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Je vais parler de cartes combinatoires, qui sont des surfaces discrètes construites en collant des polygones ensemble. Elles ont été très étudiées depuis une soixantaine dannées, avec de nombreux liens avec la physique mathématique et linformatique. Dans cet exposé, on examinera principalement leur relation avec la combinatoire algébrique, à travers les factorisations de permutations, les fonctions symétriques et la théorie des représentations. On verra comment ces propriétés algébriques et la hiérarchie KP (une famille dEDP) permettent dénumérer des cartes, avec des applications à la combinatoire bijective et probabiliste.
Sara is Associate Professor at the Department of Mathematical Science at the Norwegian University of Science and Technology, Norway. Her research focuses on spatial and computational Bayesian statistics with a particular focus on approximate Bayesian inference methods. She is interested in applications in a wide range of scientific fields from ecology and air quality to multistate survival models.
Dylan Spicker is a postdoctoral fellow at McGill University, supported by the CRM StatLab and CANSSI, under the supervision of Dr. Erica Moodie. Prior to their postdoc, Dylan completed their PhD and MMath in Statistics at the University of Waterloo. Dylan's research focuses on the development of statistical methods for causal inference, both using observational data in a longitudinal context and data which arise from respondent-driven sampling, with a particular interest in developing methods which are broadly accessible and applicable in a wide variety of settings. Website: https://www.dylanspicker.com/
Forrest W. Crawford is an Associate Professor of Biostatistics, Statistics & Data Science, Operations, and Ecology & Evolutionary Biology at Yale University. He is affiliated with the Center for Interdisciplinary Research on AIDS, the Institute for Network Science, the Computational Biology and Bioinformatics Program, and the Public Health Modeling Concentration. His research focuses on mathematical and statistical problems related to discrete structures and stochastic processes in epidemiology, public health, biomedicine, and social science. He received the NIH Director's New Innovator Award in 2016. Websites: http://www.crawfordlab.io/ - https://ysph.yale.edu/profile/forrest_crawford/