Workshop on Recent Developments in Hodge Theory and O-minimality

Some Effective Special Point Results

Abstract: 
I'll start by discussing some work with Binyamini, Schmidt, and Thomas in which we prove a uniform Manin-Mumford result for products of CM elliptic curves. I'll show how we apply this to obtain an effective Andre-Oort result for fibre powers of the Legendre family. I'll then discuss work in progress with Schmidt, on extending this to multiplicative extensions. 
 

Date & Time

March 11, 2026 | 2:30pm – 3:30pm
Add to calendar 03/11/2026 14:30 03/11/2026 15:30 Workshop on Recent Developments in Hodge Theory and O-minimality use-title Topic: Some Effective Special Point Results Speakers: Gareth Jones, University of Manchester More: https://www.ias.edu/events/workshop-recent-developments-hodge-theory-and-o-minimality-9 Abstract:  I'll start by discussing some work with Binyamini, Schmidt, and Thomas in which we prove a uniform Manin-Mumford result for products of CM elliptic curves. I'll show how we apply this to obtain an effective Andre-Oort result for fibre powers of the Legendre family. I'll then discuss work in progress with Schmidt, on extending this to multiplicative extensions.    Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Location

Simonyi Hall 101

Speakers

Gareth Jones, University of Manchester

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