@mastersthesis {2016, title = {Frames symplectic sheaves on surfaces and their ADHM data}, year = {2016}, school = {SISSA}, abstract = {This dissertation is centered on the moduli space of what we call framed symplectic sheaves on a surface, compactifying the corresponding moduli space of framed principal SP-bundles. It contains the construction of the moduli space, which is carried out for every smooth projective surface X with a big and nef framing divisor, and a study of its deformation theory. We also develop an in-depth analysis of the examples X = P2 and X = Blp (P2 ), showing that the corresponding moduli spaces enjoy an ADHM-type description. In the former case, we prove irreducibility of the space and exhibit a relation with the space of framed ideal instantons on S4 in type C.}, keywords = {moduli spaces}, author = {Jacopo Vittorio Scalise} }