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Logic seminarExport this event to calendar

Tuesday, January 22, 2013 — 11:00 AM EST

Pantelis Eleftheriou, Department of Pure Mathematics, University of Waterloo

Groups definable in o-minimal structures

Let M be an ordered vector space over an ordered division ring D. A subset X of Mn is called “semilinear” if it is a boolean combination of sets defined by linear equations and inequalities with coefficients from D. A ”semilinear group” is a group whose domain and the graph of its multiplication are semilinear sets. We prove that every semilinear group is semilinearly isomorphic to a quotient by a lattice, exemplifying its strong connection to a real Lie group. This study belongs to the general program of studying groups definable in o-minimal structures.
Location 
MC - Mathematics & Computer Building
5045
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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