# Aisenstadt Chair

##### [ Français ]

**Scott Sheffield ** (MIT)

September 2 - 5, 2016

## PUBLIC LECTURE - Friday, September 2, 2016 - 4:00 pm - Room 6214

*Universal Randomness in 2D* [ video ]

ABSTRACT: I will introduce several universal and canonical random objects that are (at least in some sense) two dimensional or planar, along with discrete analogs of these objects. In particular, I will introduce probability measures on the space of paths, the space of trees, the space of surfaces, and the space of growth processes. I will argue that these are in some sense the most natural and symmetric probability measures on the corresponding spaces. I will then describe several surprising relationships between these canonical objects. Many of these ideas have been historically motivated by physics —- especially string theory, conformal field theory, and statistical mechanics.

## Sunday, September 4, 2016 - 10:30 am - Room 6214

*More universal randomness in 2D and its relationship to gauge theory* [ video ]

ABSTRACT: I will continue the narrative begun in the public lecture while also comparing the universal random surfaces we now understand well (SLE-decorated Liouville quantum gravity and the Brownian map) to those that arise in random matrix theory and gauge theory.

Monday, September 5, 2016 - 15:30 pm - Room 6214

## *More universal randomness in 2D and its relationship to gauge theory* [ video ]

ABSTRACT: I will continue the narrative begun in the public lecture while also comparing the universal random surfaces we now understand well (SLE-decorated Liouville quantum gravity and the Brownian map) to those that arise in random matrix theory and gauge theory.