In this talk, we present a new concrete example of the correspondence between random matrices and random partitions via correlation functions.. We show that, under an appropriate scaling limit, the correlation function

Gaudin models were historically introduced as integrable spin systems, based on the Lie algebra su(2) or more generally any finite-dimensional simple Lie algebra. This talk is devoted to the so-called affine Gaudin

The space of (local) symmetries of a given geometric structure has the natural structure of a Lie (pseudo)group. Conversely, geometric structures admitting a local model can be described via the pseudogroup of