Reference number : GC-2017-Q1-01468, amendment number : , agreement type : G, recipient legal name : Rolfsen, Dale (The University of British Columbia), recipient country : CA, recipient province : nan, recipient city : British Columbia|Colombie-Britannique, recipient postal code : nan, program name english : Discovery Grants Program - Individual, program name french : Programme de subventions à la découverte - individuelles, program purpose english : Three-dimensional manifolds model the universe we inhabit. They also arise in the study of dynamical systems, solutions of several-variable equations and other applications in mathematics, physics and engineering. My research program will focus on a better understanding of 3-manifolds, to contribute to their classification and investigate their structures, by the use of algebraic and geometric techniques, both old and new. A related research direction is the algebraic theory of groups and their orderings, as well as geometric group theory, in which algebraic structures are viewed geometrically., program purpose french : Three-dimensional manifolds model the universe we inhabit. They also arise in the study of dynamical systems, solutions of several-variable equations and other applications in mathematics, physics and engineering. My research program will focus on a better understanding of 3-manifolds, to contribute to their classification and investigate their structures, by the use of algebraic and geometric techniques, both old and new. A related research direction is the algebraic theory of groups and their orderings, as well as geometric group theory, in which algebraic structures are viewed geometrically., agreement title english : Manifolds and Groups, agreement title french : Manifolds and Groups, agreement number : RGPIN, agreement value : 70000.0, agreement start date : 2017-05-10, agreement end date : nan, description english : nan, description french : nan, expected results english : nan, expected results french : nan, additional information english : Grant or Award spanning more than one fiscal year. (2017-2018 to 2022-2023), additional information french : Subvention ou bourse octroyée s'appliquant à plus d'un exercice financier. (2017-2018 à 2022-2023), owner organization : nserc-crsng, owner organization title : Natural Sciences and Engineering Research Council of Canada | Conseil de recherches en sciences naturelles et en génie du Canada