Posted in
Speaker:
Herbert Gangl
Affiliation:
U of Durham/MPIM
Date:
Tue, 10/03/2015 - 14:00 - 15:00
Location:
MPIM Lecture Hall
Parent event:
Seminar on Algebra, Geometry and Physics In the early nineties, Goncharov proved the weight 3 case of Zagier's Conjecture stating that the special value $\zeta_F(3)$ of a number field $F$ is essentially expressed as a determinant of trilogarithm values taken in that field. He also envisioned a vast--partly conjectural--programme of how to approach the conjecture for higher weight. We can remove one important roadblock in weight~4 by solving one of Goncharov's conjectures. It further allows us to deduce a functional equation for $Li_4$ in four variables as one expects to enter in a more explicit definition of a certain algebraic $K$-group.
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |