Past Events

Every curve has an abelian variety associated to it, called the Jacobian. Poincaré's total reducibility theorem states that any abelian variety is isogenuous to a product of simple abelian varieties. We are interested to know this decomposition for...

Given two graphs H and G, the homomorphism density t(H,G) represents the likelihood that a random mapping from V(H) to V(G) is a homomorphism. Sidorenko Conjecture states that for any bipartite graph H, t(H,G) is greater or equal to t(K_2,G)^{e(H)}...

The Bar and Cobar functors pair up to form an adjunction between the category of dg-algebras and dg-coalgebras. This adjunction can be used as a tool to provide a quasi-free resolution for any dg-algebra. We work out such a resolution for the case of...

Order convergence on a partially ordered set is a topological-like structure induced by the order, which usually fails to be an "actual" topology. However, on Boolean algebras and vector lattices this convergence satisfies the definition of a so...

We prove a new signed elementary symmetric function expansion of the chromatic quasisymmetric function of any natural unit interval graph. We then use sign-reversing involutions to prove new combinatorial formulas for melting lollipops and for K...

The Lorentz gas was originally introduced as a model for the movement of electrons in metals. It consists of a massless point particle (electron) moving through Euclidean space bouncing off a given set of scatterers $\mathcal{S}$ (atoms of the metal)...

The celebrated Erdõs similarity problem asks if it is always possible to construct a set of positive Lebesgue measure that does not contain any (nontrivial) affine copy of a given infinite set. The problem remains widely open. In this talk, I will...

Given an arbitrary probability measure $\mu$ on $PSU(1,1)$, understanding the structure of $\mu$-stationary measures is a notoriously difficult problem, in particular, due to the number of different settings one can work in. The answer is known to...

Fix $N\geq 1$ and let $L_1, L_2, \ldots, L_N$ be Dirichlet L-functions with distinct, primitive and even Dirichlet characters. We assume that these functions satisfy the same functional equation. Let $F(s)∶= c_1L_1(s)+c_2L_2(s)+\ldots+c_NL_N(s)$ be a...