May 19, 2026
The Alon-Jaeger-Tarsi conjecture via group ring identities
Vienna Combinatorics Seminar ( VCS)
Date: May 19, 2026 |
3:00 pm –
6:00 pm
Speaker:
Péter Pál Pach, Renyi Institute
Location: Raiffeisen Lecture Hall, Central Building
Language:
English
Abstract:
The Alon-Jaeger-Tarsi conjecture states that for any finite field F of size at least 4 and any nonsingular matrix A over F there exists a vector x such that neither x nor Ax has a 0 component. In this talk we discuss the proof of this result for |F|>79 and further applications of our method about coset covers and additive bases. Joint work with János Nagy and István Tomon.