# Peking Online International Number Theory Seminar (POINTS)

## Introduction

This seminar series is sponsored by the Beijing International Center of Mathematical Research (BICMR) and the School of Mathematical Sciences of Peking University (SMS-PKU).

The seminars usually take place on Wednesday evenings (UTC +8), presumably via Zoom. By default, the talks will be given in English. The official announcements of our talks will appear on the websites of BICMR and/or SMS-PKU. The talks will also be announced on researchseminars.org .

The slides or videos, if available, can be found on the page of Past talks.

If you are willing to give a talk, please feel free to contact any one of the organizers below. Their E-mail addresses can be easily found on the websites of BICMR or SMS-PKU.

• Yiwen Ding
• Wen-Wei Li
• Ruochuan Liu
• Zhiyu Tian
• Liang Xiao
• Enlin Yang
• Xinyi Yuan

## Upcoming talks

### Hilbert's irreducibility theorem for abelian varieties

Speaker: Ariyan Javanpeykar (Johannes Gutenberg-Universität Mainz)

Time: 14:30-15:30, November 25, 2020 (UTC+8)

Abstract: We will discuss joint work with Corvaja, Demeio, Lombardo, and Zannier in which we extend Hilbert's irreducibility theorem (for rational varieties) to the setting of abelian varieties. Roughly speaking, given an abelian variety $$A$$ over a number field $$k$$ and a ramified covering $$X$$ of $$A$$, we show that $$X$$ has "less" $$k$$-rational points than $$A$$.

Zoom info:

https://zoom.com.cn/j/63778606108?pwd=RlpyQWR2MlRDbTZzcmlha09oRVd6QT09

ID：637 7860 6108