Tel Aviv University - Colloquium Hello everyone, The next colloquium talk will be held on Monday, 14/3/2011, 12:15, Schreiber 006, Tel Aviv University. The speaker is Michael Cwikel (Technion) and the title of his talk is A simple(?) geometric question with deep consequences for BMO functions The abstract is given below. Tea and coffee at 12:00, same room. Hope to see you there. For information about future colloquiua, see <http://www.math.tau.ac.il/~klartagb/colloq_2010.html> You are all welcome to suggest colloquium speakers, especially for the next academic year. Yours, Bo'az ------------------------- Abstract: I will pose and invite you to solve a seemingly rather simple geometric/combinatoric question. My coauthors and I have discovered that an affirmative answer to this question would have some very interesting consequences in analysis. They relate to the very important function space BMO (of functions of Bounded Mean Oscillation). I will not assume familiarity with BMO, and will briefly survey some of its remarkable properties. Special cases of one of our results give alternative proofs of the celebrated John-Nirenberg inequality for BMO functions. An affirmative answer to the above-mentioned question would lead to a version of the John-Nirenberg inequality with dimension free constants. A more extensive version of this abstract and a first version of our detailed paper etc. are available at <http://www.math.technion.ac.il/~mcwikel/bmo> This is joint work with Yoram Sagher and Pavel Shvartsman. --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Bo'az Klartag <klartagb@post.tau.ac.il>