Dear colleagues, We are excited to announce that our speaker today will be Andreas Klippel, who will be speaking about dimers, double dimers, and spatial permutations with long-range interactions. Join us today, March 25th at 13:30 GMT, 14:30 CET, 15:30 EET on Zoom with the following link: https://wias-berlin-de.zoom-x.de/j/66747761513?pwd=nfPUbXHA8aLmyo4qESwbRxTkc... The talk is scheduled for one hour, allowing time for questions. Additionally, we'll be remaining on the call for a chat afterwards if you'd like to join us. ------------------------------------------ Speaker: Andreas Klippel (TU Darmstadt) Title: Dimers, double dimers, and spatial permutations with long-range interactions Abstract: The dimer model and its associated double-dimer model are fundamental objects in probability theory, statistical mechanics, and combinatorics. While their planar behavior is by now well understood, much less is known beyond planarity. We study these models on Z^d-like graphs, d \geq 1, allowing long-range edges whose weights decay with distance. For a large class of such interactions, we show that monomer correlations in the dimer model remain uniformly positive, and that loops in the double-dimer model are macroscopic. In this talk, I will introduce the models, explain their connection to spatial permutations, and give an overview of the main proof ideas. In particular, we will take a closer look at the key method, namely reflection positivity. The project presented in this talk is joint work with Lorenzo Taggi and Wei Wu. ------------------------------------------ You can find more information about the talk on our website Postgraduate Online Probability Seminars (pg-prob-sem.github.io)<https://pg-prob-sem.github.io/>. Warm regards, The POPS Team This talk will be broadcast March 25th at 13:30 GMT, 14:30 CET, 15:30 EET on Zoom only. Meeting-ID: 667 4776 1513 Passcode: 834059