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Fundamental groups of projective varieties


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.