Zhengyi Zhou (Institute for Advanced Study, Princeton): (RP^{2n-1}, xi_{std}) is not exactly fillable for n \ne 2^k.

Abstract:

I will show that 2n-1 dimensional real projective space is not exactly fillable when n is not a power of 2. Then I will prove that there exist strongly fillable but not exactly fillable contact manifolds in all dimensions greater than 3.