25 - Motivating Motives previous next

In 1995, Manin outlined a dream of proving the actual Riemann Hypothesis by generalizing motives to the mystical "field with one element":

• Yuri Manin, Lectures on zeta functions and motives.

Connes has been trying to prove the Riemann Hypothesis using these ideas.
An early report, also from 1995, is his book:

• Alain Connes, Noncommutative Geometry, Quantum Field Theory and Motives.