 CARMA SEMINAR
 Speaker: Laura Ciobanu, University of Neuchatel
 Title: Equations in groups
 Location: Room V206, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 4:00 pm, Thu, 7^{th} Aug 2014
 Abstract:
The Diophantine Problem in group theory can be stated as: is it
algorithmically decidable whether an equation whose coefficients are
elements of a given group has at least one solution in that group?
The talk will be a survey on this topic, with emphasis on what is known
about solving equations in free groups. I will also present some of the
algebraic geometry over groups developed in the last 20 years, and the
connections to logic and geometry. I will conclude with results concerning the
asymptotic behavior of satisfiable homogeneous equations in surface groups.
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