Algebra, Combinatorics, and Constructions

Discrete Mathematics III Seminar

Winter 2018-19

FU Berlin, Mathematics and Informatics



Topics

This seminar continues along the lines of the Discrete Mathematics III course titled "Constructive Combinatorics," and will focus on recent advances in the field, with an emphasis on the use of algebraic methods.

References

Links to some source material, from which you should prepare your talks, will be provided below. You should also feel free to read around the topic and find other references that may be of use.

To begin with, please take a look at the papers below, and let us know by e-mail which topics you would be interested in. If you have any time constraints or preferences regarding when you would be able to give your talk, please mention those as well.

Topic Adviser First source
Rational extremal exponents Tibor Bukh-Conlon
New rational exponents Tibor Jiang-Ma-Yepremyan
Off-diagonal Ramsey numbers Tibor Alon-Pudlak
Multicolour Ramsey numbers Tibor Alon-Rödl
Cycles in hypergraphs Shagnik Jiang-Ma
Colouring, sparseness and girth Shagnik Alon-Kostochka-Reiniger-West-Zhu
Association schemes in combinatorics Shagnik Ihringer-Kupavskii
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Course Details

Instructor

The seminar will be run by

Tibor Szabó
Arnimallee 3, Rm 211a
szabo at math dot fu-berlin dot de

Prerequisites

A general prerequisite is familiarity with combinatorics.

A formal prerequisite is the successful completion of the Constructive Combinatorics (Discrete Mathematics III) course taught in the Summer 2018 semester, or the consent of the instructor (please contact if necessary).

Credits

This course can be used as a Forschungsmodul or an Ergänzungsmodul in the Masters curriculum of the Freie Universität, or as an advanced seminar course in the curriculum of the Berlin Mathematical School.

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Schedule

The seminar will meet on Mondays, 10:30 to 12:00 in Arnimallee 7, SR 140 (Hinterhaus).

Date Speaker Title
Oct 15 Tibor Szabó Assignment of talks
Oct 29 Fabian Junginger Rational exponents in extremal graph theory
TBD Ander Lamaison New rational exponents for individual graphs
TBD Felix Mann Off-diagonal Ramsey numbers
TBD Adam Borchert Colouring, sparseness and girth
TBD Tim Dittmann Association schemes in combinatorics
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