MathOverflow

$\newcommand{\Sha}{\text{Ш}}$Let $k$ be a number field with absolute Galois group $\Gamma=\text{Gal}(\bar k/k)$. Let $M$ be a finite $\Gamma$-module. Let $V_k$ denote the set of places of $k$, and assume that for some place $v\in V_k$ we have $M^{\Gamma...

Let $Z$ be a $\{0, 1\}$-valued Bernoulli random variable, taking value $1$ with probability $0 < p < 1$. Let
$$\mathcal H(Z) := -p \log p - (1-p) \log (1-p)$$denote the entropy of $Z$.
Question: Suppose $M_t, N_t$ are martingales with common initial value and terminal value:...

In a recent MathOverflow discussion about Delsarte-type bounds for the unit distance graph of the plane,(Is the Lovász theta function tight for the unit distance graph of the plane? chromatic number) (Is the Lovász theta function tight for the unit distance...

I would like to have an "interesting" example of a triangulated category $T$ with a $t$-structure $t$ on it such that
$T$ is well generated (yet I would prefer it not to be compactly generated);
The heart of $t$ is the category of (all left) modules over some ring $R$....