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Nef cones of Hilbert schemes of points via Bridgeland stability

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  • UserBarbara Bolognese (Sheffield)
  • ClockWednesday 21 February 2018, 14:15-15:15
  • HouseCMS MR13.

If you have a question about this talk, please contact Caucher Birkar .

Carrying out the Minimal Model Program for moduli spaces is a classical and extremely challenging problem. In this talk, we will deal with a particular moduli space, namely the Hilbert scheme of points on a surface with irregularity zero. After explaining the connection between the birational models of a variety and the combinatorics of its Nef cone, we will show how Bridgeland stability conditions are a powerful machinery to produce extremal rays in the Nef cone of the Hilbert scheme. Time permitting, we will give a complete description of the Nef cone in some examples of low Picard rank. This is joint work with J. Huizenga, Y. Lin, E.Riedl, B. Schmidt, M. Woolf and X. Zhao.

This talk is part of the Algebraic Geometry Seminar series.

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