Assuming the standard conjectures (and whatever is needed in addition), is there a nice proof of the Weil-conjectures written completely in the language of motives?
It is well known that Grothendieck had a different idea than Deligne about how one should go about proving the Riemann hypothesis for finite fields. However, since Grothendieck's desired proof never ...
Why is the zeta function of a variety over a finite field not a polynomial? (question about motives)
I've been doing some light(?) reading on motives and the standard conjectures in an attempt to put various things that I tangentially know in perspective. The question is this: the Weil conjectures ...
This is a question meant as a first step to get into reading more on Weil conjectures and standard conjectures. It is known that the standard conjectures on vanishing of cycles would imply the Weil ...