We are happy to announce an ICERM topical workshop on “Applied Mathematical Modeling with Topological Techniques”, August 5-9, 2019. Please see our webpage
Mathematical modelers face a variety of challenges, including summarizing large data sets to understand and explore a system of interest, inferring the model parameters most accurate for describing a given data set, and assessing the goodness-of-fit between data sets. Computational topology provides a lens through which these challenges may be addressed. At the same time, just as topological techniques provide opportunities for modelers, the challenges that modelers face give rise to opportunities for applied topologists. For instance, topologists may develop techniques that make model predictions based on the topology of experimental or simulation data, that analyze time-varying data, or that turn model outputs into formats suitable for machine learning.
This workshop brings together the applied mathematical modeling and applied topology communities, aiming to give modelers exposure to topological techniques still not commonly used in their community, and to give topologists exposure to modeling challenges that might stimulate the development of new techniques.
The workshop will include tutorial sessions on modeling and on applied topology, during which participants will learn by doing hands-on computational exercises. Because the broad goal of this workshop is to encourage collaboration between members of the applied modeling and topology communities, a significant portion of the week will be devoted to participants initiating research on problems proposed by the organizers. The research problems will afford the potential for continued collaboration beyond the workshop.