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A locally definable group in an o-minimal structure is a group whose domain is a countable union of definable sets U_i and whose multiplication is definable when restricted to each U_i x U_j. An important example is the universal cover of a definable group.
Conjecture. Let U be a connected abelian locally definable group which is generated by a definable set. Then U is a cover of a definable group.
In this talk we will report progress on the status of this conjecture and mention a number of statements that are equivalent to it. (Joint work with Y. Peterzil)No Notes/Supplements Uploaded No Video Files Uploaded