CORDIS Project
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The project aims to bridge model theory and algebra, focusing on group theory applications. It explores definable groups in various mathematical structures and investigates model-theoretic components, particularly in groups of Lie type and algebraic groups over valued fields.
The topic of the project is to develop new connections between model theory (a subfield of mathematical logic) and algebra, involving applications to group theory.
We propose to work on some questions regarding groups definable in various important first order structures: o-minimal, without the independence property (NIP) and algebraically closed valued fields (ACVF) and others.
Especially, we are interested in model-theoretic connected components of such groups.
The quotient of the group by one…
UNIVERSITY OF LEEDS
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