3 papers
math.RT2026
Representation theory of the principal equivariant -algebra and Langlands duality
Damien Simon
We study the structure and the representation theory of a certain class of vertex algebras. Our study was partly motivated by the quantum geometric Langlands program and we explain…
math.PR2025
Operads and the Markov Property on the square lattice
Damien Simon
Markov processes on the lattices with arbitrary dimension are omnipresent in statistical mechanics; however their algebraic description is complete only in dimension 1, for which l…
math-ph2025
Mixed radix numeration bases: Horner's rule, Yang-Baxter equation and Furstenberg's conjecture
Damien Simon
Mixed radix bases in numeration is a very old notion but it is rarely studied on its own or in relation with concrete problems related to number theory. Starting from the natural q…