 Joswig, Michael; Theobald, Thorsten Algorithmische Geometrie. (German) [Algorithmic geometry] Polyedrische und algebraische Methoden. [Polyhedral and algebraic methods] Vieweg Studium: Aufbaukurs Mathematik. [Vieweg Studies: Mathematics Course] Vieweg, Wiesbaden, 2008.