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Mathoverflow.net news digest

  • 0 days

    The additive structure of friable integers and powerfree numbers

    The set of sums of a fixed ammount of primes (resp. $n$-th powers) is a classical object, being the subject of Vinogradov's theorem (resp. Waring's problem). I would like to ask about sums of friable integers. Specifically, can you give explicit, finite...

  • 2 years

    Normal curvature of Veronese embedding

    Is it true that the Veronese embedding minimizes the maximal normal curvature among all smooth embeddings $\mathbb{R}\mathrm{P}^n\hookrightarrow \mathbb{S}^N$?
    Remarks
    The Veronese embedding $\mathbb{R}\mathrm{P}^n\hookrightarrow \mathbb{S}^{(n+3)\cdot n/2}$ describes a minimal surface. Its induced metric tensor $=2\times$(canonical metric on $\mathbb{R}\mathrm{P}^n$). It sends geodesics of $\mathbb{R}\mathrm{P}^n...

  • 16 years

    Outer automorphisms of simple Lie Algebras

    There is, of course, a complete classification for simple complex Lie algebras. Is there a good reference which lists the group of outer automorphisms for each?

  • 0 days

    Dennis trace for Efimov K-theory

    In the paper, "A universal characterization of higher algebraic K-theory", available for example as arXiv:1001.2282, Blumberg, Gepner, and Tabuada give a characterization of the Dennis trace map $K \rightarrow HH$ as the unit $1 \in \pi_0 \operatorname...

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