Tootfinder

A presentation for the category of $sl(3)$ webs and an extension of the quantum $sl(3)$-invariant to tangles
Nipun Amarasinghe
https://arxiv.org/abs/2506.11301

A presentation for the category of $sl(3)$ webs and an extension of the quantum $sl(3)$-invariant to tangles
We extend the $sl(3)$-polynomial invariant for links to tangles. Motivated by Kuperberg's construction of this invariant via planar trivalent graphs, we first define a category of $sl(3)$ webs and its sister linear category, and describe them via generators and relations. Then we define a functor from the category of oriented tangles to the linear category of $sl(3)$ webs, which yields an invariant for tangles and allows us to recover the $sl(3)$-polynomial invariant for links.

The Outstanding Talk Series Emmy category will have only three nominations in 2025, down from five in 2023, due to getting just 13 submissions (Peter White/Deadline)
https://deadline.com/2025/06/late-night-talk-emmy-category-three-nominatio…

Late-Night Talk Emmy Category Reduced To Three Nominations
The likes of Jon Stewart, Stephen Colbert, Jimmy Kimmel and Seth Meyers will be battling it out for one of only three Emmy nominations.

Saving Electricity and Gas - Avoiding 6 tonnes of CO2 per year at home! #electricity #fossilGas #cutCarbon -

Saving Electricity and Gas
Avoiding 6 tonnes of CO2 per year at home! #electricity #fossilGas #cutCarbon

Twisted Graded Categories
Shai Keidar, Shaul Ragimov
https://arxiv.org/abs/2506.11240 https://arxiv.org/pdf/2506.11240

Twisted Graded Categories
Given a presentably symmetric monoidal $\infty$-category $\mathcal{C}$ and an $\mathbb{E}_{\infty}$-monoid $M$, we introduce and classify twisted graded categories, which generalize the Day convolution structure on $\mathrm{Fun}(M, \mathcal{C})$. These are characterized by a braiding encoded in symmetric group actions on tensor powers, whose character we show depends only on the $\mathbb{T}$-equivariant monoidal dimension. We analyze the $\mathbb{T}$-action on the dimension of invertible object…

📢 US-Bundesstaat Minnesota: Verdächtiger nach tödlichen Schüssen auf US-Abgeordnete gefasst
Nach den tödlichen Schüssen auf demokratische Abgeordnete und deren Ehepartner im US-Bundesstaat Minnesota ist der mutmaßliche Täter festgenommen worden. Gouverneur Tim Walz bestätigte die Festnahme.
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US-Bundesstaat Minnesota: Verdächtiger nach tödlichen Schüssen auf US-Abgeordnete gefasst
Nach den tödlichen Schüssen auf demokratische Abgeordnete und deren Ehepartner im US-Bundesstaat Minnesota ist der mutmaßliche Täter festgenommen worden. Gouverneur Tim Walz bestätigte die Festnahme.

Reflexive dg categories in algebra and topology
Matt Booth, Isambard Goodbody, Sebastian Opper
https://arxiv.org/abs/2506.11213 https://

Reflexive dg categories in algebra and topology
Reflexive dg categories were introduced by Kuznetsov and Shinder to abstract the duality between bounded and perfect derived categories. In particular this duality relates their Hochschild cohomologies, autoequivalence groups, and semiorthogonal decompositions. We establish reflexivity in a variety of settings including affine schemes, simple-minded collections, chain and cochain dg algebras of topological spaces, Ginzburg dg algebras, and Fukaya categories of cotangent bundles and surfaces as …

Cowboys' Dak Prescott labeled NFL's 'worst' in unfortunate category https://www.si.com/nfl/cowboys/news/dallas-cowboys-dak-prescott-labeled-nfl-worst-unfortunate-category

Demonstration Sidetracks: Categorizing Systematic Non-Optimality in Human Demonstrations
Shijie Fang, Hang Yu, Qidi Fang, Reuben M. Aronson, Elaine S. Short
https://arxiv.org/abs/2506.11262

Demonstration Sidetracks: Categorizing Systematic Non-Optimality in Human Demonstrations
Learning from Demonstration (LfD) is a popular approach for robots to acquire new skills, but most LfD methods suffer from imperfections in human demonstrations. Prior work typically treats these suboptimalities as random noise. In this paper we study non-optimal behaviors in non-expert demonstrations and show that they are systematic, forming what we call demonstration sidetracks. Using a public space study with 40 participants performing a long-horizon robot task, we recreated the setup in si…

MHRV (Mechanical Heat-Recovery Ventilation) and HR25H Review - Is MHRV right for you? Learn from our years with the Vent-Axia humidistat HR25. #frugal #cutCarbon -

MHRV (Mechanical Heat-Recovery Ventilation) and HR25H Review
Is MHRV right for you? Learn from our years with the Vent-Axia humidistat HR25. #frugal #cutCarbon

Saving Electricity and Gas - Avoiding 6 tonnes of CO2 per year at home! #electricity #fossilGas #cutCarbon -

Saving Electricity and Gas
Avoiding 6 tonnes of CO2 per year at home! #electricity #fossilGas #cutCarbon