Tootfinder

Deligne 1-motives with torsion and \'etale motives
Rapha\"el Ruimy
https://arxiv.org/abs/2506.10637 https://arxiv.org/pdf/25…

Deligne 1-motives with torsion and étale motives
We construct the motivic t-structure on 1-motives with integral coefficients over a scheme of characteristic zero or a Dedekind scheme. When we invert the residue characteristic exponents of the base, this t-structure induces a t-structure on the category of smooth 1-motives whose heart is the category of Deligne 1-motives with torsion which we prove to be abelian. This relies on the fact that over a normal scheme, Deligne 1-motives with torsion are determined by their fiber on the generic poin…

A federal judge on Monday declared some of the Trump administration’s cuts to National Institutes of Health grants
“void and illegal,”
accusing the government of racial discrimination and prejudice against L.G.B.T.Q. individuals.
Ruling from the bench, Judge William G. Young of the Federal District Court for the District of Massachusetts
delivered a damning assessment of the Trump administrations’ motives in targeting hundreds of grants that focused on the health of Bl…

Trump Live Updates: Senate Republicans Propose Deeper Medicaid Cuts in Major Policy Bill

Trump Makes NPR’s Legal Case Extra Easy By Admitting Retaliatory Motives In Executive Order Title | Techdirt
https://www.techdirt.com/2025/05/30/trump-makes-nprs-legal-case-extra-easy-by-admitting-retaliatory-motives-in-executive-order-title/

If you want to know why a Democratic Senator and Representative in Minnesota were shot...
It might have something to do with the fact that their deaths would end the Democratic majorities in both chambers.

Hilarious and nevertheless a bit unpleasant new video of The Slow Mo Guys, but at least something completely different than their common weapons, explosions or balloons motives:
"High-Speed Hair-Plucking Machine in Macro"
YouTube: https://www.youtube.com/watch?v=kp_k_hiP9r

Motives of Certain Hyperplane Sections of Milnor Hypersurfaces
Evan Marth
https://arxiv.org/abs/2507.05434 https://arxiv.org/pdf/2507…

Motives of Certain Hyperplane Sections of Milnor Hypersurfaces
We construct a hyperplane section $Y$ of a Milnor hypersurface associated to a semisimple endomorphism $φ$. Exploiting its structure as a hyperplane section of a projective bundle and its natural torus action, we give a motivic decomposition of $Y$, which encodes both the cellular structure of $Y$ and the arithmetic of the eigenvalues of $φ$. This decomposition is proven without using the "nilpotence principle", that is to say there are no "phantoms".

“Justice Jackson has begun looking at patterns, and noticing what types of parties tend to win, and which tend to lose. She has noticed procedural discrepancies. She has begun looking at interests, motives, and connections. She’s begun to point behind the curtain at what ‘collegiality’ obscures.”
'What's up with Justice Jackson?': Billionaires said to be 'fearful' of jurist - Raw Story
https://www.rawstory.com/ketanji-brown-jackson-2673042186/

Because essentially no one who has done conscientious online moderation before ever wants to do it again.
It’s been 24 years since I did any of it and I never miss it. https://hachyderm.io/@dalias/114608973862859551

This https://arxiv.org/abs/2312.01825 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Galois descent for motivic theories
We give necessary conditions for a category fibred in pseudo-abelian additive categories over the classifying topos of a profinite group to be a stack; these conditions are sufficient when the coefficients are $\mathbf{Q}$-linear. This applies to pure motives over a field in the sense of Grothendieck, Deligne-Milne and André, to mixed motives in the sense of Nori and to several motivic categories considered in arXiv:1506.08386 [math.AG]. We also give a simple proof of the exactness of a sequen…

Network Heterogeneity and Value of Information
Kota Murayama
https://arxiv.org/abs/2506.17660 https://arxiv.org/pdf/2506.17660…

Network Heterogeneity and Value of Information
This paper studies how payoff heterogeneity affects the value of information in beauty contest games. I show that public information provision is detrimental to welfare if and only if agents' Katz-Bonacich centralities exhibit specific forms of heterogeneity, stemming from the network of coordination motives. A key insight is that agents may value the commonality of information so differently that some are harmed by their neighbors knowing what others know. Leveraging this insight, I also show …

This https://arxiv.org/abs/2412.05071 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Motivic Riemann-Roch Theorem for Deligne-Mumford Stacks
We develop a motivic cohomology theory, representable in the Voevodsky's triangulated category of motives, for smooth separated Deligne-Mumford stacks and show that the resulting higher Chow groups are canonically isomorphic to the higher $K$-theory of such stacks. This generalises the Grothendieck-Riemann-Roch theorem to the category of smooth Deligne-Mumford stacks.