\titleofpresentation{Groups Elementary Equivalent to a Free 2-nilpotent Group of Finite Rank}

\presenter{Mahmood Sohrabi} 

In this talk I describe our
joint work with Alexei Miasnikov on characterization of groups
elementary equivalent to a free nilpotent group of arbitrary finite
rank and class two. I'll outline a proof that a characterization similar to 
the one Belegradek, O. V. ~\cite{MahmoodSohrabi} found for groups elementary equivalent to the group of $3\times 3$ unitriangular
 matrices over the rings of integers, which is a free 2-nilpotent group of rank 2,
can be given for groups elementary equivalent to a free 2-nilpotent group of finite rank.

\begin{ourbiblio}{99} 
\bibitem{MahmoodSohrabi}Belegradek, O. V. Model theory of unitriangular groups. Model theory and applications,
 1-116, Amer. Math. Soc. Transl. Ser. 2, 195, Amer. Math. Soc.,
 Providence, RI, 1999.
\end{ourbiblio}

\presenteraddress{Carleton University}  

\email{msohrabi@math.carleton.ca}
