Services aux conférences Mandl

Résumé: This is the first workshop sponsored by all the US-based Math Institutes and seventh in a series sponsored by the Mathematical Sciences Research Institute on contemporary research in mathematics. Each institute will focus on their upcoming programs for the academic year 2009-2010. All presentations will be expository, intended for mathematical scientists and students not necessarily working in these areas, but interested in learning about new developments and the possibility of spending some time at any of the participating math institutes. We anticipate an audience composed of graduate students, post docs, and mid career faculty. There will be a separate program aimed at undergraduates on Thursday, October 9, 2009

Résumé: 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.