Let x_1,...,x_n be an overdetermined spanning set for the Euclidean space R^k, where n > k. Let L be the integer span of these vectors. Then L is an additive subgroup of R^n. When is it discrete in R^n? Naturally, this depends on the choice of the spanning set, but in which way? We will […]
Let L be a full-rank lattice in R^n and write L+ for the semigroup of all vectors with nonnegative coordinates in L. We call a basis X for L positive if it is contained in L+. There are infinitely many such bases, and each of them spans a conical semigroup S(X) consisting of all nonnegative […]
Title: No-arbitrage Pricing in a Market for Position on a Multilane Freeway Speaker: Henry Schellhorn, Department of Mathematics, Claremont Graduate University Abstract: We introduce a trading mechanism allowing cars to […]
Many knot invariants are defined from features of knot projections such as arcs or crossings. Gauss diagrams provide an alternative combinatorial scheme for representing knots. In this talk we will […]
Title: Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City Speaker: Joan Ponce, Department of Mathematics, Arizona State University Abstract: Epidemiological models can provide the […]
There are two different measures of how far a given Euclidean lattice is from being orthogonal -- the orthogonality defect and the average coherence. The first of these comes from […]
Title: The mathematics of neural networks: recent advances, thoughts, and the path forward Speaker: Prof. Mikhail Belkin, Department of Mathematics, University of California San Diego Abstract: The recent remarkable practical […]
We introduce the notion of linear multifractional stable sheets in the broad sense (LMSS) to include both linear multifractional Brownian sheets and linear multifractional stable sheets. The purpose of the framework is to study the existence and joint continuity of the local times of LMSS, and also the local Holder condition of the local times […]
Title: Quantum chromatic numbers of products of quantum graphs Speaker: Rolando De Santiago, Department of Mathematics, Purdue University Abstract: Quantum graphs are an operator space generalization of classical graphs that […]
Graph products of groups were introduced in E. Green’s thesis in the 90’s as generalizations of Right-Angled Artin Groups. These have become objects of intense study due to their key roles in topology and group theory. Recently, Caspers and Fima introduced graph products of von Neumann algebras. Since their inception, several structural aspects such as […]
