Convex real projective Dehn filling

Hyperbolic Dehn filling theorem proven by Thurston is a fundamental theorem of hyperbolic 3-manifold theory, but it is not true anymore in dimension > 3. Since hyperbolic geometry is a sub-geometry of convex real projective geometry, it is natural to ask whether Thurston’s Dehn filling theory for hyperbolic 3-manifolds can generalize to convex real projective manifolds in any dimension. In this talk, I will give evidence towards a positive answer to the question.  Joint work with Suhyoung Choi and Ludovic Marquis.

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