# Upcoming Events

For large combinatorial structures, two main notions of convergence can be defined: scaling limits and local limits. In particular, for graphs both notions are well-studied and well-understood. For permutations only a notion of scaling limits, called *permutons*, has been investigated in…

The Khovanov complex of a link *L* in a thickened annulus carries a filtration; the associated graded complex gives rise to the annular Khovanov homology of *L*. Grigsby-Licata-Wehrli show that this annular homology admits an action by the Lie algebra 𝖘𝖑2. Using…

We revisit the theorem of Hironaka that one can resolve the singularities of a singular, reduced closed subscheme X of a smooth scheme Y over a field of characteristic zero, such that the singular locus of X is transformed to a simple normal crossings divisor. We propose a computable yet…

The absolute trace of a totally positive algebraic integer is defined to be the average of its conjugate elements in $\mathbb{R}$. We show that there are infinitely many totally positive algebraic integers of absolute trace at most $1.81$ but only finitely many of absolute trace at most $1.80$.…