BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Chang Heon Kim (SKKU)
DTSTART:20210128T070000Z
DTEND:20210128T080000Z
DTSTAMP:20260423T011218Z
UID:numsjtu/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/numsjtu/2/">
 Hecke system of harmonic Maass functions and applications to modular curve
 s of higher genera</a>\nby Chang Heon Kim (SKKU) as part of SJTU number th
 eory seminar\n\n\nAbstract\nThe unique basis functions $j_m$ of the form $
 q^{-m}+O(q)$ for the space of weakly holomorphic modular functions on the 
 full modular group form a Hecke system. This feature was a critical ingred
 ient in proofs of arithmetic properties of Fourier coefficients of modular
  functions and denominator formula for the Monster Lie algebra.\n\nIn this
  talk\, we consider the basis functions of the space of harmonic weak Maas
 s functions of an arbitrary level\, which generalize $j_m$\, and show that
  they form a Hecke system as well. As applications\, we\nestablish some di
 visibility properties of Fourier coefficients of weakly holomorphic modula
 r forms on modular curves of genus $\\ge1$. Furthermore\, we present a gen
 eral duality relation that these modular forms\nsatisfy.\nThis is a joint 
 work with Daeyeol Jeon and Soon-Yi Kang.\n\nZoom ID: 955 492 12478\, passw
 ord: 120205\n
LOCATION:https://researchseminars.org/talk/numsjtu/2/
END:VEVENT
END:VCALENDAR