Adele Padgett | Tameness of multisummable series скачать в хорошем качестве

Adele Padgett | Tameness of multisummable series

Geometry Meets Physics: Finiteness, Tameness, and Complexity 11/14/2025 Speaker: Adele Padgett, Vienna Title: Tameness of multisummable series Abstract: There are sophisticated theories of summability that map divergent series solutions of differential or functional equations to solutions that are holomorphic in sector-like domains. Van den Dries and Speissegger proved that functions obtained from real multisummable power series have tame geometric behavior when restricted to the real numbers. It would be desirable to know that these functions are also tame on their whole sector-like domains, but recently Speissegger and I proved that these functions are in general only tame on part of their domains. I will present this result and discuss the domains on which some examples are tame, including the Stirling series which appears in the asymptotic expansion of the Gamma function. In this talk, “tame” means definable in an o-minimal structure.