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

Vertex algebras of chiral differential operators on a complex reductive group G are "Kac-Moody" versions of the usual algebra of differential operators on G. Their categories of modules are especially interesting because

The combinatorial description of the moduli space of curves in terms of ribbon graphs was one of the crucial ingredients in Kontsevich’s proof of Witten’s conjecture. The same model was used by

In this talk, I will present how techniques from quantum information theory and quantum thermodynamics can be used to derive the second law of thermodynamics for quantum fields. I will begin with

Representation theory of quantum groups at roots of unity is connected with various problems in vertex algebras, TQFT, quantum topology and modular representation theory. We have evidence of strong connection between the