Past Events
Introduced by Mallows in statistical ranking theory, Mallows permutation model is a class of non-uniform probability measures on the symmetric group that are biased towards the identity. The general model depends on a distance metric that can be chosen from a host of metrics on permutations. In…
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 $1.80$.…
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 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.…
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…
I will present recent progress on the structure of the derived category of the moduli space of stable vector bundles on a curve. This talk is based on ongoing joint work with Kyoung-Seog Lee.
In this talk, we will speak about algebraic K-theory of vector bundles twisted by a Brauer class, and its place in motivic homotopy theory. In particular, we will discuss a new approach to the motivic spectral sequence for twisted K-theory, constructed earlier by Bruno Kahn and Marc Levine…
Infinite dimensional analogues of classical formulas from the theory of p-adic groups give rise to a certain correction factor. For example, Macdonald's formula for the spherical function and the Casselman-Shalika…
The commutative (trigonometric) shuffle algebra is known to be isomorphic to the ring of symmetric functions (arxiv.org/abs/0904.2291v1). In this isomorphism one writes an integral operator where the shuffle algebra…