The  Weizmann  Institute  of  Science
                  Faculty of Mathematics and Computer Science
 
              Algebraic Geometry and Representation Theory Seminar
 
                    Seminar Room, Room 261, Ziskind Building
                            on Monday, March 7, 2011
                                    at 11:00
 
                                 Amnon Yekutieli
                             Ben Gurion University
 
                                 will speak on
 
               Nonabelian Multiplicative Integration on Surfaces
 
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://arxiv.org.>
 
---------------------------------------------------------
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Diana Mandelik   <diana.mandelik@weizmann.ac.il>