Browsing by Title
Now showing items 1470-1489 of 1984
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On the containment problem
[SNAP-2016-003-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2016)Mathematicians routinely speak two languages: the language of geometry and the language of algebra. When translating between these languages, curves and lines become sets of polynomials called “ideals”. Often there are ... -
On the Derived Category of Grassmannians in Arbitrary Characteristic
[OWP-2013-24] (Mathematisches Forschungsinstitut Oberwolfach, 2013-12-09)In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-known characteristic-zero results we construct dual exceptional collections on them (which are however not strong) as well ... -
On the Directionally Newton-non-degenerate Singularities of Complex Hypersurfaces
[OWP-2008-16] (Mathematisches Forschungsinstitut Oberwolfach, 2008)We introduce a minimal generalization of Newton-non-degenerate singularities of hypersurfaces. Roughly speaking, an isolated hypersurface singularity is called directionally Newton-non-degenerate if the local embedded ... -
On the distribution of a second class particle in the asymmetric simple exclusion process
[OWP-2009-22] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-15)We give an exact expression for the distribution of the position $X(t)$ of a single second class particle in the asymmetric simple exclusion process (ASEP) where initially the second class particle is located at the origin ... -
On the Enumeration of Finite $L$-Algebras
[OWP-2022-11] (Mathematisches Forschungsinstitut Oberwolfach, 2022-06-29)We use Constraint Satisfaction Methods to construct and enumerate finite L-algebras up to isomorphism. These objects were recently introduced by Rump and appear in Garside theory, algebraic logic, and the study of the ... -
On the Gauss Algebra of Toric Algebras
[OWP-2018-07] (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-25)Let $A$ be a $K$-subalgebra of the polynomial ring $S=K[x_1,\ldots,x_d]$ of dimension $d$, generated by finitely many monomials of degree $r$. Then the Gauss algebra $\mathbb{G}(A)$ of $A$ is generated by monomials of ... -
On the geometry of regular maps from a quasi-projective surface to a curve
[OWP-2013-03] (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)We explore consequences of the triviality of the monodromy group, using the condition of purity of the mixed Hodge structure on the cohomology of the surface X. -
On the geometry of the space of fibrations
[OWP-2009-15] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-09)We study geometrical aspects of the space of fibrations between two given manifolds $M$ and $B$, from the point of view of Fréchet geometry. As a first result, we show that any connected component of this space is the ... -
On the Invariants of the Cohomology of Complements of Coxeter Arrangements
[OWP-2018-21] (Mathematisches Forschungsinstitut Oberwolfach, 2018-10-22)We refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group W. As a result we complete the verification of a conjecture by Felder and Veselov that gives an explicit ... -
On the L2 Markov Inequality with Laguerre Weight
[OWP-2016-15] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17) -
On the Lie Algebra Structure of $HH^1(A)$ of a Finite-Dimensional Algebra A
[OWP-2019-10] (Mathematisches Forschungsinstitut Oberwolfach, 2019-04-17)Let $A$ be a split finite-dimensional associative unital algebra over a field. The first main result of this note shows that if the Ext-quiver of $A$ is a simple directed graph, then $HH^1(A)$ is a solvable Lie algebra. ... -
On the Markov inequality in the $L_2$-norm with the Gegenbauer weight
[OWP-2017-05] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-22)Let $w_{\lambda}(t) := (1-t^2)^{\lambda-1/2}$, where ${\lambda} > -\frac{1}{2}$, be the Gegenbauer weight function, let $\|\cdot\|_{w_{\lambda}}$ be the associated $L_2$-norm, $$ |f\|_{w_{\lambda}} = \left\{\int_{-1}^1 ... -
On the non-analyticity locus of an arc-analytic function
[OWP-2009-03] (Mathematisches Forschungsinstitut Oberwolfach, 2009-02-21)A function is called arc-analytic if it is real analytic on each real analytic arc. In real analytic geometry there are many examples of arc-analytic functions that are not real analytic. Arc analytic functions appear ... -
On the prediction of stationary functional time series
[OWP-2014-06] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of first-order functional autoregressive processes because of their ... -
On the δ=const Collisions of Singularities of Complex Plane Curves
[OWP-2008-15] (Mathematisches Forschungsinstitut Oberwolfach, 2008)We study a specific class of deformations of curve singularities: the case when the singular point splits to several ones, such that the total $\delta$ invariant is preserved. These are also known as equi-normalizable or ... -
On Unipotent Radicals of Pseudo-Reductive Groups
[OWP-2017-12] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-27)We establish some results on the structure of the geometric unipotent radicals of pseudo-reductive k-groups. In particular, let $k'$ be a purely inseparable field extension of k of degree $p^e$ and let $G$ denote the ... -
On Vietoris-Rips Complexes of Ellipses
[OWP-2017-11] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-25)For $X$ a metric space and $r > 0$ a scale parameter, the Vietoris–Rips complex $VR_<(X; r)$ (resp. $VR_≤(X; r)$) has $X$ as its vertex set, and a finite subset $\sigma \subseteq X$ as a simplex whenever the diameter of ... -
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 $A_1$ conjecture, which stayed open after Muckenhoupt-Wheeden's conjecture was disproved by Reguera-Thiele. -
On Weakly Complete Universal Enveloping Algebras of pro-Lie Algebras
[OWP-2020-10] (Mathematisches Forschungsinstitut Oberwolfach, 2020-04-27) -
1113 - Operator Algebras and Representation Theory: Frames, Wavelets and Fractals
[OWR-2011-17] (2011) - (27 Mar - 02 Apr 2011)The central focus of the workshop was Kadison-Singer conjecture and its connection to operator algebras, harmonic analysis, representation theory and the theory of fractals. The program was intrinsically interdisciplinary ...