Title: Definable holomorphic continuations in two o-minimal structures

Speaker: Adele Padgett (University of Vienna)

Time: 2025/04/24 16:00-17:00

Zoom room: 717 463 6082

Organizer: Kyle Gannon (BICMR)

Abstract：

　　A real analytic function can always be continued holomorphically to some domain. However, the holomorphic continuations of functions definable in an o-minimal structure may not be definable. I will present joint work with P. Speissegger in which we study holomorphic continuations of functions definable in two o-minimal expansions of the real field. I will also discuss how to apply these results to the complex Gamma function and Riemann zeta function.