Emiliano Ambrosi,Olivier de Gaay Fortman
Emiliano Ambrosi
To a topological groupoid endowed with an involution, we associate a topological groupoid of fixed points, generalizing the fixed-point subspace of a topological space with involution. We prove that when the topological groupoid with involu...
Schubert cells and Whittaker functionals for [Formula: see text] part I: Combinatorics [0.03%]
与[公式]的舒伯特细胞和Whittaker泛函（I）：组合学
Doyon Kim
Doyon Kim
We give a formula for a birational map on the Schubert cell associated to each Weyl group element of G = GL ( r ) . The map simplifies the UDL decomposition of matrices, providing structural insight into the Schubert cell decomposition of ...
Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle [0.03%]
各向异性的Rényi熵的尖锐上界与Heisenberg不确定性原理
Marianna Chatzakou,Michael Ruzhansky,Anjali Shriwastawa
Marianna Chatzakou
In this paper, we prove the anisotropic Shannon inequality for the Rényi entropy with the best constant on Folland-Stein homogeneous Lie groups. As a consequence, we also prove the optimal Shannon inequality in the same setting. Using a lo...
Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics [0.03%]
具有里奇曲率下界的非光滑黎曼和半黎曼度量的刚性定理
Michael Kunzinger,Argam Ohanyan,Alessio Vardabasso
Michael Kunzinger
We study rigidity problems for Riemannian and semi-Riemannian manifolds with metrics of low regularity. Specifically, we prove a version of the Cheeger-Gromoll splitting theorem [22] for Riemannian metrics and the flatness criterion for sem...
Theta functions, broken lines and 2-marked log Gromov-Witten invariants [0.03%]
θ函数、折线与带标记的log Gromov-Witten不變量
Tim Gräfnitz
Tim Gräfnitz
Theta functions were defined for varieties with effective anticanonical divisor [11] and are related to certain punctured Gromov-Witten invariants [2]. We show that in the case of a log Calabi-Yau surface (X, D) with smooth very ample antic...
Lukas F Bröring,Anna M Viergever
Lukas F Bröring
We compute the quadratic Euler characteristic of the symmetric powers of a smooth, projective curve over any field k that is not of characteristic two, using the Motivic Gauss-Bonnet Theorem of Levine-Raksit. As an application, we show that...
Diego Artacho
Diego Artacho
We present a complete classification of invariant generalised Killing spinors on three-dimensional Lie groups. We show that, in this context, the existence of a non-trivial invariant generalised Killing spinor implies that all invariant spi...
Chao Li,Michael Rapoport,Wei Zhang
Chao Li
We define Hecke correspondences and Hecke operators on unitary RZ spaces and study their basic geometric properties, including a commutativity conjecture on Hecke operators. Then we formulate the arithmetic fundamental lemma conjecture for ...
Vincent Emery
Vincent Emery
We obtain upper bounds for the torsion in the K-groups of the ring of integers of imaginary quadratic number fields, in terms of their discriminants. ...
Tobias Beran,Felix Rott
Tobias Beran
We introduce an analogue to the amalgamation of metric spaces into the setting of Lorentzian pre-length spaces. This provides a very general process of constructing new spaces out of old ones. The main application in this work is an analogu...