Francesco Sala

Last Update 2018/01/25
My research interests are algebraic geometry, geometric representation theory, and mathematical physics. At the moment I study different realizations of Hall algebras and their refined versions (Ktheoretical/cohomological) by using (Higgs) sheaves on curves. One can construct geometric representations of these algebras by using the Ktheory/cohomology of moduli spaces of torsion free sheaves on resolutions of Atype toric singulaties and Nakajima cyclic quiver varieties. This yields
to applications in physics, most notably in four dimensional supersymmetric gauge theories on Atype ALE spaces and the AGT conjecture for these theories.
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