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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.

Diaporama / Slideshow

Video

CONFÉRENCE PRIX CRM-FIELDS-PIMS 2017

CONFERENCIER(S) / SPEAKER(S) :
Henri Darmon (McGill)

TITRE / TITLE :
p-adic Analysis and Hilbert's Twelfth Problem

LIEU / PLACE :
CRM, UdeM, Pav. André-Aisenstadt, 2920, ch. de la Tour, salle 6254

DATE :
Le vendredi 6 octobre 2017 / Friday, October 6, 2017

HEURE / TIME :
16 h / 4:00 p.m.

RESUME / ABSTRACT :
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.

Le café sera servi à 15h30 et une réception suivra la conférence au Salon Maurice-L'Abbé (salle 6245).
Coffee will be served before the conference and a reception will follow at Salon Maurice-L'Abbé (Room 6245).