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SUMMARY:Graviton scattering and differential equations in automorphic form
s
DTSTART;VALUE=DATE-TIME:20210531T120000Z
DTEND;VALUE=DATE-TIME:20210531T131500Z
DTSTAMP;VALUE=DATE-TIME:20230325T161142Z
UID:indico-contribution-5740@indico.ipmu.jp
DESCRIPTION:Speakers: Kim Klinger-Logan (Rutgers)\nGreen\, Russo\, and Van
hove have shown that the scattering amplitude for gravitons (hypothetical
particles of gravity represented by massless string states) is closely rel
ated to automorphic forms through differential equations. Green\, Miller\,
Russo\, Vanhove\, Pioline\, and K-L have used a variety of methods to sol
ve eigenvalue problems for the invariant Laplacian on different moduli spa
ces to compute the coefficients of the scattering amplitude of four gravit
ons. We will examine two methods for solving the most complicated of these
differential equations on $SL_2(\\mathbb{Z})\\backslash\\mathfrak{H}$. Ti
me permitting\, we will discuss recent work with S. Miller to improve upon
his original method for solving this equation.\n\nhttps://indico.ipmu.jp/
event/387/contributions/5740/
LOCATION:Online
URL:https://indico.ipmu.jp/event/387/contributions/5740/
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