People

Francesco Sala
Position
Visiting Associate Scientist (from 2020/01/01 )
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Other Affiliation
MATHEMATICS DEPARTMENT, University of Pisa

Research Field
Mathematics
E-Mail
<francesco.sala _at_ unipi.it> 
URL
http://www.dm.unipi.it/webnew/it/users/francesco-sala
PHOTO

Last Update 2021/04/12

My research interests are geometric representation theory, algebraic geometry, and mathematical physics. At the moment I am studying algebraic structures (called Hall algebras structure) on the homology (G-theory, etc) of moduli stacks parametrizing objects in 2-dimensional CY categories. In particular, I have already defined, together with O. Schiffmann, a cohomological Hall algebra for the moduli stack of Higgs sheaves (nilpotent or not, semistable or not) on a smooth projective curve. When the curve is the projective line, such algebras are related to the cohomology of moduli spaces of torsion-free sheaves on resolutions of A-type toric singularities and Nakajima cyclic quiver varieties. This yields to applications in physics, most notably in four-dimensional supersymmetric gauge theories on A-type ALE spaces and the AGT conjecture for these theories.


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