Mário Edmundo
CMAF-CIO, Universidade de Lisboa

Abstract: Eleftheriou, Peterzil and Ramakrishnan showed that definable groups in arbitrary o-minimal structures are definable in products of definable group-intervals.  Thus understanding the topology of definable sets in products of definable group-intervals  is crucial to complete our understanding of definable groups (in particular, by extending the proof of Pillay's conjecture to the general case). In this talk we will present a couple of results in this direction (joint work with Mamino, Prelli, Ramakrishnan and Terzo).

This seminar is supported by National Funding from FCT - Fundação para a Ciência e a Tecnologia, under the project: UID/MAT/04561/2013.