Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
DioG Program Research Seminar: Schmidt's Subspace Theorem Over (Geometric) Function Fields
To receive a link to participate remotely, please subscribe to our weekly Math Lecture Announcements email list.
Recently I've been working on proving Schmidt's Subspace Theorem for arithmetic function fields (finitely generated field extensions of Q, with the formalisms of heights, etc., as defined by Moriwaki in the early 2000s). As a first step in this effort, I have been trying to find a proof of the Subspace Theorem over geometric (i.e., classical) function fields
in one or more variables over a constant field F of characteristic zero, that could serve as a model for a proof over arithmetic function fields. (This theorem has been proved by Julie Wang, but her proof uses derivatives in ways that would not carry over to arithmetic function fields.)
In this talk I will describe work in progress in finding such a proof, based on an early proof by Lang of Roth's theorem over function fields in one or more variables.
No Notes/Supplements Uploaded