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SUMMARY; CHARSET=UTF-8 :NTAG Seminar: Modular generating series for real quadratic Heegner objects
UID:exeter_event_14246
URL:http://www.exeter.ac.uk/events/details/?event=14246
DTSTART;VALUE=DATE:20241106T133000
DTEND;VALUE=DATE:20241106T143000
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ORGANIZER: MAILTO:c.d.lazda@exeter.ac.uk
ATTACH: http://www.exeter.ac.uk/events/details/?event=14246
DTSTAMP:20241104T093230
LOCATION:Harrison Building 106 
DESCRIPTION; CHARSET=UTF-8 :The theory of elliptic curves with complex multiplication has yielded some striking arithmetic applications, ranging from (cases of) Hilbert's Twelfth Problem to the Birch and Swinnerton-Dyer Conjecture. These applications rely on the construction of certain "Heegner objects", arising from imaginary quadratic points on the complex upper half plane; the most famous examples of these are Heegner points. 
In recent years, conjectural analogues of these Heegner objects for real quadratic fields have been constructed via p-adic methods. In this talk, I will discuss how Heegner objects for real quadratic fields can be used to obtain modular generating series, that is, formal q-series that are q-expansions of classical modular forms. This is joint work with Judith Ludwig, Isabella Negrini, Sandra Rozensztajn and Hanneke Wiersema.
http://www.exeter.ac.uk/events/details/?event=14246
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