Recently a post was made in Mathoverflow seeking possible avenues for collaborative projects.
I made a proposal for Log Rank conjecture in https://mathoverflow.net/questions/219638/proposals-for-polymath-projects/219639#219639 which has been well received so far
I feel that this is a good project for collaborative approach.
I know this is a fundamental open problem in CS.
1. Is there a list of possible avenues of research that could open up if progress comes on this topic? For example, I know there are connections to Matrix Rigidity.
2. Could we have a list of possible impact of Log Rank Conjecture and related research in CS?