The Alon-Jaeger-Tarsi conjecture via group ring identities
Vienna Combinatorics Seminar ( VCS)
Date
Tuesday, May 19, 2026 15:00 - 18:00
Speaker
Péter Pál Pach (Renyi Institute)
Location
Raiffeisen Lecture Hall, Central Building
Series
Seminar/Talk
Host
Matthew Kwan and Uli Wagner
Contact
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.