This seminar continues along the lines of the Discrete Mathematics course sequence. We will cover a number of (relatively) recent breakthroughs from various areas of combinatorics.
A list of topics, which will be added to in the coming weeks, is given below. Included are links to some source material, from which you should prepare your talks. 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 these papers. We will assign topics and set the seminar schedule during our initial meeting on October 15th. In case you cannot make this meeting because of a clash with another course, please send us an e-mail in advance letting us know which topics you are interested in. Please also tell us what times you would be free for the seminar, as we will try to reschedule it to a convenient time if there are a lot of clashes.
|The Combinatorial Nullstellensatz and applications||Tibor||Alon|
|The List Colouring Conjecture||Tibor||Häggkvist-Janssen;
|The sensitivity conjecture||Shagnik||Chung-Füredi-Graham-Seymour;
|Cliques in Paley graphs||Tibor||Hanson-Petridis|
|Erdős-Ginzburg-Ziv and the Kemnitz Conjecture||Shagnik||Rónyai;
|The Erdős Sunflower Conjecture||Shagnik||Alweiss-Lovett-Wu-Zhang;
|Enumerating independent sets||Shagnik||Kahn-Park;
The seminar will be run by
Arnimallee 3, Rm 211a
szabo at math dot fu-berlin dot de
A general prerequisite is familiarity with combinatorics.
A formal prerequisite is the successful completion of the Finite Geometry (Discrete Mathematics III) course taught in the Summer 2019 semester, or the consent of the instructor (please contact if necessary).
This course can be used as a Vertiefungsmodul 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.
The seminar will take place on Tuesdays, 10:15 to 11:45 in Arnimallee 3, SR 119.
|Oct 15||Tibor||Assignment of talks|
|Nov 12||Krisztina||The Combinatorial Nullstellensatz|
|Nov 19||Yizhou||The Combinatorial Nullstellensatz II|
|Matthias||The Sensitivity Conjecture|
|Dec 10||Felipe||Cliques in Paley graphs I|
|Dec 17||Matteo||Cliques in Paley graphs II|
|Jan 7||Ander||Erdős-Ginzburg-Ziv and the Kemnitz Conjecture I
|Jan 14||Simona||Erdős-Ginzburg-Ziv and the Kemnitz Conjecture II|
|Jan 21||Adam||The Erdős Sunflower Conjecture|
|Jan 28||Alp||The List Colouring Conjecture I|
|Feb 4||Alp||The List Colouring Conjecture II|