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SUMMARY:On singular moduli for arbitrary discriminants
DTSTART:20121108T111500
DTEND:20121108T123000
DTSTAMP:20260408T060241Z
UID:e2a4c7e56d81edf2253411cbfeb209ec68f21c18194fd5136eb8a56c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Bianca Viray\nLet d1 and d2 be discriminants of quadratic imag
 inary orders and let J(d1\,d2)^2 denote the product of differences of CM j
 -invariants with discriminants d1 and d2. In 1985\, Gross and Zagier gave 
 an elegant formula for the factorization of the integer J(d1\,d2) in the c
 ase that d1 and d2 are relatively prime and discriminants of maximal order
 s. In this talk\, I will explain how we generalize their methods and give 
 a complete factorization in the case that d1 is squarefree and d2 is any d
 iscriminant and a partial factorization in all other cases. If time permit
 s\, I will explain how this leads us to a conjectural formula for when the
  conductors of d1 and d2 are relatively prime. This is joint work with Kri
 stin Lauter.
LOCATION:AAC006 http://plan.epfl.ch/?zoom=19&recenter_y=5864224.42038&rece
 nter_x=730672.24955&layerNodes=fonds\,batiments\,labels\,events_surface\,e
 vents_line\,events_label\,information\,parkings_publics\,arrets_metro\,eve
 nem
STATUS:CONFIRMED
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