|Date||Nov 27, 2017|
Thurston's hyperbolic Dehn surgery theorem says that if M is a cusped hyperbolic three dimensional manifold then almost all Dehn fillings of M admit a hyperbolic structure. However, the hyperbolic Dehn filling is impossible for dimension bigger than three. In this talk, I will give the first examples of cusped hyperbolic four dimensional manifolds whose Dehn fillings admit a convex real projective structure. Joint work with Suhyoung Choi and Ludovic Marquis.