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SUMMARY:Unifying relaxed notions of modular forms
DTSTART:20171130T141500
DTEND:20171130T151500
DTSTAMP:20260526T183038Z
UID:c525a1979e6ead6b64166e66baa2116bca390089ba5b62cc38d4864c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Martin Raum (Chalmers)\nThis is joint work with Michael Merten
 s\n\nElliptic modular forms are functions on the complex upper half plane 
 that are invariant under a certain action of the special linear group with
  integer entries. During the past decade it has been à la mode to study r
 elaxed notions of modularity. Relevant keywords in this context are mock m
 odular forms and higher order modular forms. In this talk\, we suggest a c
 hange of perspective on such generalizations. Most of the novel variants o
 f modular forms (with one prominent exception) can be viewed as components
  of vector-valued modular forms of "virtually real- arithmetic type". On t
 he one hand\, we can integrate into our work results by Kuga and Shimura t
 hat hitherto seemed almost forgotten. On the other hand\, we can subsume i
 terated Eichler-Shimura integrals\, and thus provide spectral deformations
  by Poincaré series. We also obtain Petersson inner products for mixed mo
 ck modular forms.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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