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Invariants in low dimensional geometry & topology
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superfish - inv3d
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Inscription to the La Llagonne workgroup on l2 invariants
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(Currently we don't know if there will be enough funding to support some participants)
Current status (M2 student, Ph.D. fellow, post-doc, researcher, professor...)
I can give one of the following talks
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1.a Reidemeister torsion
1.b Whitehead torsion
1.c Alexander polynomials for knots, 3–manifolds and beyond
1.d Simplicial and hyperbolic volumes
2.a Group von Neumann algebras and dimension functions
2.b L2-Betti numbers and the spectral theory of the combinatorial Laplacian
2.c Novikov-Shubin invariants
2.d The Fuglede-Kadison determinant and L2-torsion
2.e L2-invariants of 3–manifolds
3.a L2-Alexander torsion for knots
3.b Lück’s theorem about the L2-Betti numbers and conjectures
3.c Growth of homology torsion in finite abelian coverings and Mahler measure
3.d Growth of homology torsion in finite coverings and the hyperbolic volume
4.a Heat kernels on compact manifolds, de Rham–Hodge theory
4.b Decay of heat kernels on cocompact manifolds, analytic L2-Betti num- bers and analytic Novikov-Shubin invariants
4.c Analytic torsion and L2-analytic torsion, statement of the Cheeger–Müller theorem
4.d Calculation of the L2-torsion for 3-manifolds
I prefer not to give talks, but I'd like to participate anyway
(Please select all the talks which could be suitable for you : keep in mind that some talks might be more selected than others and we will have to attribute them all... )
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