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DTSTART;TZID=Europe/Berlin:20260710T133000
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DTSTAMP:20260618T075048Z
CREATED:20260618T075048Z
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UID:13617-1783690200-1783693800@crc326gaus.de
SUMMARY:p-adic singular moduli and higher Green’s functions
DESCRIPTION:Hazem Hassan (Heidelberg) \n\nHeegner cycles are the higher weight analogues to Heegner points. Those points and cycles play an important role in the theory of complex multiplication and of the arithmetic of elliptic curves of rank 1. Stark-Heegner points are conjectural points on elliptic curves which would be the real-quadratic counterparts to Heegner points in the emerging theory of real multiplication. In this theory\, Darmon-Vonk’s rigid meromorphic cocycles seem to be the real-quadratic analogue of singular moduli.\n\nI will present a generalization of rigid meromorphic cocycles to higher weight and use it to define a p-adic higher Green’s functions on real-quadratic points. This construction is motivated by the recently resolved conjecture by Gross and Zagier  on the algebraicity of values of complex higher Green’s functions. I will present a conjecture on the algebraicity of values of the p-adic Green’s functions that has been numerically verified. The values of the p-adic Green’s function are best envisioned as p-adic local intersection numbers of certain conjectured cycles associated to RM-points\, the so-called Stark-Heegner cycles.
URL:https://crc326gaus.de/event/p-adic-singular-moduli-and-higher-greens-functions/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
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DTSTART;TZID=Europe/Berlin:20260710T150000
DTEND;TZID=Europe/Berlin:20260710T170000
DTSTAMP:20260427T115641Z
CREATED:20260427T115635Z
LAST-MODIFIED:20260427T115641Z
UID:13244-1783695600-1783702800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Vukašin Mihajlović (Darmstadt): tba \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-copy-3/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260717T150000
DTEND;TZID=Europe/Berlin:20260717T170000
DTSTAMP:20260427T115730Z
CREATED:20260427T115730Z
LAST-MODIFIED:20260427T115730Z
UID:13247-1784300400-1784307600@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Yanik Kleibrink (Darmstadt): tba \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-40/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
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