The Calogero conjecture, proposed by Salvatore Calogero in the early 1990s, is a conjecture in the field of mathematical physics, specifically in the study of integrable systems. It generally concerns certain mathematical structures known as "Calogero-Moser systems," which are defined on a set of particles interacting through a specific type of potential. The conjecture itself relates to the behavior of the eigenvalues of certain matrices that arise in the context of these systems.
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