Graduate Student

In recent years, the directed landscape has been identified as the universal object describing certain 2-dimensional random metric models. Using some basic properties of the directed landscape, this talk will explore how we can arrive at non-unique, and semi-infinite geodesics. Some guiding themes will be: (i) What separates random geometry from non-random geometry (ii) What can we say about a random object, while using as little probability as possible. No background required.