#### ** Upcoming Talk**

**[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.
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