Algebraic structures, Chern numbers and Minimal Model Program

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• Luca Tasin (Bonn)
• Wednesday 20 January 2016, 14:15-15:15
• CMS MR4.

If you have a question about this talk, please contact Dr. J Ross.

In 1952, Hirzebruch posed the question about the topological invariance of Chern numbers of complex projective varieties. D. Kotschick in 2012 solved the problem and asked the following question: which Chern numbers are determined up to finite ambiguity by the underlying smooth manifold?

We will show that in dimension higher than 3 only few Chern numbers are bounded by the underlying manifold. Then we will analyse the 3-dimensional case, where the minimal model program plays a major role in our approach to this problem.

This talk is part of the Algebraic Geometry Seminar series.

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