Return to Colloquia & Seminar listing

### Fundamental groups of projective varieties

**Geometry/Topology**

Speaker: | Misha Kapovich, UC Davis |

Location: | 2112 MSB |

Start time: | Tue, Apr 19 2016, 1:10PM |

There are many restrictions on fundamental groups of smooth complex projective varieties. In my talk I will prove that every finitely presented group appears as the fundamental group of an (irreducible) complex projective variety with normal crossing singularities, answering a question by Carlos Simpson. The proof relies upon interaction between algebraic geometry, 3-dimensional topology and hyperbolic geometry.