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SUMMARY:Jolanta Marzec (TU Darmstadt)
DTSTART:20200622T111500Z
DTEND:20200622T121500Z
DTSTAMP:20260423T022142Z
UID:WarsawNT/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarsawNT/4/"
 >Maass relations for Saito-Kurokawa lifts of higher levels</a>\nby Jolanta
  Marzec (TU Darmstadt) as part of Warsaw Number Theory Seminar\n\nLecture 
 held in room 403 at IMPAN.\n\nAbstract\nIt is known that a Siegel modular 
 form is a (classical) Saito-Kurokawa\nlift of an elliptic modular form if 
 and only if its Fourier coefficients\nsatisfy the so-called Maass relation
 s. The first construction of such a\nlift was given by Maass using corresp
 ondences between various modular\nforms. However\, in order to generalize 
 this lift to higher levels it\nis easier to use a construction coming from
  representation theory.  During\nthe talk we present history of this probl
 em and briefly discuss the\naforementioned constructions. We also indicate
  how one can read off the\nMaass relations from the latter. This work gene
 ralizes an approach\nof Pitale\, Saha and Schmidt from the classical to a 
 higher level case.\n
LOCATION:https://researchseminars.org/talk/WarsawNT/4/
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