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Content archived on 2024-04-30

Generic representation theory and unstable modules over the steenrod algebra


Research objectives and content Generic representation theory can be seen as a mediator between unstable module theory and the representation theory of finite general linear groups: by using methods from representation theory results in unstable module theory may be derived and vice versa. The goal of the project is two-fold: on one hand, to study the properties of the category F of
explore further how these properties translate into statements on the unstable module side, and the other way round. Generic representation theory is a very young subject, so there are many open questions, e.g. the Artinian conjecture which is of particular importance because of its connection to Algebraic K-theory. Training content (objective, benefit and expected impact) In Paris I will be working with Prof. Schwartz who is one of the leading experts in this field in Europe, and with G. Powell who has been doing research especially on problems related to the Artinian conjecture. - Being a topologist, I anticipate that during my stay in Paris I will also deepen my knowledge of the representation theoretical methods which are required to better understand the category F. Links with industry / industrial relevance (22)

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