Previous Conferences & Workshops

A construction of Thurston assigns a hyperbolic 3-manifold to any polyhedron; a natural question is: which such are arithmetic? We report on ongoing work aiming to answer this question. 

CAT(0) cube complexes are cell complexes whose cells are cubes, whose naturally defined metric is non-positively curved in some precise sense. 

They can be equivalently defined in a variety of ways, which a priori looks very different. They naturally...

The ring of symmetric functions has a linear basis of Schur functions $s_{\lambda}$ indexed by partitions $\lambda = (\lambda_1 \geq \lambda_2 \geq \ldots \geq 0 )$. Littlewood-Richardson coefficients $c^{\nu}_{\lambda, \mu}$ are the structure...

Sand drawings appear in many cultures coming, for instance, from South India, Oceania, and Africa.

We will focus on the Chowke people who have a beautiful tradition that combines mathematics and storytelling. In their free time, they would engage in...

The Borel-Weil-Bott theorem gives a method for constructing the irreducible representations of a connected compact Lie group on cohomology spaces associated to line bundles on flag varieties.  In this lecture, we review the necessary background from...

A remarkable result of Brändén and Huh tells us that volume polynomials of projective varieties are Lorentzian polynomials. The dual notion of covolume polynomials was introduced by Aluffi by considering the cohomology classes of subvarieties of a...

Motivated by the quantum unique ergodicity conjecture, we examine semiclassical measures for Laplace eigenfunctions on compact hyperbolic $n$-manifolds. We prove their support must contain the cosphere bundle of a compact immersed totally geodesic...

In this talk, I will discuss some results concerning the geometry and topology of manifolds on which the first eigenvalue of the operator -γΔ + Ric is bounded below. Here, γ is a positive number, Δ is the Laplacian, and Ric denotes the pointwise...