Unlikely Intersections Seminar
Vahagn Aslanyan
University of Leeds
Modular Schanuel, Zilber-Pink, and Existential Closedness with Derivatives
Abstract: There are three important conjectures at the boundary between model theory, arithmetic geometry, and complex geometry -- Schanuel, Zilber-Pink, and Existential Closedness. I will discuss these conjectures for the modular j-function and mostly focus on novel versions incorporating the derivatives of j. I will then explain the relationship between them including a new link which is visible only when we consider the derivatives. At the end I will present the functional/differential variants of these conjectures which are all theorems.
Tuesday April 18, 2023 at 2:00 PM in 636 SEO