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TZID:Europe/Berlin
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UID:2248@qft.physik.hu-berlin.de
DTSTART;TZID=Europe/Berlin:20250115T133000
DTEND;TZID=Europe/Berlin:20250115T143000
DTSTAMP:20250108T111830Z
URL:https://qft.physik.hu-berlin.de/next-seminars/johannes-broedel-eth-zur
 ich/
SUMMARY:Johannes Broedel (ETH\, Zurich) - 
DESCRIPTION:Speaker: Johannes Broedel\n\nTitle:Higher-genus special functio
 ns for sophisticated Feynman calculations\n\nAbstract: While polylogarithm
 s -- understood as iterated integrals on the compactified complex plane --
  are the backbone of modern amplitude calculations\, it pays off to to con
 sider polylogarithms defined on elliptic and higher manifolds: in this way
 \, various parameters of the scattering amplitude can be related to the ge
 ometry of the underlying manifold. I will show\, how the underlying geomet
 ry affects and implies available algebraic and analytic tools for classes 
 of polylogarithmic functions defined on Riemann surfaces of various genera
 . In particular\, I will discuss how to express higher-genus polylogarithm
 s in terms of well-known elliptic polylogarithms. This language\, which ut
 ilizes the so-called Kronecker function\, can be employed to numerically e
 valuate higher-genus polylogarithms\, thus allowing their use in sophistic
 ated Feynman calculations.
CATEGORIES:Pizza Seminars
LOCATION:Room 1.221\, IRIS building\, Zum großen Windkanal 6\, Berlin\, 12
 489\, Germany
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Zum großen Windkanal 6\, B
 erlin\, 12489\, Germany;X-APPLE-RADIUS=100;X-TITLE=Room 1.221\, IRIS build
 ing:geo:0,0
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DTSTART:20241027T020000
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TZOFFSETTO:+0100
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