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Deformations of stability conditions

Recent Developments in Noncommutative Algebraic Geometry April 08, 2024 - April 12, 2024

April 12, 2024 (09:15 AM PDT - 10:15 AM PDT)
Speaker(s): Emanuele Macri (Université Paris-Saclay)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Deformations of stability conditions


Bridgeland stability conditions have been introduced about 20 years ago, with motivations both from algebraic geometry, representation theory and physics. One of the fundamental problem is that we currently lack methods to construct and study such stability conditions in full generality.

In this talk I would present a new technique to construct stability conditions by deformations, based on joint works with Li, Perry, Stellari and Zhao. As application, we can construct stability conditions on very general abelian varieties and deformations of Hilbert schemes of points on K3 surfaces, and we prove a conjecture by Kuznetsov and Shinder on quartic double solids.

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Deformations of stability conditions

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