Date: Sunday, 6 Iyar 5765 (May 15, '05)

Speaker: Dan Bernstein (Weizmann Institute)

Title: "A Foata bijection for the alternating group and for q-analogues"

Abstract:
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The Foata bijection $\Phi : S_n \to S_n$ is extended to the bijections
$\Psi : A_{n+1} \to A_{n+1}$ and $\Psi_q : S_{n+q-1} \to S_{n+q-1}$, where
$S_m$, $A_m$ are the symmetric and the alternating groups. These
bijections imply bijective proofs for recent equidistribution theorems, by
Regev and Roichman, for $A_{n+1}$ and for $S_{n+q-1}$.

Joint work with Amitai Regev.