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Title: Algebraicity of solutions of functional equations with one catalytic variable

Speaker: Sergey Yurkevich Affiliation: University Paris-Saclay Location: MC 5479 or contact Olya Mandelshtam for Zoom link

Abstract: Abstract: Numerous combinatorial enumeration problems reduce to the study of functional equations which can be solved by a uniform method introduced by Bousquet-Mélou and Jehanne in 2006. In my talk, I will first briefly explain this result and its proof. Then I will present a new generalization of it to the case of systems of functional equations with one catalytic variable. The method is constructive and yields an algorithm for computing the minimal polynomials of interest.