A:C&T
Arrangements: Combinatorics & Topology

Combinatorial

polynomials

BeNeFri lecture Spring 2020, University of Fribourg





Time and place: Thursday morning, U Fribourg.

Format: Lecture with some exercises. For those who need credit points, an oral examination. The exact time slot and format (including language) will be discussed during the first meeting.

Contact: SNSF-Prof. Emanuele Delucchi, emanuele.delucchi "at" unifr.ch

Lecture notes: [click here] for an updated version of the lecture notes. Corrections are welcome!
Lecture 1.
Graphs and colorings.
Suggested exercises: I.1 - I.5 in the Lecture Notes.
Lecture 2.
Flows on graphs and the Dichromate.
Lecture 3.
The Tutte polynomial: matroids, duality, universality.
Lecture 4. - March 19
Geometric lattices
[Click for ``Zoomboard'' files]
Lecture 5.
Dissection theory
[Click for ``Zoomboard'' files]
Lecture 6.
Signed graphs
[Click for ``Zoomboard'' files]
Lecture 7.
Signed graphs, root systems.
[Click for ``Zoomboard'' files]
Lecture 8.
Polyhedra and polytopes
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Lecture 9.
Faces of polyhedra, unimodularity.
[Click for ``Zoomboard'' files]
Lecture 10.
Subdivisions of polyhedra.
[Click for ``Zoomboard'' files]
Lecture 11.
Rational generating functions and simplicial cones
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Lecture 12.
Ehrhart theory
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Lecture 13.
Exercises / summary
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