Browsing 2012 by MFO Scientific Program "Research in Pairs 2012"
Now showing items 1-11 of 11
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Contractive Idempotents on Locally Compact Quantum Groups
[OWP-2012-19] (Mathematisches Forschungsinstitut Oberwolfach, 2012)A general form of contractive idempotent functionals on coamenable locally compact quantum groups is obtained, generalising the result of Greenleaf on contractive measures on locally compact groups. The image of a convolution ... -
Ghost Algebras of Double Burnside Algebras via Schur Functors
[OWP-2012-09] (Mathematisches Forschungsinstitut Oberwolfach, 2012-07-03)For a finite group $G$, we introduce a multiplication on the $\mathbb{Q}$-vector space with basis $\mathscr{S}_{G\times G}$, the set of subgroups of ${G \times G}$. The resulting $\mathbb{Q}$-algebra $\tilde{A}$ can be ... -
Invariant Four-forms and Symmetric Pairs
[OWP-2012-03] (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)We give criteria for real, complex and quaternionic representations to define $s$-representations, focusing on exceptional Lie algebras defined by spin representations. As applications, we obtain the classification of ... -
K-Triviality, Oberwolfach randomness, and differentiability
[OWP-2012-17] (Mathematisches Forschungsinstitut Oberwolfach, 2012-12-21)We show that a Martin-Lof random set for which the effective version of the Lebesgue density theorem fails computes every $K$-trivial set. Combined with a recent result by Day and Miller, this gives a positive solution to ... -
Module Categories for Group Algebras over Commutative Rings
[OWP-2012-12] (Mathematisches Forschungsinstitut Oberwolfach, 2012-10-01)We develop a suitable version of the stable module category of a finite group $G$ over an arbitrary commutative ring $k$. The purpose of the construction is to produce a compactly generated triangulated category whose ... -
Polynomiality, wall crossings and tropical geometry of rational double hurwitz cycles
[OWP-2012-13] (Mathematisches Forschungsinstitut Oberwolfach, 2012-12-04)We study rational double Hurwitz cycles, i.e. loci of marked rational stable curves admitting a map to the projective line with assigned ramification profiles over two fixed branch points. Generalizing the phenomenon ... -
Rate of Convergence of the Density Estimation of Regression Residual
[OWP-2012-08] (Mathematisches Forschungsinstitut Oberwolfach, 2012)Consider the regression problem with a response variable $Y$ and with a $d$-dimensional feature vector $X$. For the regression function $m(x) = \mathbb{E}\{Y|X = x\}$, this paper investigates methods for estimating the ... -
Spatial-Skin Effect for a Spectral Problem with "Slightly Heavy" Concentrated Masses in a Thick Cascade Junction
[OWP-2012-10] (Mathematisches Forschungsinstitut Oberwolfach, 2012-07-03)The asymptotic behavior (as $\varepsilon \to 0$) of eigenvalues and eigenfunctions of a boundary- value problem for the Laplace operator in a thick cascade junction with concentrated masses is studied. This cascade junction ... -
Strongly Consistent Density Estimation of Regression Redidual
[OWP-2012-07] (Mathematisches Forschungsinstitut Oberwolfach, 2012)Consider the regression problem with a response variable $Y$ and with a $d$-dimensional feature vector $X$. For the regression function $m(x) = \mathbb{E}\{Y|X = x\}$, this paper investigates methods for estimating the ... -
A Uniform Model for Kirillov-Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph
[OWP-2012-18] (Mathematisches Forschungsinstitut Oberwolfach, 2012)We consider two lifts of the parabolic quantum Bruhat graph, one into the Bruhat order in the affine Weyl group and the other into a level-zero weight poset first considered by Littelmann. The lift into the affine Weyl ... -
Weakly Complex Homogeneous Spaces
[OWP-2012-04] (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)We complete our recent classification of compact inner symmetric spaces with weakly complex tangent bundle by filling up a case which was left open, and extend this classification to the larger category of compact homogeneous ...