Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger, D. Steurer and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, March 15, 2022, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Istvan Tomon

Hyperplane covers of finite spaces

I will talk about three long-standing conjectures from the intersection of linear algebra and combinatorics that turn out to be closely related: the Alon-Jaeger-Tarsi conjecture (1988) on non-vanishing linear maps, the Additive basis conjecture of Alon-Linial-Meshulem (1991), and a conjecture of Pyber (1996) on coset covers of abelian groups. Recently, we solved the first one in a strong form, the second one in a weak form, and the third one in just the right form. Based on joint works with Janos Nagy and Peter Pal Pach.

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