BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Maryam Khaqan (Emory University)
DTSTART:20210303T003000Z
DTEND:20210303T010000Z
DTSTAMP:20260423T035933Z
UID:POINT/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/29/">E
 lliptic Curves and Thompson's Sporadic Group</a>\nby Maryam Khaqan (Emory 
 University) as part of POINT: New Developments in Number Theory\n\n\nAbstr
 act\nMoonshine began as a series of numerical coincidences connecting fini
 te groups to modular forms. It has since evolved into a rich theory that s
 heds light on the underlying structures that these coincidences reflect.\n
 \n\nWe prove the existence of one such structure\, a module for the Thomps
 on group\, whose graded traces are specific half-integral weight weakly ho
 lomorphic modular forms. We then proceed to use this module to study the r
 anks of certain\nfamilies of elliptic curves. In particular\, this serves 
 as an example of moonshine being used to answer questions in number theory
 .\n
LOCATION:https://researchseminars.org/talk/POINT/29/
END:VEVENT
END:VCALENDAR