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2017 CRM-Fields-PIMS Prize Recipient

CRM > Prize > Prix CRM-Fields-PIMS > Recipients > Henri Darmon

2017 CRM-Fields-PIMS Prize Recipient

Henri Darmon (McGill University) [ Français ]

Professor Henri Darmon of McGill University is the winner of the 2017 CRM-Fields-PIMS Prize. Professor Darmon is one of the leading number theorists of his generation. He has an extraordinary record of deep and highly influential contributions to the arithmetic theory of ellipticcurves, including his recent breakthrough on the Birch and Swinnerton-Dyer Conjecture. He has also been an exceptional mentor to students and an exemplary citizen of the mathematical community.

Prof. Darmon obtained his Ph.D. in Mathematics from Harvard University in 1991. He has been the James McGill Professor of Mathematics since 2005.


October 2020 : zoom with Jishnu Ray and Pedro Lemos

October 2020 : zoom with Henri Darmon.

September - October 2020 : zoom with Salim Tayou.

September - October 2020 : zoom with Maria Rosaria Pati.

September - October 2020 : zoom with Lennart Gehrmann.

September 17, 2020 : zoom with Barath Palvannan and Gautier Ponsinet. Iawasawa Theory.

September 1, 2020 : zoom with Angelica Debanjana. Iawasawa Theory.

August 28, 2020 : zoom with Alice Pozzi. p-Adic Formulas of Modular Forms & Hilbert's 12th Problem

August 14, 2020 : video of Claire Burrin (ETH, Zurich) and Daniel Barrera Salazar's (Universidad de Santiago de Chile) conferences.

August 7, 2020 : Zoom session with Joel Specter and Antonio Cauchi

July 31, 2020 : Zoom session with Jackson S. Morrow and Mathilde Garbelli-Gauthier



Conference Slideshow

Henri Darmon's conference video - p-adic Analysis and Hilbert's Twelfth Problem

Henri Darmon (McGill)

p-adic Analysis and Hilbert's Twelfth Problem

CRM, UdeM, Pav. André-Aisenstadt, 2920, ch. de la Tour, salle 6254

Friday, October 6, 2017

4:00 p.m.

Modular functions play an important role in many aspects of number theory. The theory of complex multiplication, one of the grand achievements of the subject in the 19th century, asserts that the values of modular functions at quadratic imaginary arguments generate (essentially all) abelian extensions of imaginary quadratic fields. Hilbert's twelfth problem concerns the generalisation of this theory to other base fields. I will describe an ongoing work in collaboration with Jan Vonk which identifies a class of functions that seem to play the role of modular functions for real quadratic fields. A key difference with the classical setting is that they are meromorphic functions of a p-adic variable (defined in the framework of "rigid analysis" introduced by Tate) rather than of a complex variable.
Coffee will be served before the conference and a reception will follow at Salon Maurice-L'Abbé (Room 6245).