Tootfinder

They hoped solar panels would secure the future of their farm. Then their neighbors found out (Elizabeth Weise/USA Today)
https://www.usatoday.com/story/news/investigations/2024/02/04/solar-power-in-kansas/71920670007/

They hoped solar panels would secure the future of their farm. Then their neighbors found out
The reasons for local opposition vary. The motives behind them can be murky. But they often boil down to one idea: Renewables are fine, but we don’t want them here.

This https://arxiv.org/abs/2202.09394 has been replaced.
link: https://scholar.google.com/scholar?q=a

Algebraic cycles and functorial lifts from $G_2$ to $\mathrm{PGSp}_6$
We establish instances of Beilinson-Tate conjectures for automorphic representations of $\mathrm{PGSp}_6$ whose Spin $L$-function has a pole at $s=1$. Using the exceptional theta correspondence between the split group of type $G_2$ and $\mathrm{PGSp}_6$ and assuming the non-vanishing of a certain archimedean integral, this allows us to confirm a conjecture of Gross and Savin on rank $7$ motives of type $G_2$.

This https://arxiv.org/abs/2401.14127 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Universal Weil cohomology
We construct a new Weil cohomology for smooth projective varieties over a field, universal among Weil cohomologies with values in rigid additive tensor categories. A similar universal problem for Weil cohomologies with values in rigid abelian tensor categories also has a solution. We give a variant for Weil cohomologies satisfying more axioms, like Weak and Hard Lefschetz. As a consequence, we get a different construction of André's category of motives for motivated correspondences and show th…

Long Lost Song Hunted By Thousands Found in 80s Porno https://www.404media.co/ekt-everyone-knows-that-song-ulterior-motives-christopher-booth-porn/

Long Lost Song Hunted By Thousands Found in 80s Porno
The search is over for 'Everyone Knows That,' also known as 'Ulterior Motives' by Christopher Saint Booth, when it was found in the pornographic film "Angels of Passion."

Motivic interpretations for iterated integrals on some specific algebraic curves
Eisuke Otsuka
https://arxiv.org/abs/2404.01678 https://

Motivic interpretations for iterated integrals on some specific algebraic curves
Multiple zeta values (MZVs for short) can be represented as iterated integrals of $\mathbb{Q}$-rational algebraic differential forms on $\mathbb{P}^1(\mathbb{C})\setminus\{0, 1, \infty\}$. This interpretation allows us to consider MZVs geometrically, and this is one of the motivations for Deligne--Goncharov, Terasoma et al. to give motivic interpretations of MZVs by using the theory of mixed Tate motives and the motivic fundamental groups. In this paper, we consider the iterated integrals on …

Everyone Knows That aka. Ulterior Motives, a 16-second clip of a song which was uploaded in 2021 by carl92 has been found.
It turns out to be from an adult film from the 80s
This has been slightly edited to drown out... "noises"
https://www.youtube.com/watch?v=_rd4euNwCvo

“Compassion arises because you have nothing to hold on to, nothing to work with, no project, no personal gain, and ulterior motives.” Chögyam Trungpa

This https://arxiv.org/abs/2309.06967 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On motives of parabolic Higgs bundles and parabolic connections
Let $X$ be a compact Riemann surface of genus $g \geq 2$ and let $D\subset X$ be a fixed finite subset. We considered the moduli spaces of parabolic Higgs bundles and of parabolic connections over $X$ with the parabolic structure over $D$. For generic weights, we showed that these two moduli spaces have equal Grothendieck motivic classes and their $E$-polynomials are the same. We also show that the Voevodsky and Chow motives of these two moduli spaces are also equal. We showed that the Grothend…

This https://arxiv.org/abs/2401.17959 has been replaced.
link: https://scholar.google.com/scholar?q=a

University Students Motives and Challenges in Utilising Institutional Repository Resources
One of the core functions of an academic institution is to generate knowledge, disseminate it to the intended audiences, and preserve it for future use. Academic institutions are now establishing Institutional Repositories (IRs) to collect produced resources to facilitate accessibility, dissemination, utilization, and management of intellectual materials produced within an institution. This study aimed to assess postgraduate students motives for utilizing IR resources and the challenges they en…

Sexy Island - complete series 🏝️🎥🤪
Dramatized rom-com | Total listening time: 1h 30m
Two seasoned reality TV stars land on a mysterious island for a sexy new show, only to learn they’ve been kidnapped by their delusional host who has ulterior motives. Will they escape, and will they find true love?
#AudioFiction

Sexy Island - complete series 🏝️🎥🤪
Dramatized rom-com | Total listening time: 1h 30m Two seasoned reality TV stars land on a mysterious island for a sexy new show, only to learn they’ve been kidnapped by their delusional host who has ulterior motives. Will they escape, and will they find true love? 1 seasons, 6 episodes as of Apr 21, 2023.

A-upper motives
Charles De Clercq, Nikita Karpenko, Anne Qu\'eguiner-Mathieu
https://arxiv.org/abs/2403.11030 https://arxiv.org/p…

A-upper motives
Let $E/F$ be a finite field extension with every intermediate field being Galois over $F$. Given a reductive group $G$ over $F$ such that $G_E$ is of inner type, we define its A-upper motives. These motives are indecomposable and naturally related with the indecomposable summands in the motives of spectra of intermediate fields in $E/F$. We show that motives of projective homogeneous varieties under $G$ are isomorphic to direct sums of Tate shifts of A-upper motives. Based on that, we get a cla…

Hey friends 🙋
About 3 weeks ago, I went to one of my "standard" summits. This day without my wife and with the aim of really spending time at the summit taking photos. That was really a bit different from regular hiking: taking ways more time looking around for motives, going here and there, even lying down on the ground taking photos at ground level.
#nature

Motives
L. Barbieri-Viale
https://arxiv.org/abs/2403.17825 https://arxiv.org/pdf/2403.17825…

Motives
Making a survey of recent constructions of universal cohomologies we suggest a new framework for a theory of motives in algebraic geometry.

Some concerns about the potential influence of private profit motives on the quality and accessibility of education
https://easysociology.com/sociology-of-education/the-link-between-private-profit-and-academisation-in-sociology/

Radek Sikorski, minister of foreign affairs of Poland on X:
"Let’s be clear on this: when a commentator or a politician calls for ‚peace’ and simultaneously advocates denying the victim of aggression the means to defend herself they actually mean that the victim should capitulate.
Such Chamberlainism usually covers baser motives."
Harsh but true words. He is talking about Scholz for example.

Motives
L. Barbieri-Viale
https://arxiv.org/abs/2403.17825 https://arxiv.org/pdf/2403.17825…

Motives
Making a survey of recent constructions of universal cohomologies we suggest a new framework for a theory of motives in algebraic geometry.

Competition and Collaboration in Crowdsourcing Communities: What happens when peers evaluate each other?
Christoph Riedl, Tom Grad, Christopher Lettl
https://arxiv.org/abs/2404.14141

Competition and Collaboration in Crowdsourcing Communities: What happens when peers evaluate each other?
Crowdsourcing has evolved as an organizational approach to distributed problem solving and innovation. As contests are embedded in online communities and evaluation rights are assigned to the crowd, community members face a tension: they find themselves exposed to both competitive motives to win the contest prize and collaborative participation motives in the community. The competitive motive suggests they may evaluate rivals strategically according to their self-interest, the collaborative mot…

Ranks of 1-motives as dimensions of Ext$^1$ vector spaces
Nicola Nesa
https://arxiv.org/abs/2403.04271 https://arxiv.org/pdf/2403.042…

Ranks of 1-motives as dimensions of Ext$^1$ vector spaces
We reformulate the ranks that appear in the dimension formula for the linear space of periods of a 1-motive established by Huber and Wüstholz in a more conceptual and categorical way, as dimensions of Ext$^1$ vector spaces. This constitutes the first step towards rewriting the dimension formula purely in general categorical terms, rather than through definitions and computations introduced ad hoc for 1-motives.

This https://arxiv.org/abs/2301.01099 has been replaced.
link: https://scholar.google.com/scholar?q=a

Logarithmic motives with compact support
We develop a theory of motives with compact support for logarithmic schemes over a field. Starting from the notion of finite logarithmic correspondences with compact support, we define the logarithmic motive with compact support analogous to the classical case for schemes. We then establish an analog of a Gysin sequence and, assuming resolution of singularities, a K{ü}nneth formula. This implies that our theory is $\overline{\square}$-invariant, which presents a critical feature that is absent…

This https://arxiv.org/abs/2309.04193 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Robust equilibria in cheap-talk games with fairly transparent motives
For cheap-talk games with a binary state space in which the sender has state-independent preferences, we characterize equilibria that are robust to introducing slight state-dependence on the side of the sender. Not all equilibria are robust, but the sender-optimum is always achieved at some robust equilibrium.

[DE]: Das Original ("Rassistische Motive?
Gewaltvorwürfe gegen Lehrer aus #Cottbus") findet sich dann mühsam im Wust abschreibender, aber nicht ordentlich quellen-verlinkender #Medien.
[EN]: The original ("Racist motives? Allegations of violence against a teacher from C…

On algebraic independence of Taylor coefficients of certain Anderson-Thakur series
Daichi Matsuzuki
https://arxiv.org/abs/2404.16427 https://

On algebraic independence of Taylor coefficients of certain Anderson-Thakur series
We study algebraic independence problem for the Taylor coefficients of the Anderson-Thakur series arisen as deformation series of positive characteristic multiple zeta values (abbreviated as MZV's). These Taylor coefficients are simply specialization of hyperderivatives of the Anderson-Thakur series. We consider the prolongation of t-motives associated with MZV's, and then determine the dimension of the t-motivic Galois groups in question under certain hypothesis. By using Papanikolas' theory, …

An introduction to mixed Tate motives
Cl\'ement Dupont
https://arxiv.org/abs/2404.03770 https://arxiv.org/pdf/2404.03770

An introduction to mixed Tate motives
Mixed Tate motives are central objects in the study of cohomology groups of algebraic varieties and their arithmetic invariants. They also play a crucial role in a wide variety of questions related to multiple zeta values and polylogarithms, algebraic K-theory, hyperbolic geometry, and particle physics among others. This survey article is an introduction to mixed Tate motives and their many facets. It was written for the proceedings of the Summer School on Motives and Arithmetic Groups held in …

The multi-wavelength phase curves of small bodies: Phase coloring
Alvaro Alvarez-Candal
https://arxiv.org/abs/2402.11113 https://arxi…

The multi-wavelength phase curves of small bodies: Phase coloring
Context. Small bodies change their brightness due to different motives: Rotation along their axis or axes, combined with irregular shapes and/or changing surface properties, or changes in the geometry of observations. In this work, we tackle the problem of Phase curves, which show the change in brightness due to changes in the fraction of illuminated surface as seen by the observer. Aims. We aim to study the effect of the phase curves in the five wavelengths of the Sloan Digital Sky Survey in s…

Motives, Periods, and Functoriality
Pierre Deligne, A. Raghuram
https://arxiv.org/abs/2403.03342 https://arxiv.org/pdf/2403.03342

Motives, Periods, and Functoriality
Given a pure motive $M$ over $\mathbb{Q}$ with a multilinear algebraic structure $\mathsf{s}$ on $M$, and given a representation $V$ of the group respecting $\mathsf{s}$, we describe a functorial transfer $M^V$. We formulate a criterion that guarantees when the two periods of $M^V$ are equal. This has an implication for the critical values of the $L$-function attached to $M^V.$ The criterion is explicated in a variety of examples such as: tensor product motives and Rankin-Selberg $L$-functions;…

This https://arxiv.org/abs/2011.14720 has been replaced.
link: https://scholar.google.com/scholar?q=a

Morava K-theory of orthogonal groups and motives of projective quadrics
We compute the algebraic Morava K-theory ring of split special orthogonal and spin groups. In particular, we establish certain stabilization results for the Morava K-theory of special orthogonal and spin groups. Besides, we apply these results to study Morava motivic decompositions of orthogonal Grassmannians. For instance, we determine all indecomposable summands of the Morava motives of a generic quadric.

Structural colors with embedded anti-counterfeit features fabricated by laser-based methods
Sascha Teutoburg-Weiss, Marcos Soldera, Felix Bouchard, Joshua Kre{\ss}, Yana Vaynzof, Andr\'es Fabi\'an Lasagni
https://arxiv.org/abs/2404.11254

Structural colors with embedded anti-counterfeit features fabricated by laser-based methods
Structural colors can be induced on metals not only to fabricate logos or decorative motives but also to embed anti-counterfeit features for product protection. In this study, stainless steel (EN 1.4301) plates are colorized by growing a thin oxide layer using direct laser writing (DLW) and hidden anti-counterfeit measures are included on their surfaces by direct laser interference patterning (DLIP) processing. The periodic microstructures resulting from the DLIP treatment have a spatial period…

This https://arxiv.org/abs/2309.03419 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Motives for Delegating Financial Decisions
Why do some investors delegate financial decisions to supposed experts? We report a laboratory experiment designed to disentangle four possible motives. Almost 600 investors drawn from the Prolific subject pool choose whether or not to delegate a real-stakes choice among lotteries to a previous investor (an ``expert'') after seeing information on the performance of several available experts. We find that a surprisingly large fraction of investors delegate even trivial choice tasks, suggesting a…

The motivic Hecke algebra for PEL Shimura varieties
Mattia Cavicchi
https://arxiv.org/abs/2403.19568 https://arxiv.org/pdf/2403.19568…

The motivic Hecke algebra for PEL Shimura varieties
We construct a motivic lift of the action of the Hecke algebra on the cohomology of PEL Shimura varieties $S_K$. To do so, when $S_K$ is associated with a reductive algebraic group $G$ and $V$ is a local system on $S_K$ coming from a $G$-representation, we define a motivic Hecke algebra $\mathcal{H}^M(G,K)$ as a natural sub-algebra of the endomorphism algebra, in the triangulated category of motives, of the constructible motive associated with $S_K$ and $V$. The algebra $\mathcal{H}^M(G,K)$ is …

Motivic Gauss and Jacobi sums
Noriyuki Otsubo, Takao Yamazaki
https://arxiv.org/abs/2402.06072 https://arxiv.org/pdf/2402.06072

Motivic Gauss and Jacobi sums
We study the Gauss and Jacobi sums from a viewpoint of motives. We exhibit isomorphisms between Chow motives arising from the Artin-Schreier curve and the Fermat varieties over a finite field, that can be regarded as (and yield a new proof of) classically known relations among Gauss and Jacobi sums such as Davenport-Hasse's multiplication formula. As a key step, we define motivic analogues of the Gauss and Jacobi sums as algebraic correspondences, and show that they represent the Frobenius endo…

This https://arxiv.org/abs/2211.14303 has been replaced.
link: https://scholar.google.com/scholar?q=a

A motivic integral $p$-adic cohomology
We construct an integral $p$-adic cohomology that compares with rigid cohomology after inverting $p$. Our approach is based on the log-Witt differentials of Hyodo-Kato and log-étale motives of Binda-Park-Østvær. In case $k$ satisfies resolutions of singularities, we moreover prove that it agrees with the "good" integral $p$-adic cohomology of Ertl-Shiho-Sprang: from this we deduce some interesting motivic properties and a Künneth formula for the $p$-adic cohomology of Ertl-Shiho-Sprang.

Rational motives on pro-algebraic stacks
Can Yaylali
https://arxiv.org/abs/2403.03596 https://arxiv.org/pdf/2403.03596

Rational motives on pro-algebraic stacks
We define an $\infty$-category of rational motives for cofiltered limits of algebraic stacks, so-called pro-algebraic stacks. We show that it admits a $6$-functor formalism for certain classes of morphisms. We deal with three examples that are included in this formalism. The stack of Barsotti-Tate groups, seen as a pro-algebraic stack via its truncations, the base change of an algebraic stack $X$ over a field $k$ to a Galois extension $L$, and a pro-algebraic stack related to Edidin-Graham's co…

Error terms for the motives of discriminant complements and a Cayley-Bacharach theorem
Ishan Banerjee
https://arxiv.org/abs/2403.07272 https://

Error terms for the motives of discriminant complements and a Cayley-Bacharach theorem
In this paper we prove under some simplifying hypotheses questions of Picoco and Levinson-Ullery on Cayley-Bacharach sets. Our results imply that, under suitable hypotheses Cayley-Bacharach sets lie on curves of low degree. We then use these results to estimate error terms to the normalized motive of the space of smooth degree $d$ hypersurfaces in $\mathbb{P}^n$as $d$ grows to infinity. The error term can be expressed in terms of a certain `sum over points' on plane cubic curves and the associa…

This https://arxiv.org/abs/2307.16657 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Cell decomposition, dual boundary complexes, and motives of character varieties
The weak geometric P=W conjecture of L. Katzarkov, A. Noll, P. Pandit, and C. Simpson asserts that for any smooth Betti moduli space $\mathcal{M}_B$ of complex dimension $d$ over a punctured Riemann surface, the dual boundary complex $\mathbb{D}\partial\mathcal{M}_B$ is homotopy equivalent to a $(d-1)$-dimensional sphere. Here, we consider $\mathcal{M}_B$ as a generic $GL_n(\mathbb{C})$-character variety defined on a Riemann surface of genus $g$, with local monodromies specified by generic semi…

This https://arxiv.org/abs/2404.01678 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Motivic interpretations for iterated integrals on some specific algebraic curves
Multiple zeta values (MZVs for short) can be represented as iterated integrals of $\mathbb{Q}$-rational algebraic differential forms on $\mathbb{P}^1(\mathbb{C})\setminus\{0, 1, \infty\}$. This interpretation allows us to consider MZVs geometrically, and this is one of the motivations for Deligne--Goncharov, Terasoma et al. to give motivic interpretations of MZVs by using the theory of mixed Tate motives and the motivic fundamental groups. In this paper, we consider the iterated integrals on …

This https://arxiv.org/abs/2304.02288 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

$T$-equivariant motives of flag varieties
We use the construction of the stable homotopy category by Khan-Ravi to calculate the integral $T$-equivariant $K$-theory spectrum of a flag variety over an affine scheme, where $T$ is a split torus associated to the flag variety. More precisely, we show that the $T$-equivariant $K$-theory ring spectrum of a flag variety is decomposed into a direct sum of $K$-theory spectra of the classifying stack $\text{B}T$ indexed by the associated Weyl group. We also explain how to relate these results to …

This https://arxiv.org/abs/1512.02320 has been replaced.
link: https://scholar.google.com/scholar?q=a

Algebraic part of motivic cohomology with compact supports
Motivated by Murre's work on universal regular homomorphisms on Chow groups in codimension $2,$ we generalize the algebraic equivalence relation and regular homomorphisms to the context of Voevodsky motives over a field. In the Nisnevich topology, we prove the existence of \emph{universal} regular homomorphisms for a certain class of motivic cohomology groups, recovering Murre's theorem and the existence of Picard and Albanese varieties as special cases. This class also includes interesting cas…

This https://arxiv.org/abs/1512.02320 has been replaced.
link: https://scholar.google.com/scholar?q=a

Algebraic part of motivic cohomology with compact supports
Motivated by Murre's work on universal regular homomorphisms on Chow groups in codimension $2,$ we generalize the algebraic equivalence relation and regular homomorphisms to the context of Voevodsky motives over a field. In the Nisnevich topology, we prove the existence of \emph{universal} regular homomorphisms for a certain class of motivic cohomology groups, recovering Murre's theorem and the existence of Picard and Albanese varieties as special cases. This class also includes interesting cas…

Motivic six-functor formalism for log schemes
Doosung Park
https://arxiv.org/abs/2403.07645 https://arxiv.org/pdf/2403.07645

Motivic six-functor formalism for log schemes
We establish the motivic six-functor formalism for fs log schemes. In particular, we prove the exact base change property, projection formula, and Poincaré duality. We also define Borel-Moore motivic homology, G-theory, and Chow homology of fs log schemes and the category of Chow motives over fs log schemes.

This https://arxiv.org/abs/2102.12246 has been replaced.
link: https://scholar.google.com/scholar?q=a

Lie algebroid connections, twisted Higgs bundles and motives of moduli spaces
Let $\mathcal{L}=(L,[\cdot\,,\cdot],δ)$ be an algebraic Lie algebroid over a smooth projective curve $X$ of genus $g\geq 2$ such that $L$ is a line bundle whose degree is less than $2-2g$. Let $r$ and $d$ be coprime numbers. We prove that the motivic class of the moduli space of $\mathcal{L}$-connections of rank $r$ and degree $d$ over $X$ does not depend on the Lie algebroid structure $[\cdot\,,\cdot]$ and $δ$ of $\mathcal{L}$ and neither on the line bundle $L$ itself, but only on the degree…