BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Part I.  Singular moduli for real quadratic fields. (Joint with Al
 ice Pozzi and Jan Vonk.)
DTSTART:20220310T141500
DTEND:20220310T144500
DTSTAMP:20260407T103347Z
UID:0d1b974e02f4196adce3a7a03193e2dfb357aedaac7cce50ad2ede3e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Henri Darmon (McGill\, Montreal)\nThe theory of complex multip
 lication asserts that the values of classical modular functions like the $
 j$-function at imaginary quadratic arguments of the Poincaré upper half-p
 lane generate abelian extensions of  imaginary quadratic  fields\, and a
 dmit explicit factorisations. There is a rich literature devoted to provin
 g \nsimilar results for the  CM values of  holomorphic  and nearly hol
 omorphic modular forms (Shimura)\, higher Green’s functions (Duke-Li\, E
 hlen\, Viazovska)\,  certain mock modular forms (Bruinier\, Ono\, …)\, 
 etc. \nI will discuss an analogous theory   in which the  modular objec
 ts are   so-called {\\em rigid meromorphic cocycles} on a Drinfeld upper 
 half plane. Their main virtue is that they can be meaningfully evaluated a
 t real quadratic irrationalities\, leading to  an ``explicit class field 
 theory"  for real quadratic fields.
LOCATION:CM 0 9 https://plan.epfl.ch/?room==CM%200%209
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR