Bridgeland Stability and Applications

The CIMPA school "Bridgeland Stability and Applications" will be held at the Universidade Federal de Santa Catarina from July 28 to August 8, 2025

The primary focus of this school is the theory of "Bridgeland stability conditions", which is one of the most fruitful and active research areas in moduli theory nowadays. The school's objectives are twofold: firstly, to provide participants (a public mainly composed by PhD students, but also interested Master students and Post-docs) with the basic knowledge required to understand and work with this subject, and secondly, to illustrate its applications to other topics in algebraic geometry (with connections to Mathematical Physics and Differential Geometry).

In order to meet these objectives, the school is divided as follows: during the first week, the students will be provided with the necessary background including the classical theory of Moduli Spaces, Derived Categories, Geometric Invariant Theory and Quivers; during the second week, together with the general theory of Bridgeland Stability Conditions the students will learn about applications to Instantons, Invariants in Algebraic Geometry and HyperKähler Varieties.

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Scientific program is available on the local website of the school:
https://sites.google.com/view/bridgelandstabilitycimpa/

Official language of the school: english