In algebraic dynamics, we wish to understand the integer sequence given by the degrees of iterates of a dominant rational self-map. Typical examples include the Fibonacci sequence and other linear recurrence sequences, though not all such degree sequences satisfy a
In my talk, I will introduce several sets of central elements in the universal enveloping algebra U(gl_N) and explain the relationships between them using average value of the gl-weight system as an example. As a consequence, we obtain a proof
Abstract: A D-finite series is a power series over the rational numbers that satisfies a linear differential equation with polynomial coefficients. Reducing a D-finite series modulo a prime number one often obtains an algebraic power series in positive characteristic. For
Résumé : Je vais expliquer comment les algèbres amassées, puis la théorie des représentations, peuvent servir pour réaliser certains espaces de configurations. Je me concentrerai sur l'espace \(M_{0,n}\) des configurations de n points distincts sur la droite projective, qui est