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{\Large המחלקה למתמטיקה, בן-גוריון}

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{\Huge לוגיקה, תורת הקבוצות וטופולוגיה}\\[0.2\baselineskip]

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\textbf{ב}\emph{יום שלישי,  8 במרץ, 2016}
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\textbf{בשעה} \emph{12:15 -- 13:30}
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\textbf{ב}\emph{Math -101}

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ההרצאה

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{\Large\bfseries On Zilber`s restricted tirchotomy principle - part 1\par}
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תינתן על-ידי
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{\large\scshape Assaf Hasson 
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\textbf{תקציר:}
  Zilber`s trichotomy conjecture, asserting roughly, that a non-locally modular strongly minimal set is an algebraic curve over an algebraically closed field, was thoroughly refuted by Hrushovski in 1988. Nevertheless, the ideology underlying Zilber`s conjecture remains one of the most influential (and most successful) classifying principles in model theory. In the first talk I will explain Zilber`s trichotomy conjecture and its history, focusing on various restricted versions of the principle.

In the second talk I will discuss a long term project of classifying, along Zilber`s trichotomy, all structures interpretable in o-minimal theories. I will describe the main ideas in a recent result (joint with Eleftheriou and Peterzil) proving that if \$(G,+)\$ is a commutative complex Lie group and \$G\_S:=(G, +, S)\$ is a strongly minimal non locally modular structure interpretable in an o-minimal expansion of the reals, then \$G\_S\$ interprets an algebraically closed field. ​​
  


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{\bfseries אנא שימו לב לשינוי בשעה!}
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