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SUMMARY:Martin Raum (Chalmers Technical University\, Gothenburg\, Sweden)
DTSTART:20201019T160000Z
DTEND:20201019T170000Z
DTSTAMP:20260423T021147Z
UID:EIMINT/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EIMINT/7/">R
 elations among Ramanujan-type Congruences</a>\nby Martin Raum (Chalmers Te
 chnical University\, Gothenburg\, Sweden) as part of EIMI Number Theory Se
 minar\n\n\nAbstract\nWe present a new framework to access relations among 
 Ramanujan-type congruences of a weakly holomorphic modular form. The frame
 work is strong enough to apply to all Shimura varieties\, and covers half-
 integral weights if unary theta series are available. We demonstrate effec
 tiveness in the case of elliptic modular forms of integral weight\, where 
 we obtain a characterization of Ramanujan-type congruences in terms of Hec
 ke congruences. Finally\, we showcase concrete computer calculations\, exp
 loring the information encoded by our framework in the case of elliptic mo
 dular forms of half-integral weight. This leads to an unexpected dichotomy
  between Ramanujan-type congruences found by Atkin and by Ono\, Ahlgren-On
 o.\n
LOCATION:https://researchseminars.org/talk/EIMINT/7/
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