Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lectures on non-commutative K3 surfaces, Bridgeland stability, and
  moduli spaces   We survey the basic theory of non-commutative K3 surfaces, with a particular
emphasis to the ones arising from cubic fourfolds. We focus on the problem of
constructing Bridgeland stability conditions on these categories and we then
investigate the geometry of the corresponding moduli spaces of stable objects.
We discuss a number of consequences related to cubic fourfolds including new
proofs of the Torelli theorem and of the integral Hodge conjecture, the
extension of a result of Addington and Thomas and various applications to
hyperk\"ahler manifolds.
  These notes originated from the lecture series by the first author at the
school on "Birational Geometry of Hypersurfaces", Palazzo Feltrinelli -
Gargnano del Garda (Italy), March 19-23, 2018.

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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
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The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
20
The categories of this paper are: acc-phys