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Home » UC Berkeley Model Theory Seminar: Locally definable groups as covers of definable groups.

Seminar

UC Berkeley Model Theory Seminar: Locally definable groups as covers of definable groups. April 09, 2014 (02:00 PM PDT - 03:30 PM PDT)
Location: 736 Evans Hall
Speaker(s) Pantelis Eleftheriou (Universit├Ąt Konstanz)
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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)

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