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On the bounded negativity conjecture

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Piotr Pokora (Mainz)

  • SFB-Kolloquium
When Oct 29, 2015
from 03:30 pm to 04:30 pm
Where Mainz, 05-432 (Hilbertraum)
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Abstract. In my talk I would like to present an outline of recent developments on the bounded negativity conjecture. In the first part I will introduce the notion of Harbourne constants and I will present  effective bounds for these constant for some classes of algebraic surfaces, mostly for blow ups of the complex projective plane. Secondly, I will show that, somehow surprisingly, the bounded negativity can be studied from the perspective of Zariski decompositions. If time will permit, I would like also to say a few words about the geography problem of surfaces of general type related to the bounded negativity problem.