BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Christina Roehrig (University of Cologne)
DTSTART:20210210T160000Z
DTEND:20210210T170000Z
DTSTAMP:20260423T021422Z
UID:hnts/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/26/">Si
 egel theta series for indefinite quadratic forms</a>\nby Christina Roehrig
  (University of Cologne) as part of Heilbronn number theory seminar\n\n\nA
 bstract\nDue to a result by Vignéras from 1977\, there is a quite simple 
 way to determine whether a certain theta series admits modular transformat
 ion properties. To be more specific\, she showed that solving a differenti
 al equation of second order serves as a criterion for modularity. We gener
 alize this result for Siegel theta series of arbitrary genus $n$. In order
  to do so\, we construct Siegel theta series for indefinite quadratic form
 s by considering functions that solve an $n\\times n$-system of partial di
 fferential equations. These functions do not only give examples of Siegel 
 theta series\, but build a basis of the family of Schwartz functions that 
 generate series that transform like modular forms.\n
LOCATION:https://researchseminars.org/talk/hnts/26/
END:VEVENT
END:VCALENDAR