Luis Nuñez Betancourt : The functional equation for meromorphic functions

Posted by Wenliang Zhang , part of the Commutative Algebra Seminar.

At

Nov. 1, 2022, 11 a.m.

In

Zoom

Abstract

The functional equation gives a systematic way to decrease the power of a polynomial via the ring of differential operators. This tool has been used to study singularities, multiplier ideals, local cohomology and zeta functions. In this talk we will discuss a functional equation for meromorphic equations and several consequences of its existence. This is joint work with Josep Àlvarez Montaner, Manuel González Villa, and Edwin León-Cardenal.