Dapeng Mu in research grants and scholarships supported by FAPESP.
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Moduli theory has been a central theme in Algebraic Geometry. To construct moduli spaces, one usually needs the concept of stability conditions. Motivated by the work in string theory, Bridgeland introduced the stability conditions on a triangulated category and proposed the existence of a stability manifold. Moreover, there exists a locally finite wall and chamber structure on this manif…
I am planning to work on two projects on stability conditions, which are both following my Ph.D. work. The first one is to generalize the Euler stability in my thesis to other varieties, especially the ones with strong exceptional collections. Currently, the most common construction is by tilting the heart,which becomes too complicated to handle on a variety with dimensions greater than 3…
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