Tootfinder

Modular analogs of character formulas and minimal lifts of modular forms
Patrick B. Allen, Preston Wake
https://arxiv.org/abs/2509.21426 https://arxiv.org/…

Modular analogs of character formulas and minimal lifts of modular forms
If $f$ is a mod-$3$ eigenform of weight 2 and level $Γ_0(\ell^2)$ for a prime $\ell$ such that $\ell \equiv -1 \pmod{3}$, and $\ell$ is a vexing prime for $f$, we show that there is no obstruction to finding a minimal lift of $f$, but that there is an obstruction to finding a nonminimal lift. The key new ingredient that we prove is a modular analog of the standard character formula for a cuspidal representation of $\mathrm{GL}_2(\mathbb{F}_\ell)$, an enhancement that allows us to easily comput…

"In a world of limited capital and urgent climate deadlines, the prudent course is to double down on the technologies that are delivering now and keep nuclear in a narrow test lane with clear stop rules."
#kernenergie

Small Modular Reactors and the Big Questions of Cost & Waste - CleanTechnica
New research challenges SMR promises, finding diseconomies of scale, cost overruns, and added nuclear waste streams.

Nicht nur iPhones: Auch bald viele AirPods "made in India"
Mindestens 25 Prozent aller Apple-Handys kommen mittlerweile vom Subkontinent. Nun kommt (mehr) Zubehör hinzu.
https://www.

ChatControl wants to scan all your private messages
The European Union wants to force tech companies to scan your private messages & images, even in your favorite encrypted apps.
— by @…
🕵️

ChatControl wants to scan all your private messages
The EU is pushing legislation that would scan all our private messages, even in encrypted apps.

Modularity and random graphs
Colin McDiarmid, Fiona Skerman
https://arxiv.org/abs/2509.22066 https://arxiv.org/pdf/2509.22066

Modularity and random graphs
This work will appear as a chapter in a forthcoming volume titled `Topics in Probabilistic Graph Theory'. For a given graph $G$, each partition of the vertices has a modularity score, with higher values indicating that the partition better captures community structure in $G$. The modularity $q^*(G)$ of $G$ is the maximum over all vertex-partitions of the modularity score, and satisfies $0\leq q^*(G)< 1$. Modularity lies at the heart of the most popular algorithms for community detection. In t…

ConQuER: Modular Architectures for Control and Bias Mitigation in IQP Quantum Generative Models
Xiaocheng Zou, Shijin Duan, Charles Fleming, Gaowen Liu, Ramana Rao Kompella, Shaolei Ren, Xiaolin Xu
https://arxiv.org/abs/2509.22551

ConQuER: Modular Architectures for Control and Bias Mitigation in IQP Quantum Generative Models
Quantum generative models based on instantaneous quantum polynomial (IQP) circuits show great promise in learning complex distributions while maintaining classical trainability. However, current implementations suffer from two key limitations: lack of controllability over generated outputs and severe generation bias towards certain expected patterns. We present a Controllable Quantum Generative Framework, ConQuER, which addresses both challenges through a modular circuit architecture. ConQuER e…

Non-Holomorphic $A_4$ Modular Symmetry in Type-I Seesaw: Implications for Neutrino Masses and Leptogenesis
Swaraj Kumar Nanda (SOA University), Maibam Ricky Devi (Gauhati University), Sudhanwa Patra (IIT Bhilai)
https://arxiv.org/abs/2509.22108

Non-Holomorphic $A_4$ Modular Symmetry in Type-I Seesaw: Implications for Neutrino Masses and Leptogenesis
We propose a minimal extension of the Standard Model with right-handed neutrinos, governed by a non-holomorphic $A_{4}$ modular flavor symmetry. Within this model framework, the light neutrino masses are generated via the popular type-I seesaw mechanism in which the structure of the Dirac neutrino Yukawa couplings is decided by nonholomorphic modular forms. Unlike conventional flavor models with ad hoc flavon fields, the structure of Dirac and Majorana mass matrices is entirely determined by a …

Berufe mit Zukunft: Warum KI-Embryologen künftig wichtig werden
Forschende nutzen Künstliche Intelligenz im Medizinbereich mittlerweile auch, um die Gesundheit von Babys im Mutterleib in Echtzeit zu überwachen.

AI-SearchPlanner: Modular Agentic Search via Pareto-Optimal Multi-Objective Reinforcement Learning
Lang Mei, Zhihan Yang, Chong Chen
https://arxiv.org/abs/2508.20368 https://

AI-SearchPlanner: Modular Agentic Search via Pareto-Optimal Multi-Objective Reinforcement Learning
Recent studies have explored integrating Large Language Models (LLMs) with search engines to leverage both the LLMs' internal pre-trained knowledge and external information. Specially, reinforcement learning (RL) has emerged as a promising paradigm for enhancing LLM reasoning through multi-turn interactions with search engines. However, existing RL-based search agents rely on a single LLM to handle both search planning and question-answering (QA) tasks in an end-to-end manner, which limits thei…

Edith (88 Jahre) und ihr Kultimbiss in St. Goar
#Alter #Frau
https://www.swr.de/heimat/mittelrhei…