Joint IAS/PU Number Theory

Multiple Zeta Values

Francis Brown
CNRS/Institut de Math. de Jussieu, Paris
April 19, 2012

I will report on some recent work on multiple zeta values. I will sketch the definition of motivic multiple zeta values, which can be viewed as a prototype of a Galois theory for certain transcendental numbers, and then explain how they were used to prove a conjecture due to Hoffman giving a generating family for multiple zeta values, and a conjecture of Deligne and Ihara on the fundamental group of the projective line minus 3 points.