Dear Colleagues, We would like to invite you to the following Probability seminar that will take place on June 12 at 15 by the zoom platform. ________________________________________________________ Speaker: Alberto Chiarini (TU Eindhoven) Title: Entropic repulsion for the occupation-time field of random interlacements by disconnection 12 JUNE (Friday) - 15:00 - zoom link: TBA The link and password to access the seminar will be available at the following webpage https://www.math.unipd.it/~bianchi/seminari/ Abstract: The model of random interlacements was introduced in 2007 by A.-S. Sznitman, motivated by questions about the disconnection of discrete cylinders or tori by the trace of simple random walk. Since then, it has gained popularity among probabilists due to its percolative properties and also because of its connections to the free field. Random interlacements on transient graphs can be constructed as a Poisson point process of doubly infinite trajectories. After reviewing this model, we will focus on the rare event that these trajectories disconnect a macroscopic body from infinity, in the strongly percolative regime. We will ask the following question: What is the most efficient way for random interlacements to enforce such disconnection? In other words, how do the trajectories of random interlacements look like conditionally on disconnection? -- Alessandra Bianchi Dip. di Matematica Università di Padova Via Trieste, 63 - 35121 Padova, Italy phone: +39 049 827 14 06 fax: +39 049 827 14 28 e-mail: bianchi@math.unipd.it http://www.math.unipd.it/~bianchi/