#### Upcoming talks:

5 III | Sascha Troscheit Show abstract The continuum random tree and Brownian map are important
metric spaces in probability theory and represent the "typical" tree
and metric on the sphere, respectively. The Brownian map in particular
is linked to Liouville Quantum Gravity but the exact nature of the
correspondence is unknown.
In this talk I will explain a fairly dynamical construction of these
spaces and show how recent advances in the dimension theory of
self-similar sets can be used to shed light on general embedding
problems. In particular, I will show that the Assouad dimension of
these metric spaces is infinite and show how this restricts the nature
of embeddings. Time permitting, I will also indicate how the
construction of continuum trees may be used to analyse highly singular
functions such as the Weierstrass-type functions. |

Show rest

6 III | Aurelia Bartnicka |

9 IV | Hector Barge |

The seminar takes place on Fridays

at 10.15-11.45 CET (GMT+1) in the room 1016

of the Jagiellonian University

Department of Mathematics

and Computer Science

(ul. Łojasiewicza 6, Cracow).