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Explore a lecture on non-commutative abelian surfaces and generalised Kummer varieties presented by Arend Bayer at the Hausdorff Center for Mathematics. Delve into the intriguing contrast between polarised abelian surfaces and their derived categories, examining the dimensional differences in their deformation spaces. Discover the construction of four-dimensional families of categories that address this discrepancy and their connection to generalized Kummer varieties (GKVs). Learn about the application of Bridgeland stability conditions to these categories and how they relate to polarised GKVs. Investigate the novel approach of obtaining these categories through Z/2-actions on derived categories of K3 surfaces. Gain insights into this collaborative research effort with Alex Perry, Laura Pertusi, and Xiaolei Zhao during this hour-long presentation.
