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Category Theory and its Applications
March 30, 2018 15:30–17:00, Moscow, International laboratory for Mirror Symmetry and Automorphic Forms, 6 Usacheva ul.
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On the definition of noncommutative del Pezzo surfaces
Shinnosuke Okawa Osaka University
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Abstract:
Noncommutative projective planes and noncommutative quadrics have
clear definitions as the category qgr of 3-dimensional
Artin-Schelter regular quadratic (resp. cubic) Z-algebras. Other
noncommutative del Pezzo surfaces lack a definition of this sort,
but are constructed by blowing up noncommutative projective planes.
In this talk I will talk about an attempt toward a definition of
noncommutative del Pezzo surfaces without using blowups. This is a
joint work in progress with Tarig Abdelgadir and Kazushi Ueda.
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