# 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

### Lovely pairs of valued fields and adic spaces

Speaker: Jinhe Ye (MSRI)

Time: 16:00-17:00, October 21, 2020 (UTC+8)

Abstract: Hrushovski and Loeser used the space $$\widehat{V}$$ of generically stable types concentrating on $$V$$ to study the topology of Berkovich analytification $$V^{an}$$ of $$V$$. In this talk we will give a brief introduction to this object and present an alternative approach, based on lovely pairs of valued fields, to study various analytifications using model theory. We will provide a model-theoretic counterpart $$\widetilde{V}$$ of the Huber's analytification of $$V$$. We show that, the same as for $$\widehat{V}$$, the space $$\widetilde{V}$$ is strict pro-definable.

Furthermore, we will discuss canonical liftings of the deformation retraction developed by Hrushovski and Loeser. This is a joint project with Pablo Cubides-Kovacsics and Martin Hils.

Venue: Science Building 1, room 1303, Peking University (Yanyuan campus)

Meeting ID: 649 4104 826

Passowrd: 143688

### TBA

Speaker: Ariyan Javanpeykar (Johannes Gutenberg-Universität Mainz)

Time: TBA, November 25, 2020 (UTC+8)

Abstract: TBA