Tel Aviv University Colloquium Hello everyone, The next colloquium talk will be held on Monday, 28/2/2011, 12:15, Schreiber 006, Tel Aviv University. The speaker is Amnon Yekutieli (Ben Gurion University) and the title of his talk is Nonabelian Multiplicative Integration on Surfaces 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: Nonabelian multiplicative integration on curves is a classical theory, going back to Volterra in the 19-th century. In differential geometry this operation can be interpreted as the holonomy of a connection along a curve. This talk is about the 2-dimensional case. A rudimentary nonabelian multiplicative surface integration was known since the 1920's (work of Schlesinger). I will present a much more sophisticated construction. My main result is a 3-dimensional nonabelian Stokes Theorem. This result is completely new; only a special case of it was predicted (without proof) in papers in mathematical physics. The talk is fairly elementary, requiring only some knowledge of Lie groups and their Lie algebras. And there are many color pictures! My motivation for this work has to do with a problem in twisted deformation quantization. I will say a few words about this at the end of the talk. For full details see the lecture notes <http://www.math.bgu.ac.il/~amyekut/lectures/multi-integ/notes.pdf> or the preprint arXiv:1007.1250 at <http://arix.org.> --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Bo'az Klartag <klartagb@post.tau.ac.il>