Previous Conferences & Workshops

Abstract: The general rule for the interactions between tropical geometry and moduli spaces of course is the following: everything you may wish is going to work like a charm in genus zero, and break down horribly in higher genus. This is the case...

We discuss what a "typical" short curve on a random large genus hyperbolic surface looks like. In particular, for each $L$, there are finitely many curves of length at most $L$. We find length scales at which such a curve chosen at random is highly...

Abstract: In his 2018 paper "Some Schubert shenanigans" Richard Stanley asked for the asymptotic behavior of the maximal principle specialization of a Schubert polynomial. Motivated by this, still open, question we explore the generalization to...

Abstract: We present new objects called quilts of alternating sign matrices with respect to two given posets. Quilts generalize several commonly used concepts in mathematics. For example, the rank function on submatrices of a matrix gives rise to a...

We present a new method to solve algorithmic and combinatorial problems by (1) reducing them to bounding the maximum, over x in {-1, 1}^n, of homogeneous degree-q multilinear polynomials, and then (2) bounding the maximum value attained by these...

Abstract: For a smooth projective variety, the classical Hirzebruch--Riemann--Roch (HRR) theorem asserts the isomorphism between the Chow ring and the Grothendieck K-ring of vector bundles over rational coefficients. For certain toric varieties, we...

Arthur proposed a description of automorphic forms in terms of tempered automorphic forms for centralizers of SL2 homomorphisms. I will explain a point of view on the Arthur parameterization in the setting of function fields coming from relative...

Abstract: There has been a lot of recent work connecting the two pipe dream formulae for Schubert polynomials (classic and bumpless). One strand is the hybrid pipe dreams of Udell and myself, giving $2^n$ different pipe dream formulae; an orthogonal...

Abstract: Chow rings of toric varieties feature a rich combinatorial structure of independent interest. We will begin by surveying four different ways of computing in these rings, due to Billera, Brion, Fulton–Sturmfels, and Allermann–Rau. We will...