Browsing by MFO Scientific Program "OWRF 2023"
Now showing items 1-9 of 9
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Bochner-Riesz Means at the Critical Index: Weighted and Sparse Bounds
[OWP-2023-16] (Mathematisches Forschungsinstitut Oberwolfach, 2023-11-27)We consider Bochner-Riesz means on weighted $L^p$ spaces, at the critical index $\lambda(p)=d(\frac 1p-\frac 12)-\frac 12$. For every $A_1$-weight we obtain an extension of Vargas' weak type $(1,1)$ inequality in some range ... -
Computer Algebra with GAP
[OWP-2023-03] (Mathematisches Forschungsinstitut Oberwolfach, 2023-04-13)This monograph includes the following topics: a basic introduction to the language, basic arithmetic, permutations, matrices, polynomial rings, finite fields, finite and finitely presented groups, small groups, group ... -
Edifices: Building-like Spaces Associated to Linear Algebraic Groups; In memory of Jacques Tits
[OWP-2023-04] (Mathematisches Forschungsinstitut Oberwolfach, 2023-06-19)Given a semisimple linear algebraic $k$-group $G$, one has a spherical building $Δ_G$, and one can interpret the geometric realisation $Δ_G(\mathbb R)$ of $Δ_G$ in terms of cocharacters of $G$. The aim of this paper is to ... -
A Gentle Introduction to Interpolation on the Grassmann Manifold
[OWP-2024-02] (Mathematisches Forschungsinstitut Oberwolfach, 2024-01-10) -
Hypergroups and Twin Buildings, I
[OWP-2023-10] (Mathematisches Forschungsinstitut Oberwolfach, 2023-06-19)We discuss a conjecture on thick twin buildings the verification of which is needed in order to show that thick twin buildings are mathematically equivalent to regular actions of certain twin Coxeter hypergroups. (A ... -
A Note on Endpoint Bochner-Riesz Estimates
[OWP-2023-17] (Mathematisches Forschungsinstitut Oberwolfach, 2023-11-27)We revisit an $\varepsilon$-removal argument of Tao to obtain sharp $L^p \to L^r(L^p)$ estimates for sums of Bochner-Riesz bumps which are conditional on non-endpoint bounds for single scale bumps. These can be used to ... -
On Overgroups of Distinguished Unipotent Elements in Reductive Groups and Finite Groups of Lie Type
[OWP-2024-05] (Mathematisches Forschungsinstitut Oberwolfach, 2024-06-18)Suppose G is a simple algebraic group defined over an algebraically closed field of good characteristic p. In 2018 Korhonen showed that if H is a connected reductive subgroup of G which contains a distinguished unipotent ... -
Real Enumerative Invariants Relative to the Anti-Canonical Divisor and their Refinement
[OWP-2023-02] (Mathematisches Forschungsinstitut Oberwolfach, 2023-03-24)We introduce new invariants of the projective plane (and, more generally, of certain toric surfaces) that arise from the appropriate enumeration of real elliptic curves. These invariants admit a refinement (according to ... -
The Subgroup Structure of Pseudo-Reductive Groups
[OWP-2024-08] (Mathematisches Forschungsinstitut Oberwolfach, 2024-07-31)Let $k$ be a field. We investigate the relationship between subgroups of a pseudo-reductive $k$-group $G$ and its maximal reductive quotient $G'$, with applications to the subgroup structure of $G$. Let $k'/k$ be the minimal ...