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On noncommutative cubic surfaces and their moduli

Tarig Abdelgadir
Luigi Stasi Seminar Room, ICTP
Wednesday, November 21, 2018 - 14:30

This is based on joint work with Shinnosuke Okawa and Kazushi Ueda. The zero loci of a cubic equations in three dimensional projective space are pretty cool! As varieties, they may be deformed in four directions. However, they may also be deformed as "noncommutative" spaces in an extra four dimensions. Here we realise these noncommutative deformations as certain quiver algebras. We then go on to study their moduli and compare them to existing theories of noncommutative cubic surfaces. Time permitting we will discuss generalisations of these ideas to other del Pezzo surfaces.

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