Small Ball Inequalities in Analysis, Probability and Irregularities of Distribution December 8 to December 12, 2008 American Institute of Mathematics, Palo Alto, CA Organizers: William Chen, Michael Lacey, Mikhail Lifshits, and Jill Pipher Description: This workshop, sponsored by AIM and the NSF, will be devoted to a theme common to Irregularity of Distributions, Approximation Theory, Probability Theory and Harmonic Analysis. In each of these subjects, there are outstanding conjectures in dimensions three and higher that stipulate that functions which satisfy certain conditions on its mixed derivative are necessarily large in sup norm. This workshop will survey these conjectures, seeking both commonalities and differences, describe recent advances, and discuss proof techniques and strategies. Deadline: August 8, 2008 Details: http://aimath.org/ARCC/workshops/smallballineq.html