Workshop on Additive Combinatorics and Algebraic Connections

The Alon-Jaeger-Tarsi Conjecture via Group Ring Identities

Abstract: The Alon-Jaeger-Tarsi conjecture states that for any finite field $F$ of size at least 4  and any nonsingular  matrix $M$ over $F$ there exists a vector $x$ such that neither $x$ nor $Mx$ has a 0 component. In this talk we discuss the proof of this result for primes larger than 61 and mention further applications of our method about coset covers and additive bases. Joint work with János Nagy and István Tomon.

Date & Time

October 25, 2022 | 4:00pm – 5:00pm


Simonyi 101 and Remote Access


Peter Pach

Speaker Affiliation

Budapest University