to get in touch, please visit the agenda of Mathematical Physics′ activities
noncommutativegeometry.nl, noncommutative Geometry and particle Physics blog.
Research topics
- Dirac operators on quantum homogeneous spaces, construction of spectral triples, and applications to models in mathematical physics.
- Noncommutative generalization of Borsuk-Ulam and Brouwer fixed-point theorems, and non-contractibility of compact quantum groups.
- Index theory, invariants of elliptic operators, applications of noncommutative geometry and KK-theory (bounded and unbounded) to the study of the geometry and topology of manifolds.
- ADHM construction of noncommutative instatons in SUq(2) gauge theories. Non commutative moduli spaces.
- Representations of SUq(2) at roots of unity and extensions of the spin covering with applications to exotic statistics.
Research Group
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Ludwik Dabrowski, Professor
Visiting Professors
Main External Collaborators
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Giovanni Landi, Università degli Studi di Trieste
Links
Weekly seminar of the group of Noncommutative Geometry, SISSA and Università di Trieste. Noncommutative geometry, a blog on noncommutative Geometry.noncommutativegeometry.nl, noncommutative Geometry and particle Physics blog.