Hello folks,
hope all of you are doing well. SysConTalks is an initiative by the Ph.D. students of the Systems and Control group at IIT Bombay. We organize seminars by researchers at the forefront of Academia and the Industry, and our aim is to provide an engaging platform for students such as ourselves to learn from the best minds in the broad areas of systems and control, optimization, and data science. Our next talk will be given by Prof. Lee Deville, Department of Mathematics, UIUC. We would like to invite the interested participants to join, the details are as follows--
Speaker:
Lee Deville,
Professor and Director of Graduate Studies,
Department of Mathematics, and Illinois Institute of universal Biology, the University of Illinois at Urbana-Champaign.
Title: Consensus on simplicial complexes, Date and time: 27th July, Tuesday, 1930 Hrs IST.
Meeting link: meet.google.com/ckm-mdwe-veq
Abstract:
We present a framework for consensus dynamics on simplicial complexes and relate it to various consensus and synchronization models commonly studied on networks. In particular, our model allows us to formulate flows on simplices of any dimension, so that it includes edge flows, triangle flows, etc. We study the stability properties of this system using both linearization and Lyapunov methods. Finally, we demonstrate that our model contains higher-dimensional analogues of structures often observed in related network models.
Speaker biography:
Lee Deville's with the Department of Mathematics, UIUC, where he's a Professor and the Chair of Graduate Studies. His research interests are extremely diverse, ranging from dynamical systems, synchronization in a broadly interpreted sense, through mathematical biology and neuroscience.
Feel free to circulate amongst your colleagues and students.
Regards.