Special Year Learning Seminar
The Pila-Zannier Strategy for Drinfeld Modules
The Pila–Zannier strategy has proved to be a particularly fruitful approach: first applied to reprove the Manin–Mumford conjecture, it was later exploited decisively in proofs of the André–Oort conjecture. Crucially relying on a recent counting theorem of Binyamini–Kato specialized to function fields of positive characteristic, we extend this method to the setting of Drinfeld modules, thereby (re)proving certain cases of these conjectures.
Joint work in progress with Gal Binyamini and Dmitry Novikov.
Date & Time
March 04, 2026 | 2:00pm – 3:00pm
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03/04/2026 14:00
03/04/2026 15:00
Special Year Learning Seminar
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Topic: The Pila-Zannier Strategy for Drinfeld Modules
Speakers: Francesco Maria Saettone, Weizmann Institute of Science
More: https://www.ias.edu/math/events/special-year-learning-seminar-43
The Pila–Zannier strategy has proved to be a particularly fruitful
approach: first applied to reprove the Manin–Mumford conjecture, it
was later exploited decisively in proofs of the André–Oort
conjecture. Crucially relying on a recent counting theorem of
Binyamini–Kato specialized to function fields of positive
characteristic, we extend this method to the setting of Drinfeld
modules, thereby (re)proving certain cases of these conjectures.
Joint work in progress with Gal Binyamini and Dmitry Novikov.
Simonyi 101
a7a99c3d46944b65a08073518d638c23
Location
Simonyi 101Speakers
Francesco Maria Saettone, Weizmann Institute of Science