1 citations · 1 across the 8 of their papers we have counts for
9 papers
Ideal Poisson--Voronoi tessellations for Finsler metrics on symmetric spaces
Colin Davalo, J. Maxwell Riestenberg, Anna Wienhard
Ideal Poisson--Voronoi tessellations are random tessellations that arise as limits of Voronoi diagrams for Poisson point processes as their intensity tends to zero. For the Riemann…
Illustrating Hyperbolic Surfaces with Mesh Embeddings
Fabian Lander, Erik Löffelholtz, Diaaeldin Taha +2
Hyperbolic geometry exhibits geometric phenomena, such as fast area growth, that are difficult to visualize faithfully in Euclidean space, and which standard models like the Poinca…
Noncommutative Cluster Varieties and Moduli Spaces of Local Systems
Zachary Greenberg, Dani Kaufman, Merik Niemeyer +1
In this article, we construct noncommutative cluster varieties, , for each reduced root system and marked surface simultaneously generalizing the cluster…
Generalizing Lusztig's total positivity II : geometric properties
Olivier Guichard, Anna Wienhard
Positive structures in Lie groups with respect to a subset of the set of positive roots provide a generalization of Lusztig's total positivity in split real Lie groups to the s…
Sheaf Neural Networks on SPD Manifolds: Second-Order Geometric Representation Learning
Yuhan Peng, Junwen Dong, Yuzhi Zeng +6
Graph neural networks face two fundamental challenges rooted in the linear structure of Euclidean vector spaces: (1) Current architectures represent geometry through vectors (direc…
Resolving Thinness of Degree-Six Symplectic Hypergeometric Monodromy Groups
J. Maxwell Riestenberg, Diaaeldin Taha, Steve Trettel +1
We prove arithmeticity for two degree-six symplectic hypergeometric monodromy groups and thinness for a third case. These are the three open cases called C-32, C-47, and C-55 in th…
Positivity and Non-commutativity
Anna Wienhard
In this article we revisit a new notion of positivity in real semisimple Lie groups that at the same time generalizes total positivity in split real Lie groups as well as positive…
Symmetric spaces for groups over involutive algebras and applications to Higgs bundles
Pengfei Huang, Georgios Kydonakis, Eugen Rogozinnikov +1
We study symplectic groups and indefinite orthogonal groups over involutive, possibly noncommutative, algebras . In the case when the algebra is Hermitian, or the…
Generalizing Lusztig's total positivity
Olivier Guichard, Anna Wienhard
We introduce the notion of -positivity in real simple Lie groups. This notion at the same time generalizes Lusztig's total positivity in split real Lie groups and invariant orde…