Sarnak's conjecture

December 10 to December 14, 2018

at the

American Institute of Mathematics, San Jose, California

organized by

Mariusz Lemanczyk and Maksym Radziwill

Original Announcement

This workshop will be devoted to the recent progress on Chowla and Sarnak's conjecture. Chowla's conjecture postulates the lack of correlation of the Liouville function with its shifts and is widely seen as an analogue of the twin prime conjecture. Sarnak's conjecture asserts that the Liouville function is asymptotically orthogonal to any sequence of topological entropy zero. In recent years it has emerged that the two conjectures are deeply related and indeed a large amount of progress has been made on both in tandem. We are at a stage in which it appears that both conjectures are within grasp, perhaps with a few new ideas. The objective of the workshop is to highlight where we stand on those questions and to chart a path for their proofs.

The main topics for the workshop are

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.