Approximability in noncommutative flavors of algebraic geometry

Pat Lank (Università degli Studi di Milano)

Tuesday 11th March 15:00-16:00 Maths 311B

Abstract

Recently, two significant conjectures have been resolved using approximable triangulated categories: the Bondal-Van den Bergh conjecture and the Antieau-Gepner-Heller conjecture. This talk, which is joint work with De Deyn and Manali Rahul, will highlight recent developments in applying the theory of approximability (à la Neeman) to noncommutative flavors of algebraic geometry. The focus will be on derived categories arising from noncommutative coherent algebras over a scheme. Our work, both present and ongoing, yields a noncommutative generalization of both conjectures, which paves the way to better understanding the structure of such categories in this setting.

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