Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
Chand Devchand (MPI Potsdam)
The Yang-Mills (YM) equations have yielded a fascinating supply of novel results in mathematics. As PDEs these equations are rather well understood in dimensions four and below. For higher dimensions there are very few precise results.
In this talk I shall discuss some ideas about solving the YM equations on manifolds of dimension greater than four.