Kuo-Tsai
Chen Celebration
Thursday, April 14, 2005
A tea
and prize presentation will be held at 3 p.m. in 321 Altgeld Hall.
Richard
Hain
Duke University
An introduction to Chen's Iterated Integrals
2 p.m., 245
Altgeld Hall
In this talk, I will give an elementary introduction to
Chen's iterated integrals and de Rham Theorem for the fundamental group. I will also explain how multiple zeta values occur as
special values of iterated integrals and hint at the arithmetic significance of this occurrence.
and
Alexander
Goncharov
Brown University
The Hopf Algebra of Iterated Integrals on the Complex Projective Line
4 p.m.,
245 Altgeld Hall
The iterated
integrals on a manifold form a commutative algebra. We upgrade the iterated
integrals on the complex projective line to more sophisticated motivic
iterated integrals, and show that they form a (non-cocommutative) Hopf
algebra. We will discuss some applications of the Hopf algebra structure
in arithmetic and analysis. |
