Fortnightly links (61)

Minseon Shin: The cohomological Brauer group of a torsion $\mathbb{G}_{\mathfrak{m}}$-gerbe is a fun preprint explaining how the Brauer–Severi scheme of a Brauer class behaves in the same way as the $\mathbb{G}_{\mathfrak{m}}$-gerbe associated to this class. Indeed, for $\alpha\in\operatorname{Br}'(X)$ it is a classical fact due to Gabber that $\operatorname{Br}'(\operatorname{BS}(\alpha))$ is the quotient of $\operatorname{Br}'(X)$ by the class $\alpha$, and it turns out that the same is true for $\operatorname{Br}'(\mathcal{X})$, where $\mathcal{X}$ is the $\mathbb{G}_{\mathfrak{m}}$-gerbe over $X$ associated to $\alpha$.

RRAGE: Ragnar's ramifications in algebra and geometry emerging workshop is a workshop dedicated to the work of Ragnar Buchweitz. I don't often announce conferences on my blog (see ncag.info for this), but for Ragnar I am making an exception.

George Dimitrov, Ludmil Katzarkov: Non-commutative curve-counting invariants introduces the idea of counting Kronecker quivers inside triangulated categories. It turns out that this can shed light on the Markov conjecture (stated by Frobenius actually, in 1913), which says that an integer solution $(a,b,c)$ with $a