A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space
  A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space is constructed. The existence of such a space answers a question of B. Maurey and verifies a conjecture of W.T. Gowers. 
G. Androulakis, K. Beanland