C O L L O Q U
I U M
Transcendence properties of rational integrals
Professor G. Wüstholz
Eidgenössische
TH ZürichZentrum, Switzerland
& HKUST,
Hong Kong
Abstract
A conjecture of Arnold
which goes back to a conjecture of Leibniz says that rational integrals of holomorphic 1forms on an algebraic variety taken between
two algebraic points are transcendental. The origin of this conjecture is a
lemma in Newton's
Principia for which Leibniz gave a counter example. We shall discuss the
conjecture, put it into a more precise form and state a result which gives the
conjecture. We shall then explain what is known for forms of higher degree and
briefly discuss a conjecture of Grothendieck on the
transcendence degree of fields generated by periods of 1forms over the rationals.
Date:

May 19, 2006 (Friday)

Time:

4:00 – 5:00pm

Place:

Room 517, Meng Wah Complex, HKU

Tea will be held in Room 516, Meng
Wah Complex at 3:40pm
All are welcome
