In order to enable an iCal export link, your account needs to have an API key created. This key enables other applications to access data from within Indico even when you are neither using nor logged into the Indico system yourself with the link provided. Once created, you can manage your key at any time by going to 'My Profile' and looking under the tab entitled 'HTTP API'. Further information about HTTP API keys can be found in the Indico documentation.
Additionally to having an API key associated with your account, exporting private event information requires the usage of a persistent signature. This enables API URLs which do not expire after a few minutes so while the setting is active, anyone in possession of the link provided can access the information. Due to this, it is extremely important that you keep these links private and for your use only. If you think someone else may have acquired access to a link using this key in the future, you must immediately create a new key pair on the 'My Profile' page under the 'HTTP API' and update the iCalendar links afterwards.
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Percolation phase transition is nontrivial for graphs with isoperimetric dimension higher than 3
Let $G$ be a bounded-degree infinite graph. The first step to study percolation on $G$ is to prove the nontriviality of the phase transition. Let $p_c$ be the critical parameter of bond percolation on $G$ to be the infimum value of $p$ that you have an infinite cluster almost surely. We prove that if the isoperimetric dimension of $G$ is higher than 3, then $p_c(G)<1$.
The theorem settles affirmatively two conjectures of Benjamini and Schramm. Notably, if $G$ is a transitive graph with super-linear growth, then $p_c(G) <1$. In particular, it implies that if $G$ is a Cayley graph of a finitely generated group without a finite index cyclic subgroup, then $p_c(G)<1$.
The proof of the theorem starts with the existence of an infinite cluster for percolation in a certain in-homogeneous random environment governed by the Gaussian free field. Then, by proving a differential inequality, we relate the existence of an infinite cluster in percolation in the random environment to that of percolation with a parameter $p<1$.
This talk is based on a joint work with H. Duminil-Copin, S. Goswami, F. Severo, and A. Yadin.