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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.

Doucement mais sûrement, fumer va devenir compliqué....
Merci aux fumeurs pour leurs efforts
L’interdiction de fumer dans les parcs, Š la plage et aux abords des écoles entre en vigueur dès dimanche
https://…

L’interdiction de fumer dans les parcs, les plages et aux abords des écoles entre en vigueur dès dimanche
Le décret, paru samedi au Journal officiel, n’évoque pas de contravention en cas d’infraction mais prévoit un renforcement des sanctions pour la vente de tabac et de produits de vapotage aux mineurs.

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Cayucas:
🎵 Cayucos
#Cayucas
https://cayucas.bandcamp.com/track/cayucos
https://open.spotify.com/track/5VUe6B0429dz4a4yysYZS1

Unstable \'etale motives
Klaus Mattis
https://arxiv.org/abs/2507.20320 https://arxiv.org/pdf/2507.20320

Unstable étale motives
We prove a rigidity result for certain $p$-complete étale $\mathbf{A}^{1}$-invariant sheaves of anima over a qcqs finite-dimensional base scheme $S$ of bounded étale cohomological dimension with $p$ invertible on $S$. This generalizes results of Suslin--Voevodsky, Ayoub, Cisinski--Déglise, and Bachmann to the unstable setting. Over a perfect field we exhibit a large class of sheaves to which our main theorem applies, in particular the $p$-completion of the étale sheafification of …

Helle ja kuivuus uuvuttavat taas pihojen pienet eläimet – ”Jokainen voi auttaa”, sanoo kokenut eläintenhoitaja #ympäristö …

Helle ja kuivuus uuvuttavat taas pihojen pienet eläimet – ”Jokainen voi auttaa”, sanoo kokenut eläintenhoitaja
Nyrkinkokoisia siilejä ja tervapääskyn poikasia tuodaan villieläinhoitoloihin ja vapaaehtoisille nyt hoidettavaksi paljon. Ihmiset ovat huolissaan eläinlasten selviytymisestä.

To Microsoft Copilot: How does a Neuralink Blindsight brain implant compare to visual-to-auditory sensory substitution? #AI

How does a Neuralink Blindsight brain implant compare to visual-to-auditory sensory substitution?
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The Unreasonable Effectiveness of Mathematical Experiments: What Makes Mathematics Work
Asvin G
https://arxiv.org/abs/2506.19787 https://

The Unreasonable Effectiveness of Mathematical Experiments: What Makes Mathematics Work
This essay proposes a reconceptualization of mathematics as an experimental science exploring patterns in computation and what the advent of AI-assited provers might imply in light of this reconceptualization. Beginning with Voevodsky's crisis of confidence, where a major result remained in limbo for 24 years, neither proven nor refuted, we argue that mathematics is not the discovery of eternal truths but theory-building in response to computational experiments. Just as physicists build theorie…

The Morel-Voevodsky Construction over Algebraic Stacks
Neeraj Deshmukh, Felix Sefzig
https://arxiv.org/abs/2506.12820 https://arxiv.o…

The Morel-Voevodsky Construction over Algebraic Stacks
In this article, we give a construction of the (un-)stable motivic homotopy category of an algebraic stack in the spirit of Morel-Voevodsky. We prove that this new construction agrees with the stable motivic homotopy category defined by Chowdhury and D'Angelo. As an application, we extend Bachmann's spectral rigidity theorem to algebraic stacks. Moreover, we extend the construction of the framed motivic homotopy category to algebraic stacks and prove Hoyois' Reconstruction Theorem in this setti…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Go‐Go’s:
🎵 Girl of 100 Lists
#GoGos
https://open.spotify.com/track/4Um0YTAvyvODXqiWQEma5M

🇺🇦 #NowPlaying on KEXP's #SundaySoul
Change:
🎵 Searching
#Change
https://cyrilthewolf.com/track/change-2
https://open.spotify.com/track/3vE6VYTG7LytVOvVTc3PBb