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Mathoverflow.net news digest

  • 0 days

    Prerequisites for $\operatorname{LMod}_A(\mathcal C)$ to be compactly generated

    Given a monoidal $\infty$-category $\mathcal C$ and an algebra object $A$ in $\mathcal C$, it is stated that $\operatorname{LMod}_A(\mathcal C)$ is compactly generated if $\mathcal C$ is compactly generated, and $A\otimes -$ preserves colimits in this...

  • 6 years

    Worst case performance of heuristic for the non-Eulerian windy postman problem

    The windy postman problem seeks the cheapest tour in a complete undirected graph, that traverses each edge at least once; the cost of traversing an edge is positive and may depend on the direction, in which an edge is traversed.
    It can be assumed that the graph is complete....

  • 0 days

    Weight $1$ Eisenstein series for $\Gamma_1(N)$ at all cusps: what is the result ...

    I've already asked this question on MSE. I'm posting the question here in the hope to get some good references.
    I was reading A First Course in Modular Forms from Fred Diamond and Jerry Shurman, and I wanted to determine the values of Eisenstein series of weight $1$ for $\Gamma_1(N)$ at all cusps. Let $N>2$ be a positive integer and $v=(c_v,d_v)\in(\mathbb...

  • 0 days

    A decomposition of an open bounded set into cubes that intersect the boundary

    Suppose that $\Omega \subseteq \mathbb{R}^n$ is an open, non empty bounded set. I would like to construct a family of closed cubes $\{ Q_j\}$ with the following properties.
    \begin{align}&Q_j^\circ \subseteq \Omega \\&\Omega \subseteq \bigcup_j Q_j \\&Q_j^\circ \cap Q_k^\circ = \emptyset, \,\,\, \forall k \neq j \\&Q_j \cap \partial \Omega \neq \emptyset, \,\,\, \forall j.\end{align}...

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