[AATRN] AATRN Networks seminar, Tuesday, October 1, at 5pm CEST by Marco Nurisso

[AATRN Networks]

Dear AATRN Networks members,

Our next online seminar will be Tuesday, October 1, at 5pm CEST / 11am Eastern Time.

Speaker: Marco Nurisso

Title: Interactions and topological synchronization in the simplicial Kuramoto model

Abstract: Simplicial Kuramoto models have emerged as a diverse and intriguing class of models that capture the dynamics of interacting oscillators placed on the simplices of a simplicial complex. Being formalized with the tools of discrete differential geometry, these models reveal interesting relationships between topology, geometry and dynamics. We leverage their mathematical structure to give a microscopic interpretation of the interaction terms which, we see, include effectively both higher-order and self interactions. This naturally leads us to establish an equivalence between the simplicial Kuramoto model and the standard Kuramoto model on pairwise networks under the condition of the underlying simplicial complex being a pseudomanifold. Then, we describe the notion of simplicial synchronization, its relation to simplicial homology, and derive bounds on the oscillators’ coupling strength necessary or sufficient for achieving it.

We will meet in the following coordinates:

https://epfl.zoom.us/j/66322742056?pwd=VnlFcU9kWTlERG9pQTRjVVVOa29TZz09
Meeting ID:  663 2274 2056
Passcode: 712373

Our seminar occurs on the first Tuesday of every month, and you can follow our future planned list of speakers on our website sites.google.com/view/aatrn-networks-seminar.

You may also be interested in adding AATRN’s Google calendar (link), which contains other seminar information.

Best,

The AATRN Networks organizers
Daniela Egas Santander, Henri Riihimäki, Jason Smith