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{\Large המחלקה למתמטיקה, בן-גוריון}

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{\Huge תורת החבורות וגיאומטריה}\\[0.2\baselineskip]

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\textbf{ב}\emph{יום ראשון, 15 בינואר, 2017}
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\textbf{בשעה} \emph{14:30 -- 15:30}
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\textbf{ב}\emph{-101}

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ההרצאה

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{\Large\bfseries Transitions of the Diagonal Cartan Subgroup in SL(n,R)\par}
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תינתן על-ידי
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{\large\scshape Arielle Leitner 
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  (Technion)
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\textbf{תקציר:}
  A geometric transition is a continuous path of geometries which abruptly changes type in the limit. The most intuitive example is to imagine blowing up a sphere so that eventually it becomes so large, it looks like a plane. This is a transition from spherical geometry to Euclidean geometry.

We will study limits of the Cartan subgroup in \$SL(n,R)\$. A limit group is the limit under a sequence of conjugations of the Cartan subgroup in \$SL(n,R)\$.  We will show using the hyperreal numbers that in \$SL(3,R)\$ there are 5 limit groups, each determined by a degenerate triangle.

In the second part of the talk, we will show that for \$n \textbackslash{}geq 7\$, there are infinitely many nonconjugate limit groups of the Cartan subgroup.
  


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