Tootfinder

A new addition to the zoo of isolated symplectic singularities
Callum Berry
https://arxiv.org/abs/2505.24524 https://arxiv.org/pdf/25…

A new addition to the zoo of isolated symplectic singularities
We give details of a new isolated symplectic singularity found in an affine chart in a crepant partial resolution of $\mathbb{C}^4/G_5$, which is 4-dimensional, isolated, and locally simply-connected. We distinguish the new singularity among all known such by the fact that the projective tangent cone at the singularity is non-reduced. We also find all 12 of its $\mathbb{Q}$-factorial terminalisations, in the process finding 24 for the quotient singularity $\mathbb{C}^4/G_5$.

Spršvným směrem – lepší orientační systémy pro českš zdravotnickš zařízení - https://spravnymsmerem.czechdesign.cz/
„85 % pacientů se při nšvštěvě zdravotnického zařízení ptš na cestu.”
„Personšl potřebuje průměrně 1,5 minuty, aby ztracenému pacientovi poradil a 5,3 minuty k tomu,…

Správným směrem – lepší orientační systémy pro česká zdravotnická zařízení
Když jde o zdraví, je každá minuta navíc drahá. Bohužel v českých nemocnicích se zpravidla dlouho bloudí. Proto jim pomáháme najít správný směr k srozumitelnější a praktičtější navigaci, a tím k rychlejší péči pro pacienty.

This https://arxiv.org/abs/2505.16093 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiple chordal SLE($κ$) and quantum Calogero-Moser system
We study multiple chordal SLE$(κ)$ systems in a simply connected domain $Ω$, where $z_1, \ldots, z_n \in \partial Ω$ are boundary starting points, and $q \in \partial Ω$ is an additional marked boundary point. Based on the framework introduced in \cite{Dub07}, we show that the partition functions in the upper half-plane $\mathbb{H}$ satisfy both the null vector equations and a dilatation equation with scaling constant $d$. We show that the presence of the marked boundary point $q$ intro…

A unified quaternion-complex framework for incompressible Navier-Stokes equations: new insights and implications
Farrukh A. Chishtie
https://arxiv.org/abs/2505.22853

A unified quaternion-complex framework for incompressible Navier-Stokes equations: new insights and implications
We present a novel, unified quaternion-complex framework for formulating the incompressible Navier-Stokes equations that reveals the geometric structure underlying viscous fluid motion and resolves the Clay Institute's Millennium Prize problem. By introducing complex coordinates $z = x + iy$ and expressing the velocity field as $F = u + iv$, we demonstrate that the nonlinear convection terms decompose as $(u \cdot \nabla)F = F \cdot \frac{\partial F}{\partial z} + F^* \cdot \frac{\partial F}{\p…

This https://arxiv.org/abs/2505.14762 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiple radial SLE($κ$) and quantum Calogero-Sutherland system
In this first of two articles, we study the multiple radial $\mathrm{SLE}(κ)$ systems with parameter $κ> 0$ -- a family of random multi-curve systems in a simply-connected domain $Ω$, with marked boundary points $z_1, \ldots, z_n \in \partial Ω$ and a marked interior point $q$. As a consequence of the domain Markov property and conformal invariance, we show that such systems are characterized by equivalence classes of partition functions, which are not necessarily conformally covariant. Nev…

„Da die Münchner Burgkmairstraße recht eng ist, parken viele Autofahrer mit zwei Rädern auf dem Gehweg. Das ist zwar nicht erlaubt, wurde aber jahrzehntelang geduldet. Bis vergangenen April. Seitdem zeigen zwei Passanten die Gehweg-Parker an.“ Gehweg-Parker anzeigen wirkt.

Unser #Fachinformationsdienst

So schlecht wie die #DigitalisierungInDeutschland in den Behörden größtenteils zu sein scheint, bin ich doch jedes Jahr wieder positiv über das #Elster Portal überrascht. Die #Steuererklärung