A model theory of modular curves | Department of Mathematics

Seminar

Speaker

Boris Zilber (University of Oxford)

Date

09/05/2021 - 13:00 - 12:00Add to Calendar 2021-05-09 12:00:00 2021-05-09 13:00:00 A model theory of modular curves I am going to discuss a progress in a project which aims to formalise the notion of an analytic covering space of a complex algebraic variety in such a way that the formal pseudo-analytic cover is unique up to abstract isomorphisms. At this stage our interest focuses on the upper half-plane as the cover of modular curves. On the model theory side it is based on Shelah's theory of abstract elementary classes. On the geometric side it uses the rich theory of complex multiplication and canonical models of Shimura varieties as developed by Shimura, Langlands, Deligne, Milne, Borovoi and others. ZOOM: https://us02web.zoom.us/j/89074854473?pwd=R1BWVEZ4NG5yMkhNYVB2RGRLVnNMdz09 https://us02web.zoom.us/j/89074854473?pwd=R1BWVEZ4NG5yMkhNYVB2RGRLVnNMdz09 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public

Place

https://us02web.zoom.us/j/89074854473?pwd=R1BWVEZ4NG5yMkhNYVB2RGRLVnNMdz09

Abstract

I am going to discuss a progress in a project which aims to formalise the notion of an analytic covering space of a complex algebraic variety

in such a way that the formal pseudo-analytic cover is unique up to abstract isomorphisms. At this stage our interest focuses on the upper half-plane as the cover of modular curves.

On the model theory side it is based on Shelah's theory of abstract elementary classes. On the geometric side it uses the rich theory of complex multiplication and

canonical models of Shimura varieties as developed by Shimura, Langlands, Deligne, Milne, Borovoi and others.

ZOOM:

https://us02web.zoom.us/j/89074854473?pwd=R1BWVEZ4NG5yMkhNYVB2RGRLVnNMdz09