Tootfinder

Hermitian modular forms and algebraic modular forms on $SO(6)$
Tomoyoshi Ibukiyama, Brandon Williams
https://arxiv.org/abs/2505.23497 https://

Hermitian modular forms and algebraic modular forms on $SO(6)$
We state conjectures that relate Hermitian modular forms of degree two and algebraic modular forms for the compact group $SO(6)$. We provide evidence for these conjectures in the form of dimension formulas and explicit computations of eigenforms.

"Radfahrende dürfen auf der #Hauptstraße nur den mittleren Weg nutzen."
Der mittlere Weg:

Live Improvisation For Dual Vintage Moog Modular Synthesizers & Drums
https://www.synthtopia.com/content/2025/07/20/live-improvisation-for-dual-vin…

Live Improvisation For Dual Vintage Moog Modular Synthesizers & Drums
The jam features an amazing set of instruments, including dual Moog modular systems, an Oberheim Eight Voice SEM and a Roland Jupiter-8. 

Recovering Fairness Directly from Modularity: a New Way for Fair Community Partitioning
Yufeng Wang, Yiguang Bai, Tianqing Zhu, Ismail Ben Ayed, Jing Yuan
https://arxiv.org/abs/2505.22684

Recovering Fairness Directly from Modularity: a New Way for Fair Community Partitioning
Community partitioning is crucial in network analysis, with modularity optimization being the prevailing technique. However, traditional modularity-based methods often overlook fairness, a critical aspect in real-world applications. To address this, we introduce protected group networks and propose a novel fairness-modularity metric. This metric extends traditional modularity by explicitly incorporating fairness, and we prove that minimizing it yields naturally fair partitions for protected gro…

»Software-Entwickler trauen KI nicht:
Die grosse Mehrheit der Entwickler nutzt mittlerweile KI bei der Programmierarbeit. Trotzdem sind die Coderinnen und Coder skeptisch, ob sie den Algorithmen wirklich trauen können.«
An was könnte dies wohl liegen, evt. weil die auch ein wenig Erfahrung mit Software haben und nicht gleich jegliches Marketing Propaganda glauben?!??
🤦

Software-Entwickler trauen KI nicht
Die grosse Mehrheit der Entwickler nutzt mittlerweile KI bei der Programmierarbeit. Trotzdem sind die Coderinnen und Coder skeptisch, ob sie den Algorithmen wirklich trauen können.

2-dimensional TFTs via modular $\infty$-operads
Jan Steinebrunner
https://arxiv.org/abs/2506.22104 https://arxiv.org/pdf/2506.22104…

2-dimensional TFTs via modular $\infty$-operads
This lecture series is based on joint work in progress with Shaul Barkan, as well as work in progress of the author. The five sections of these notes correspond to the five lectures, but more details have been added. $2$-dimensional topological field theories ($2$D TFTs) valued in vector spaces are commutative Frobenius algebras. The goal of this lecture series is to generalize from the $1$-category of vector spaces to any symmetric monoidal $\infty$-category $\mathcal{C}$, i.e. to study symm…

The Fourier coefficients and singular moduli of the elliptic modular function $j(\tau)$, revisited
Toshiki Matsusaka
https://arxiv.org/abs/2507.21514 https://

The Fourier coefficients and singular moduli of the elliptic modular function $j(τ)$, revisited
Kaneko's formula expresses the Fourier coefficients of the elliptic modular $j$-function as finite sums of singular moduli. First published as a short article in 1996, it was presented as a consequence of Zagier's work inspired by Borcherds products. Since then, the formula has developed into a broader framework that links the Fourier coefficients of modular forms to the special values of modular functions, extending in various directions. This article surveys these subsequent developments.

Solving a real-world modular logistic scheduling problem with a quantum-classical metaheuristics
Florian Krellner, Abhishek Awasthi, Nico Kraus, Sarah Braun, Michael Poppel, Daniel Porawski
https://arxiv.org/abs/2507.21701

Solving a real-world modular logistic scheduling problem with a quantum-classical metaheuristics
This study evaluates the performance of a quantum-classical metaheuristic and a traditional classical mathematical programming solver, applied to two mathematical optimization models for an industry-relevant scheduling problem with autonomous guided vehicles (AGVs). The two models are: (1) a time-indexed mixed-integer linear program, and (2) a novel binary optimization problem with linear and quadratic constraints and a linear objective. Our experiments indicate that optimization methods are ve…

FrankenBot: Brain-Morphic Modular Orchestration for Robotic Manipulation with Vision-Language Models
Shiyi Wang, Wenbo Li, Yiteng Chen, Qingyao Wu, Huiping Zhuang
https://arxiv.org/abs/2506.21627

FrankenBot: Brain-Morphic Modular Orchestration for Robotic Manipulation with Vision-Language Models
Developing a general robot manipulation system capable of performing a wide range of tasks in complex, dynamic, and unstructured real-world environments has long been a challenging task. It is widely recognized that achieving human-like efficiency and robustness manipulation requires the robotic brain to integrate a comprehensive set of functions, such as task planning, policy generation, anomaly monitoring and handling, and long-term memory, achieving high-efficiency operation across all funct…

Diagonal cycles and Anticyclotomic twists of modular forms at inert primes
Luca Marannino
https://arxiv.org/abs/2507.22755 https://arxiv.org/pdf/2507.22755…

Diagonal cycles and Anticyclotomic twists of modular forms at inert primes
We revisit the construction of Castella and Do of an anticyclotomic Euler system for the $p$-adic Galois representation of a modular form, using diagonal classes. Combining this construction and some previous results of ours, we obtain new results towards the Bloch--Kato conjecture in analytic rank one, assuming that the fixed prime $p$ is inert in the relevant imaginary quadratic field.