All,

Grothendieck claimed that his "standard conjectures" imply the Weil
conjectures. He showed the proof to a class that he taught one summer
in the 1960's and he asked one of his students, Kleiman, to write it
up and publish it. Kleiman did just that an dpublished it in 1968.

I'm having trouble understanding how the standard conjectures imply
the Weil conjectures. Can anybody help me out here?

(Notes for students: 1) That's Alexander Grothendieck and Andre Weil.
Weil is pronounced like as if it was spelled "vay" and rhymied with
"way." 2) If you don't have a clue what I'm talking about and you
would like to, here's the wikipedia page. Wikipedia also has excellent
pages on "motifs" or "motives" that I mention further down.)

http://en.wikipedia.org/wiki/Standar...gebraic_cycles

All the literature I've been able to find refers to Kleiman's original
1968 paper "for the details" and as far as I can tell, none of the
literature I've found so far even gives a hint as to how one might do
such a derivation.