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What to expect from the Meta Connect 2025 keynote on September 17 at 5pm PT: "Hypernova" smart glasses with a display, Meta AI and Llama updates, and more (Karissa Bell/Engadget)
https://www.engadget.com/social-media/what

What to expect at Meta Connect 2025: 'Hypernova' smart glasses, AI and the metaverse
Meta Connect, the company's annual event dedicated to all things AR, VR, AI and the metaverse is just days away. And once again, it seems like it will be a...

Moving as a metaphor for software management.
https://www.garfieldtech.com/blog/moving-metaphor

Characteristic cycles for coadmissible D-modules on smooth rigid analytic curves
Raoul Hallopeau (IMJ-PRG)
https://arxiv.org/abs/2508.08348 https://arxiv.o…

Characteristic cycles for coadmissible D-modules on smooth rigid analytic curves
Let $\mathfrak{X}$ be a formal smooth curve over a complete discrete valuation ring of mixed characteristic and let $\mathfrak{X}_K$ be its generic fiber. We consider respectively over $\mathfrak{X}$ and $\mathfrak{X}_K$ the sheaves of differential operators $\mathcal{D}_{\mathfrak{X}, \infty}$ and $\overparen{\mathcal{D}}_{\mathfrak{X}_K}$ with a rapid convergence condition. In this article, we define a characteristic variety as a closed subset of the cotangent space $T^*\mathfrak{X}_K$ togeth…

Newton polytopes of fireworks Grothendieck polynomials
Chen-An (Jack), Chou, Linus Setiabrata
https://arxiv.org/abs/2508.09107 https://arxiv.org/pdf/2508.…

Newton polytopes of fireworks Grothendieck polynomials
We show that the support of the Grothendieck polynomial $\mathfrak G_w$ of any fireworks permutation is as large as possible: a monomial appears in $\mathfrak G_w$ if and only if it divides $\mathbf x^{\mathrm{wt}(\overline{D(w)})}$ and is divisible by some monomial appearing in the Schubert polynomial $\mathfrak S_w$. Our formula implies that the homogenization of $\mathfrak G_w$ has M-convex support. We also show that for any fireworks permutation $w\in S_n$, there exists a layered permutatio…

Representations of the N=1 Heisenberg-Virasoro superalgebra
Ziqi Hong, Haibo Chen, Yucai Su
https://arxiv.org/abs/2508.08738 https://arxiv.org/pdf/2508.087…

Representations of the N=1 Heisenberg-Virasoro superalgebra
We first define a class of non-weight modules over the N=1 Heisenberg-Virasoro superalgebra $\mathfrak{g}$, which are reducible modules. Then we give all submodules of such modules, and present the corresponding irreducible quotient modules which were exactly studied in \cite{DL}. Also, we prove that those modules constitute a complete classification of $U(\mathfrak{h})$-free modules of rank $2$ over $\mathfrak{g}$, where $\mathfrak{h}=\C L_{0}\oplus\C H_{0}$ is the degree-0 part of $\mathfra…

🇺🇦 #NowPlaying on KEXP's #MorningShow
Matt Berninger:
🎵 Blue Monday
#MattBerninger

Like a coin spinning in the air: the effect of (non-)metaphorical explanations on comprehension and attitudes towards quantum technology
Aletta Lucia Meinsma, W. Gudrun Reijnierse, Julia Cramer
https://arxiv.org/abs/2506.10539

Like a coin spinning in the air: the effect of (non-)metaphorical explanations on comprehension and attitudes towards quantum technology
The complexity of the science underlying quantum technology may pose a barrier to its democratization. This study investigated whether metaphors improve comprehension of, and shape attitudes toward, quantum technology. In an online experiment (n = 1,167 participants representative of the Dutch population), participants read a news article that included a metaphorical, non-metaphorical, or no explanation of a quantum phenomenon. Both explanation types reduced perceived comprehension of the news …

On lengths of modules over certain Artinian complete intersections
Tony J. Puthenpurakal
https://arxiv.org/abs/2506.10368 https://arx…

On lengths of modules over certain Artinian complete intersections
Let $(Q,\mathfrak{n})$ be a regular local ring of dimension $c \geq 2$ with algebraically closed residue field $k = Q/\mathfrak{n}$. Let $f_1, f_2, \ldots f_{c-1}, g$ be a regular sequence in $Q$ such that $ f_i \in \mathfrak{n}^2$ for all $i$ and $g \in \mathfrak{n}$. Set $A = Q/(f_1,\ldots, f_{c-1}, g^r)$ with $r \geq 2$. Notice $A$ is an Artinian complete intersection of codimension $c$. We show that there exists $α_A \in \mathbb{P}^{c-1}(k)$ such that there exists integer $m_A \geq 2…

Unconditional results for Artin-type problems over number fields
Pietro Sgobba
https://arxiv.org/abs/2508.08996 https://arxiv.org/pdf/2508.08996

Unconditional results for Artin-type problems over number fields
Let $K$ be a number field and let $G$ be a finitely generated subgroup of $K^\times$. For all but finitely many primes $\mathfrak p$ of $K$, the reduction $(G \bmod \mathfrak p)$ generates a well-defined subgroup of the multiplicative group of the residue field at $\mathfrak p$, and we may consider its index. We study the primes of $K$ for which this index lies in a given set of positive integers $S$. In particular, we prove that under certain convergence conditions on series associated to $S$ …

heise | Vom Sofa in die Natur: 16 Outdoor-Apps, die zum Bewegen motivieren
Bewegung tut gut! Doch wie motiviert man sich und die Kindern nach draußen zu gehen und die Welt zu erkunden? 16 Apps mit denen Ausflüge spannender werden.