{ "id": "2109.04185", "version": "v1", "published": "2021-09-09T11:45:08.000Z", "updated": "2021-09-09T11:45:08.000Z", "title": "Geometric methods in holomorphic dynamics", "authors": [ "Romain Dujardin" ], "comment": "To appear in the proceedings of the ICM 2022", "categories": [ "math.DS", "math.CV" ], "abstract": "In this note we review a selection of contemporary research themes in holomorphic dynamics. The main topics that will be discussed are: geometric (laminar and woven) currents and their applications, bifurcation theory in one and several variables, and the problem of wandering Fatou components.", "revisions": [ { "version": "v1", "updated": "2021-09-09T11:45:08.000Z" } ], "analyses": { "keywords": [ "holomorphic dynamics", "geometric methods", "contemporary research themes", "wandering fatou components", "bifurcation theory" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }