$\DeclareMathOperator\SL{SL}$By a result due to Ellenberg and McReynolds, any finite index subgroup $\Gamma$ of $\Gamma(2) \subset \SL\left(2,\mathbb{Z}\right)$ is the Veech group of an arithmetic Teichmüller curve. Using these techniques, Matheus and Weitze-Schmithüsen construct explicit familie...
In Bennett, Carbery and Wright's paper A non-linear generalisation of the Loomis–Whitney inequality and applications, Claim 5 was used to generalise the case from characteristic functions to simple functions. I figured that through direct calculations, we can obtain
$$\int_U\displaystyle\prod_{j=...
I study algebraic geometry / number theory and from time to time I stumble upon 2-categorical (co)limits. I have two main examples in mind:
Example 1) In étale cohomology, the (triangulated) derived category of $\overline{\mathbb{Q}_\ell}$-sheaves is defined as a 2-colimit of the derived categor...
This question is a kind of "dual" to an earlier one of mine.
Although I don't know a reference for this, it's easy to show the following result:
Suppose $G$ is a game in which neither player has a winning strategy. Then for any countable set $S$ of strategies for one player there is a single str...
Listing bounties and HNQs
Listing bounties and HNQs