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Schl\"afli function and iterated integrals
Colloquium| Speaker: | Toshitake Kohno, University of Tokyo |
| Location: | 693 Kerr |
| Start time: | Mon, Oct 11 2004, 4:10PM |
It is a well known fact due to Lobachevsky that the volume of a hyperbolic 3-simplex is expressed by dilogarithmic function. In this talk I will discribe in a more general situation a method to express hyperbolic volumes in terms of iterated integrals of logarithmic forms based on the idea of Aomoto. I will also discuss a relation to hypergeometric integrals associated with certain hyperplane arrangements.