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On Local Combinatorial Formulas for Chern Classes of Triangulated Circle Bundle
[OWP-2016-16] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)
Principal circle bundle over a PL polyhedron can be triangulated and thus obtains combinatorics. The triangulation is assembled from triangulated circle bundles over simplices. To every triangulated circle bundle over a ...
Killing Tensors on Tori
[OWP-2016-20] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-10)
We show that Killing tensors on conformally at n-dimensional tori whose conformal factor only depends on one variable, are polynomials in the metric and in the Killing vector fields. In other words, every first integral ...
On the L2 Markov Inequality with Laguerre Weight
[OWP-2016-15] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)
On Weak Weighted Estimates of Martingale Transform
[OWP-2016-22] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-12)
We consider several weak type estimates for singular operators using the Bellman function approach. We disprove the A1 conjecture, which stayed open after Muckenhoupt-Wheeden's conjecture was disproved by Reguera-Thiele.
Boundary Representations of Operator Spaces, and Compact Rectangular Matrix Convex Sets
[OWP-2016-24] (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-13)
We initiate the study of matrix convexity for operator spaces. We define the notion of compact rectangular matrix convex set, and prove the natural analogs of the Krein-Milman and the bipolar theorems in this context. We ...
Totally Acyclic Complexes
[OWP-2016-14] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)
We prove first (Proposition 3) that, over any ring R, an acyclic complex of projective modules is totally acyclic if and only if the cycles of every acyclic complex of Gorenstein projective modules are Gorenstein projective. ...
Analytic Structure in Fibers
[OWP-2016-13] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)
Let BX be the open unit ball of a complex Banach space X, and let H∞(BX) and Au(BX) be, respectively, the algebra of bounded holomorphic functions on BX and the subalgebra of uniformly ...
Getzler rescaling via adiabatic deformation and a renormalized local index formula
[OWP-2016-18] (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
We prove a local index theorem of Atiyah-Singer type for Dirac operators on manifolds with a Lie structure at infinity (Lie manifolds for short). After introducing a renormalized supertrace on Lie manifolds with spin ...
Dirichlet Approximation and Universal Dirichlet
[OWP-2016-12] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-16)
We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge, Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and ...
Tensor Representations of q(∞)
[OWP-2016-09] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
We introduce a symmetric monoidal category of modules over the direct limit queer superalgebra q(∞). The category can be defined in two equivalent ways with the aid of the large annihilator condition. ...