# Noon lecture

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On 27.2.2014 at 12:20 in S6, there is the following noon lecture:

# A remark on the Alon Tarsi conjecture

## Martin Loebl

## Abstract

(joint work with Ron Aharoni) The sign of a latin square L of order n is the product of the 2n signs of all its rows and columns. L is called restricted if its first row and column is the identity permutation.

Alon-Tarsi conjecture: for each n even, the sum of the signs of the latin squares of order n is non-zero.

Wanless, Kotlar conjecture: for each n, the sum of the signs of the restricted latin squares of order n is non-zero.

We prove that these two conjectures are equivalent.

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