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)
Parent Program: --
Location: 736 Evans Hall
Speaker(s) Pantelis Eleftheriou (Universität Konstanz)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

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