# Taipei Postdoc Seminar

## [Postponed] 2020 (Wed.) 11:00-12:30 Ji Guo (Academia Sinica) Venue: Room 202, Astro-Math. Building Title: An Overview of Some Progress on the Arithmetic of Linear Recurrences and the Complex Analogues

Abstract:

We will discuss some known problems concerning the arithmetic of linear recurrent sequences (e.g. defined over integers). First, given two linear recurrences defined over a number field, one can ask whether the quotient of them is also a linear recurrence. We are also interested in the gcd of two linear recurrences and the d-th root of a linear recurrence. In this talk, our goal is to give an overview of the developments of linear recurrences along the work of van der Poorten, Corvaja-Zannier and Levin as well as the corresponding problems for complex entire functions.

2016

## Mar. 4, Kazuki Tokimoto (AS) Affinoids in the Lubin-Tate Space at Infinite Level and the Local Langlands Correspondence Mar. 11, Kwok-Wing Tsoi (NTU) On the Theory of Higher Special Elements for p-adic Representations Mar. 18, Ziqing Xiang (AS) An invitation to spherical designs

### The Taipei Postdoc Seminar is a weekly seminar that is organized jointly by the Institute of Mathematics of Academia Sinica and the National Center for Theoretical Sciences during the regular academic year. The seminar is held in these two mathematical institutions, with each one of them hosting the event approximately once every two weeks. The National Taiwan University, Academia Sinica, and the NCTS, together employ a significant number of postdoctoral fellows in mathematics from all over the world every year. The diverse scientific and cultural backgrounds of these postdocs create a unique environment of learning, and the goal of the Taipei Postdoc Seminar is to take advantage of this opportunity by bringing together all these postdocs once in a week in an informal-style seminar to enhance discussions and exchange of ideas among the participants. It is our belief that not only will this seminar encourage and eventually lead to more collaboration among mathematicians in Taipei, but it will also give the participants a chance to broaden their own scientific viewpoints. It is our hope that this seminar will greatly enrich the academic experience of the postdoctoral fellows during their stay in Taipei. Organizers: Sheng-Fu Chiu (sfchiu@gate.sinica.edu.tw), Jia-Yuan Dai (jydai@ncts.tw)

Former organisers