The graduate student seminar meets from 4 to 5:00 pm Thursdays in Goldsmith somewhere. Want to give a talk? Email Matt Cordes at mcordes@etc... for details.
In this (pizza) talk, I will (as usual) introduce the field of Diophantine approximation. I will discuss about the three main methods of the field: continued fractions, pigeon-hole principle, and dynamical system on the space of lattices.
Right angled artin groups (RAAGs) are a simple generalization of free and free abelian groups. Unlike those groups, they exhibit a rich collection of subgroups. We'll look at some of the surprising subgroups found inside them, and discuss the metric implications of some of these embeddings.