CORDIS Project
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This project explores Deformation Theory and Moduli Spaces in algebraic geometry, focusing on the infinitesimal deformations of morphisms of schemes. It aims to develop new mathematical tools to better understand the local behavior of moduli spaces and compute new invariants.
We will look for proving a number of different results in Deformation Theory and Moduli Spaces in algebraic geometry.
In our project, we will mainly use the modern language of algebraic geometry, based on DGLAs and L-infinity algebras.As first objective, we seek to give an explicit description of the DGLA controlling infinitesimal deformations of morphisms of schemes.We will also try to extend this construction to the case of morphisms of stacks.
In particular, we will be dealing with the key c…
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