A Hasse principle over Berkovich analytic curves | Vidéo | Carmin.tv

00:00:00 / 00:00:00

A Hasse principle over Berkovich analytic curves

By Vlerë Mehmeti

Appears in collection : Model theory of valued fields / Théorie des modèles des corps valués

I will be speaking of an application of Berkovich spaces to questions related to the existence of rational points on varieties. More precisely, several local-global principles applicable to quadratic forms will be presented, all of them obtained by working over Berkovich analytic curves. The main tool I employ is an adaptation of the so called patching technique, which has lately become an important method for the study of such questions.

Information about the video

Date of recording 29/05/2023
Date of publication 23/06/2023
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20052703
Cite this video Mehmeti, Vlerë (29/05/2023). A Hasse principle over Berkovich analytic curves. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20052703
URL https://dx.doi.org/10.24350/CIRM.V.20052703

Domain(s)

Bibliography

MEHMETI, Vlerë. An analytic viewpoint on the Hasse principle. arXiv preprint arXiv:2203.16234, 2022. - https://doi.org/10.48550/arXiv.2203.16234

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2025

Give feedback