T-duality and exceptional generalized geometry through symmetries of dg-manifolds

I will explain how to obtain the T-duality isomorphism discovered by Peter Bouwknegt, Jarah Evslin, and Varghese Mathai in 2004 from the point of view of dg-manifolds. As a byproduct of this approach, one can recover the exceptional $B_n$ generalized geometry defined recently by Baraglia as the derived dg-Leibniz algebra of the fixed points of the T-dual automorphism acting on the symmetries of a self T-dual dgmanifold.