Topology Seminar: Convex real projective Dehn fillings

Seminar | March 9 | 4:10-5 p.m. | 3 Evans Hall

 Gye-Seon Lee, Ruprecht-Karls-Universität Heidelberg

 Department of Mathematics

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.