Past Events

Abstract: In this talk I will outline the geometric ingredients of smooth compactifications of the heterotic string. This includes an SU(3) structure manifold (for example, a Calabi-Yau threefold) and a holomorphic, Mumford poly-stable vector bundle...

Abstract: How to apply the mathematical theory of probability to real world problems? Interpretations of "what is probability" have led to the Bayesian and frequentist schools. In very elementary terms, I try to show how Gibbs' theory stitches...

Recent progress in model theory is changing our understanding of how the finite and infinite interact. One aspect of this story has to do with the emerging appearance of complexity in so-called simple unstable theories, which provide a model...

A two-stage enrichment design is a type of adaptive design, which extends a stratified design with a futility analysis on the marker negative cohort at the first stage, and the second stage can be either a targeted design with only the marker...

Shortcut graphs are graphs in which long enough cycles cannot embed without metric distortion. Shortcut groups are groups which act properly and cocompactly on shortcut graphs. These notions unify a surprisingly broad family of graphs and groups of...

Protocols and devices that exploit quantum mechanical effects can outperform their classical counterparts in certain tasks ranging from communication and computation to sensing. Intuitively speaking, the reason for this is that different physical...

We consider the linear wave equation with the time-dependent scale-invariant damping. (We also treat the corresponding equation with the energy critical nonlinearity if time permits.) Our aim is to show that the solution scatters to a modified linear...

In this talk I will discuss activated random walk (ARW) and the stochastic sandpile (SSM), two interacting particle systems that exhibit a phase transition on infinite domains and self-organized criticality on finite domains. ARW and SSM both consist...

Mean Field Game (MFG) theory studies strategic decision problems in large populations of interacting agents, which is now widely applied in economics, financial markets, engineering, social science, and many other areas. The generalization of...

Abstract: Zero mean, identically, independently distributed (i.i.d.) error is implicitly assumed in many data analysis algorithms. These assumptions are explained in example simulated data sets. Strategies to recognize violations in these assumptions...