Chaire Aisenstadt

[ English ]

Scott Sheffield (MIT)
2 - 5 septembre 2016

DIAPORAMA DE LA CONFÉRENCE

Sheffield

CONFÉRENCE PUBLIQUE - Vendredi 2 septembre 2016 - 16:00 - Salle 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.

Dimanche 4 septembre 2016 - 10:30 - Salle 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.

Lundi 5 septembre 2016 - 15:30 - Salle 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.