Description
Back in 2009 H.-T. Yau and J. Yin established a second order upper bound for the ground state energy of dilute Bose gases in the thermodynamic limit, finally in agreement with a elebrated prediction due to Bogoliubov and, in more explicit terms, by Lee, Huang and Yang. In this talk we describe recent ideas allowing us to establish the same result for a larger class of potentials (namely repulsive and compactly supported potentials $V \in L^3(R^3)$), and via a simpler proof. Joint work with G. Basti and B. Schlein.
