Cohomological methods in geometry and Lie theory
Research focus
The Peer review has evaluated this group as Good
The group has worked in the following three research areas, which have in common the application of algebraic methods, in particular of homological algebra and representation theory, to geometric problems: Lie algebras: Applications of Lie algebra cohomology [M1], structure of Lie algebras and affine Weyl groups [O1],[O2], representation theory [M2],[J1]. Hypercomplex analysis: application of cohomological methods and computational algebra to hypercomplex analsysis; complexes of several Dirac operators. [M3], [M4], [J5], [J6], [J7], [BC1],[O5]. Algebraic geometry: Hilbert schemes of space curves [M5], [J9]; monodromy of projections of algebraic curves[M6], [J10]; Gorenstein liaison in codimension three [O3], Algebraic cycles and Hodge Theory [O4]. A new topic of interest is the Mc Kay correspondence, in relation with the Ph. D. thesis project of the doctoral student Compagnoni, where ideas from algebraic geometry, representation theory and string theory come together.
Dipartimento di afferenza
Docenti afferenti
Associate Professors
Pierluigi Moseneder Frajria
Enrico Schlesinger
Assistant Professors
Irene Sabadini