June 23 (Sat), 2018 10:05--11:05, 14:00--15:00 Lecture Hall (Room No. 420) Research Institute for Mathematical Sciences Kyoto University, Kyoto, Japan |
Abstract
We present different continuous models of random geometry that
have been introduced and studied in the recent years. In particular,
we consider the Brownian map, which is the universal scaling limit
of large planar maps in the Gromov--Hausdorff sense, and the Brownian
disk, which appears as the scaling limit of planar maps with a boundary.
We discuss the connections between these models, and we emphasize
the role played by Brownian motion indexed by the Brownian tree.