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Mathoverflow.net news digest

  • 0 days

    Defining the GIGD Mechanism and the Mirror Hypothesis in Navier-Stokes Regularit...

    I have established a formal framework for 3D Navier-Stokes global regularity based on what I term Global Instantaneous Geometric Destruction (GIGD) and the Mirror Hypothesis (DOI: 10.5281/zenodo.17616422).The core of this discovery is a quadratic tilting...

  • 11 years

    A natural bijection between the orbit spaces of $p$-nilpotent matrices for varyi...

    Let $k$ be an algebraically closed field of characteristic $p$, call a matrix $X\in\mathfrak{gl}_n(k)$ $p$-nilpotent if $X^p=0$, and let $\mathcal{N}_1=\mathcal{N}_1(\mathfrak{gl}_n(k))$ be the set of all $p$-nilpotent matrices, on which $\mathrm{GL...

  • 0 days

    Contradiction in an article published in Annals of maths?

    In the article "Determination of the algebraic relations among special Γ-values in positivecharacteristic", Lemma 5.4.2 looks suspicious to me. Article can be downloaded freely at this address
    Consider the case $N=0$. In previous lemmas, the quantities $\mathbf{e^*}(T^{-i-1})$ and $\mathbf e(T^i)$ were proven to be separable algebraic over $\mathbb F_q(T)$. I agree with that....

  • 4 years

    Smooth cut-off in homogeneous Besov space

    Given a Littlewood-Paley decomposition
    $$1 = \chi(\xi) + \sum_{j \geq 0}\varphi(2^{-j} \xi), \quad \xi \in \mathbb R^n$$
    where $\chi$ is smooth, supported on a ball, and $\varphi$ is smooth, supported on an annulus, let's ​consider the homogeneous Besov space...

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