Giovanni Landi
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Research
Scientific activity: ( noncommutative ) differential topology and geometry, Hopf algebras, quantum groups, ...
Main lines of research:
noncommutative manifolds (construction of metric and spin structures, vector and principal bundles),
harmonic analysis on noncommutative manifolds (Dirac and Laplace operators, index theorems),
noncommutative gauge theories (duality equations, constructions of solutions, study of moduli spaces),
Hopf algebras and quantum groups (as noncommutative manifolds, their use as generalized symmetries),
...
Publications
My book: An Introduction to Noncommutative Spaces and their Geometries
(send me an email if you need a free electronic copy)
My profile at Google Scholar
My arXived papers at arXiv
A subcollection of my paper as listed at SLAC-SPIRES
My coworkers
PhD Students
Lucio Cirio : Symmetries of noncommutative spaces and equivariant cohomology
(SISSA-Trieste, October 2008)
Francesco D'Andrea : Noncommutative geometry and quantum group symmetries
(SISSA-Trieste, October 2007)
Chiara Pagani : Quantum principal bundles and instantons
(SISSA-Trieste, November 2005)
Walter D. van Suijlekom : The geometry of noncommutative spheres and their symmetries
(SISSA-Trieste, October 2005)
Pasquale Siniscalco : A finite quantum symmetry from A(SLq(2)) at a cubic root of unity
(SISSA-Trieste, November 1997)
Editorial Work
Journal of Geometry and Physics (Associate Editor and Member of the Editorial Board)
Journal of Noncommutative Geometry (Member of the Editorial Board)
Letters in Mathematical Physics (Member of the Editorial Board)
Symmetry, Integrability and Geometry: Methods and Applicazions (Member of the Editorial Board)
Advances in Mathematical Physics (Member of the Editorial Board)
International Journal of Geometric Methods in Modern Physics (Member of the Editorial Board)
Teaching/Didattica
a.a. 2012-2013:
Geometria (primo semestre ingegneria):
tutte le informazioni sono qui;
in particolare il programma e le dispense sono qui mentre le date degli appelli sono qui.