arXiv math.NTの新着論文25本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-14/An adelic approach to the Kudla-Millson lifts over totally real number fieldsLocal-global principles for visibility of lattice points on parameterized curvesOn the variation of slopes over moduli stacks of Galois representationsCritical convergence and Hausdorff measures for generalized Flint Hills series$S_h$-sets in abelian groupsA Generalization of S\'ark\"ozy's theorem in function fieldsZeros

arXiv math.RAの新着論文3本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-14/Notes on Reversed Products of Two Elements in RingsOn the growth of Lie algebras and Jordan algebrasUniqueness of Rank-Metric Completions of Bratteli Systems

arXiv math.ACの新着論文5本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-14/Numerical invariants for three-generated idealsThe Eisenbud-Huneke-Ulrich conjecture and bounds on minimal generatorsOn the Hilbert Series and Multiplicity of Generalized Binomial Edge IdealsBorder rank lower bounds beyond weak border apolarityDescent, Seminormalization, and Conductors of Sparse Profile Images

地図をどんな複雑な形でも4色で塗り分けられることを証明する「四色定理」。150年の歴史を持つこの問題に、6人の数学者が新しい証明を加えました。鍵は、これまで見過ごされてきた「平らな領域」に見つけた8202通りの配置。塗り分けにかかる計算時間も、大きく短縮されました。〇The Four-Color Theorem Gets a Rare New Proof（Quanta Magazine、2026年9月10日）https://www.quantamagazine.org/the-four-color-theorem-gets-a-rare-new-proof-20260910/〇The Four Color Theorem with Linearly Many Reducible Configurations and Near-Linear Time Coloring（arXiv、2026年3月25日）https://arxiv.org/abs/2603.24880#数学 #四色定理 #四色問題 #グラフ理論 #数学史 #証明 #アルゴリズム #計算量 #平面グラフ #コンピューターサイエンス

Number of the Day - "8"This podcast is produced by Klassic Studios. Check out our other podcasts there! Sources Number sequence definitions come from the On-Line Encyclopedia of Integer Sequences (OEIS). Historical material is adapted from Wikipedia, used under the Creative Commons Attribution-ShareAlike licence. Minor planet details come from the NASA/JPL Small-Body Database. Learn more about your ad choices. Visit megaphone.fm/adchoices

We explore the shift from clumsy pixel-by-pixel AI computer control to hybrid agent frameworks that use APIs, MCP, and real-time code execution. Learn why extended-reasoning models can struggle with graphical interfaces, how direct system access improves speed and security, and what human-AI-native operating systems could make possible. Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information. Sponsored by Embersilk LLC

Every business has a load-bearing spreadsheet. It lives between four other tools, nobody fully trusts it, and it exists because the off-the-shelf software never quite fit the shape of the actual work. This episode of Development explores what that pattern reveals — and what it takes to build custom internal tools that teams genuinely keep using, long after the initial rollout. The episode digs into what separates tools that stick from tools that quietly get routed around, covering: The

arXiv math.RTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-10/A counterexample to the periodicity conjecture for finite-dimensional algebrasToric degeneration for hybrid qudit spacesSyzygy Transformations of Cluster Characters and Geometric TwistsDerived equivalences between diagram categories of finite posetsHybrid Kazhdan-Lusztig basis and parabolic inductionFiniteness and growth of brick chain filtrationsCluster Morita theorem for negative cluster

arXiv math.AGの新着論文35本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-10/From Closed to Relative Higher-Genus Gromov-Witten Invariants via Resurgent FunctionsSecant varieties of flag varieties via Schur apolarityPrime Fano fourfolds in classical and generalized GrassmanniansThe algebraic geometry of 3-by-3 magic squares of squaresAutomorphism groups of semi-rigid $T$-varieties of complexity oneUlrich bundles on intersections of two quadricsRepresentation Varieties of

Una delle prime donne a costruire una carriera matematica moderna, stabile e riconosciuta nell'università europea, Sofia Kowalevski, nota anche come Sonia Kowalevski o Sof'ja Kovalevskaja, è stata molto più di un genio dei numeri. Figura carismatica e complessa, ha vissuto a cavallo tra la scienza più rigorosa, la letteratura, il nichilismo russo e i movimenti di emancipazione femminile dell'Ottocento. In questo episodio di Inventare la matematica, Giulio Magli e Annalisa Panati ci accompagnano alla

Number of the Day - "7" This podcast is produced by Klassic Studios. Check out our other podcasts there! Sources Number sequence definitions come from the On-Line Encyclopedia of Integer Sequences (OEIS). Historical material is adapted from Wikipedia, used under the Creative Commons Attribution-ShareAlike licence. Minor planet details come from the NASA/JPL Small-Body Database. Learn more about your ad choices. Visit megaphone.fm/adchoices

OpenAI has announced that an advanced internal AI system successfully resolved the Navier–Stokes Millennium Prize Problem by proving that fluid dynamics can develop a singularity in finite time. This breakthrough was achieved using a multiagent system of 10,000 concurrent agents that utilized tools and cross-pollination of ideas to formulate an analytical proof and a Lean formalized verification. By demonstrating that smooth motion can lead to infinite speeds, the research clarifies a 90-ye...

Two independent measurements seem to disagree on the Universe’s expansion: a precise early‑Universe hint from the cosmic microwave background vs. a faster late‑Universe value from the distance ladder. In this deep dive, we trace the plans to resolve the tension using JWST data, massive galaxy surveys, and gravitational‑wave standard sirens. We explore proposed fixes like early dark energy and late‑time dynamics, the new tensions they spark (like S8), and why upcoming observatories—Rubin, Eucl...

OpenAI opened up the system that powers its own coding agent, Codex, for anyone to build on. Spending per employee among the heaviest AI users fell almost ten percent last month, even as token prices kept falling. More power to build, less appetite to pay for it. We go through what OpenAI's new Agents API actually hands developers, why buyers are picking cheaper models over frontier ones, and how Cloudflare quietly upgraded the internet's encryption without anyone lifting a finger. This is a public

Most proposal teams have a compliance matrix. Fewer have one that actually does anything. This episode of Development tackles the gap between a compliance matrix as a formality and a compliance matrix as a genuine production tool — walking through the mechanics, the common failure points, and the specific habits that separate teams who catch requirement gaps early from teams who find them in evaluation notices.Here's what the episode covers: The "shred" step: Why you must copy exact

arXiv math.RTの新着論文34本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-09/Thick subcategories over weakly symmetric algebras with radical cube zeroA Note on Additive DiameterPAGR: Proof-Carrying Algebraic-Geometric Retrieval: A Quiver-, Provenance-, and Sheaf-Theoretic Framework for Grounded LLM RetrievalCriteria for discrete decomposability and admissibility in the branching problemA hereditary theorem for rigid and pseudorigid components of Lusztig's nilpotent

arXiv math.AGの新着論文73本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-09/Tame polynomial automorphismsCoarse moduli of motivic augmentationsOn endomorphisms of affine spaces and the Jacobian problemMutation Sequences along Weaves and Amalgamation of Braid VarietiesOpen-closed duality in higher genus and windingRelative Geometric Invariant Theory: Reductive and Non-reductiveBoundedness of Stein degrees in positive characteristicsProbability-theoretic interpretation of

arXiv math.CAの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-11/Finite Hardy Phase Theory for Power Means: An exact analytic shooting family through the Carleman parameterDimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheresOn the log-concavity of the composite Bessel function $x^{\alpha}J_{\nu }\left( \beta x^{\gamma}\right) $Riesz capacity ratios with negative exponentsShorter proof of dimension-free $L^p$

arXiv math.GRの新着論文3本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-11/Reversibility and its asymptotic counting in Picard groupConjugator length in finitely generated groupsMetric Geometry of the Signature Group for $p$-Variation Rough Paths