BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//UM//UM*Events//EN
CALSCALE:GREGORIAN
BEGIN:VTIMEZONE
TZID:America/Detroit
TZURL:http://tzurl.org/zoneinfo/America/Detroit
X-LIC-LOCATION:America/Detroit
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20070311T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20071104T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20261108T205902
DTSTART;TZID=America/Detroit:20261111T143000
DTEND;TZID=America/Detroit:20261111T153000
SUMMARY:Workshop / Seminar:Student Number Theory: The Gross-Zagier formula
DESCRIPTION:The Gross-Zagier formula relates the Néron-Tate height of a Heegner point to the central derivative of a Rankin L-function. Combined with Kolyvagin's theory of Euler systems\, it establishes the weak Birch and Swinnerton-Dyer conjecture for elliptic curves over Q of analytic rank one.\n\nWe begin by outlining the ideas behind Gross and Zagier's earlier factorization formula for differences of singular moduli\, which can be viewed as the local height computation in the special case N=1. For general N\, Gross's algebraic approach computes non-archimedean local height pairings\, while Zagier's analytic approach computes archimedean local height pairings. On the L-function side\, Rankin's method expresses the central derivative as the Petersson inner product with an explicit cusp form. The Gross-Zagier formula then follows by comparing this cusp form with the generating series of height pairings\, up to an oldform.\n\nWe conclude with a brief overview of recent developments in the field.
UID:154653-21918145@events.umich.edu
URL:https://events.umich.edu/event/154653
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3088
CONTACT:
END:VEVENT
END:VCALENDAR