7
votes
1answer
601 views

How does the conjectural Langlands group fit into the Tannakian point of view?

I've read that one way to formulate the Langlands program is the following: Let $\mathcal{L}_ {\mathbb{Q}}$ be the conjectural Langlands group. Then the category of semi-simple (continuous) ...
9
votes
1answer
749 views

Why would the category of Motives be Tannakian?

After reading the answer to my previous question: What are the different theories that the motivic fundamental group attempts to unify? I decided to read up on Tannakian formalism. Given the ...
7
votes
1answer
799 views

commutativity constraint in Grothendieck's motives

This is a basic question about Grothendieck's conjectural category $M_k$ of pure motives (over a field $k$). This construction first produces a category (the "false category of motives") which need ...