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{\Large Department of Mathematics, BGU}

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{\Huge Operator Algebras Seminar}\\[0.2\baselineskip]

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\textbf{On} \emph{Wednesday, November 19, 2025}
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\textbf{At} \emph{13:00 -- 14:00}
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\textbf{In} \emph{201}

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{\large\scshape Mansi Suryawanshi 
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will talk about
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{\Large\bfseries Representations of the Odometer Semigroup: Dilation and Subrepresentations\par}
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\textsc{Abstract:}
Given a natural number \$n \textbackslash{}geq 1\$, the odometer semigroup \$O\_n\$, also known as the adding machine or the Baumslag--Solitar monoid with two generators, is a well-known object in group theory. This talk will examine the odometer semigroup in relation to representations of bounded linear operators. We will focus on noncommutative operators and show that contractive representations of \$O\_n\$ always admit nicer representations. A complete description of representations of \$O\_n\$ on the Fock space will be presented, along with connections to odometer lifting and subrepresentations. Along the way, we will also classify Nica--covariant representations of \$O\_n\$.








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