CORDIS Project
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This project explores the relationship between model theory and locally compact groups, particularly those related to Lie groups. It aims to develop a model-theoretic description of these groups and investigate how geometric properties can be recognized through model-theoretic concepts.
The main goal of the project is to apply advanced techniques from the model theory (a branch of mathematical logic) to the class of locally compact groups arising from the solution of Hilbert's 5th problem (so at the end, to the class of Lie groups), to answer the following question: how much geometry can model theory recognize?
There does not exist a general (first-order) model-theoretic description of the locally compact groups, thus our first goal will be to develop such a description.
Then,…
TECHNISCHE UNIVERSITAET DRESDEN
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Germany, MUENSTER
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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