Tootfinder

Forum Bildung Digitalisierung: Orientierungspapier zur Handyverbotsdebatte
Hat Sloterdijks Drogenvergleich das Fass zum Überlaufen gebracht? Das jetzt erschienene Papier zur Verbotsdebatte will sie auf jeden Fall wieder versachlichen.

From homotopy Rota-Baxter algebras to Pre-Calabi-Yau and homotopy double Poisson algebras
Yufei Qin, Kai Wang
https://arxiv.org/abs/2506.03952 https://

From homotopy Rota-Baxter algebras to Pre-Calabi-Yau and homotopy double Poisson algebras
In this paper, we investigate pre-Calabi-Yau algebras and homotopy double Poisson algebras arising from homotopy Rota-Baxter structures. We introduce the notion of cyclic homotopy Rota-Baxter algebras, a class of homotopy Rota-Baxter algebras endowed with additional cyclic symmetry, and present a construction of such structures via a process called cyclic completion. We further introduce the concept of interactive pairs, consisting of two differential graded algebras-designated as the acting al…

A note on the Greek letter elements of the homotopy of the $L_n$-local spheres
Ryo Kato, Katsumi Shimomura, Mao-no-suke Shimomura
https://arxiv.org/abs/2507.02155

A note on the Greek letter elements of the homotopy of the $L_n$-local spheres
Let $BP$ denote the Brown-Peterson spectrum at a prime $p$, whose homotopy groups are isomorphic to the polynomial algebra generated by elements $v_i$'s for $i\ge 1$. We consider the homotopy groups of the $v_n^{-1}BP$-localized sphere spectrum $L_nS^0$ with $n^2\le 2p-1$, and show that the groups contain the $n$-th Greek letter family. For the proof of this, we further show the existence of the $v_n^{-1}BP$-localized Smith-Toda spectrum $W_n$ for the case $n^2\le 2p-1$. If the Smith-Toda spect…

Equivariant deformation problems and homotopy operators
Sebasti\'an Daza, Jo\~ao Nuno Mestre
https://arxiv.org/abs/2506.03967 https://

Equivariant deformation problems and homotopy operators
We use homotopy operators for the $L_\infty$-algebra associated with an equivariant deformation problem in order to describe a smooth parametrization of the space of structures around a given one. Along the way we give new algebraic and explicit proofs of rigidity and unobstructedness theorems.

In den 1980ern (und auch später noch) gab es in den USA eine gute Handvoll Session-Musiker, die in unterschiedlichen Konstellationen auf fast allen erfolgreichen Alben aus dieser Zeit mitgewirkt haben. Der Film "The Immediate Family" ist die Dokumentation dazu, und gestern ist mir der – mit einem völlig anderen Titel – durch die YouTube-Timeline gerutscht. Wer von euch an Rockmusik aus den 1980ern interessiert ist, enjoy:

Useful.
I’ve always disliked the fact that SOHO NAT routers all seem to be configured with one of a handful of 192.168.*/24 subnets. Beyond the risk of collision, I’ve had the experience of being told vehemently by benighted customer “IT guys” that I’ve done something horribly wrong by setting their inside up on 10.175.202.0/23 or some similarly uncommon RFC1918 block, because they “knew” that it was supposed to be in the Class C range of RFC 1918.

Picking uncontested private IP subnets with usage data

Designing Algorithmic Delegates: The Role of Indistinguishability in Human-AI Handoff
Sophie Greenwood, Karen Levy, Solon Barocas, Hoda Heidari, Jon Kleinberg
https://arxiv.org/abs/2506.03102

Designing Algorithmic Delegates: The Role of Indistinguishability in Human-AI Handoff
As AI technologies improve, people are increasingly willing to delegate tasks to AI agents. In many cases, the human decision-maker chooses whether to delegate to an AI agent based on properties of the specific instance of the decision-making problem they are facing. Since humans typically lack full awareness of all the factors relevant to this choice for a given decision-making instance, they perform a kind of categorization by treating indistinguishable instances -- those that have the same o…

@… Fred Meyer out here in Battle Ground had a handful when I was just there. And no long lines either.

🇺🇦 #NowPlaying on KEXP's #WoPop
Hamid Baroudi:
🎵 Trance Dance (DJ Krush remix)
#HamidBaroudi
https://arabicbeats.bandcamp.com/track/trance-dance-dj-krush-mix
https://open.spotify.com/track/7ySodE6xsDojBRjy7bGWmb

Free actions on products of real projective spaces
Ergun Yalcin
https://arxiv.org/abs/2506.04067 https://arxiv.org/pdf/2506.04067

Free actions on products of real projective spaces
We prove that if $G=(\mathbb{Z}/2)^r$ acts freely and cellularly on a finite-dimensional CW-complex $X$ homotopy equivalent to $\mathbb{R}P ^{n_1} \times \cdots \times \mathbb{R} P ^{n_k}$ with trivial action on the mod-$2$ cohomology, then $r \leq μ(n_1)+ \cdots + μ(n_k )$ where for each integer $n\geq 0$, $μ(n)=0$ if $n$ is even, $μ(n)=1$ if $n\equiv 1$ mod 4, and $μ(n)=2$ if $n\equiv 3$ mod 4. This proves a homotopy-theoretic version of a conjecture of Cusick.