Abstract:

The configuration space associated to a space X and an integer n is simply X^n - all large diagonals. What happens when instead of all large diagonals, we only remove some large diagonals? For example, we could remove points where two adjacent coordinates are equal. When X is an algebraic variety, this leads to the motivic fundamental group as constructed by Deligne-Goncharov.  When X is a finite set of points one gets Potts models. As periods one finds generalizations of iterated integrals and multiple polylogarithms. The Connes-Kreimer hopf algebra of rooted trees appears as group law when one considers composition of paths for generalized iterated integrals.

Tee/Kaffee/Gebäck
ab  16:45 Uhr,
Arnimallee 3,  Raum 006

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Koordinator:  Prof. Dr. Alexander Schmitt

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