Now showing items 21-40 of 374

• #### Asymptotic behavior of the eigenvalues and eigenfunctions to a spectral problem in thick cascade junction with concentrated masses ﻿

[OWP-2011-12] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-14)
The asymptotic behavior (as $\varepsilon \to 0$) of eigenvalues and eigenfunctions of a boundaryvalue problem for the Laplace operator in a thick cascade junction with concentrated masses is investigated. This cascade ...
• #### Averages of Shifted Convolutions of d3(n) ﻿

[OWP-2011-11] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-13)
We investigate the first and second moments of shifted convolutions of the generalised divisor function $d_3(n)$.
• #### The Becker-Gottlieb Transfer: a Geometric Description ﻿

[OWP-2019-13] (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-14)
In this note, we examine geometric aspects of the Becker-Gottlieb transfer in terms of the Umkehr and index maps, and rework some classic index theorems, using the cohomological formulae of the Becker-Gottlieb transfer. ...
• #### The Berry-Keating Operator on a Lattice ﻿

[OWP-2016-23] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-17)
We construct and study a version of the Berry-Keating operator with a built-in truncation of the phase space, which we choose to be a two-dimensional torus. The operator is a Weyl quantisation of the classical Hamiltonian ...
• #### Birational Rowmotion on a Rectangle over a Noncommutative Ring ﻿

[OWP-2022-17] (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-20)
We extend the periodicity of birational rowmotion for rectangular posets to the case when the base field is replaced by a noncommutative ring (under appropriate conditions). This resolves a conjecture from 2014. The proof ...
• #### Boundary Conditions for Scalar Curvature ﻿

[OWP-2021-01] (Mathematisches Forschungsinstitut Oberwolfach, 2021-01-04)
Based on the Atiyah-Patodi-Singer index formula, we construct an obstruction to positive scalar curvature metrics with mean convex boundaries on spin manifolds of infinite $K$-area. We also characterize the extremal case. ...
• #### 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 ...
• #### Bounded Weight Modules for Basic Classical Lie Superalgebras at Infinity ﻿

[OWP-2022-09] (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-30)
• #### Characterization of Tropical Planar Curves up to Genus Six ﻿

[OWP-2022-06] (Mathematisches Forschungsinstitut Oberwolfach, 2022-03-16)
We provide new forbidden criterion for realizability of smooth tropical plane curves. This in turn provides us a complete classification of smooth tropical plane curves up to genus six.