Descent of affine buildings - II. Minimal angle \pi/3 and exceptional   quadrangles
  In this two-part paper we prove an existence result for affine buildings arising from exceptional algebraic reductive groups. Combined with earlier results on classical groups, this gives a complete and positive answer to the conjecture concerning the existence of affine buildings arising from such groups defined over a (skew) field with a complete valuation, as proposed by Jacques Tits.   This second part builds upon the results of the first part and deals with the remaining cases. 
Koen Struyve
math.MG math.CO