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>