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    <title>Set Theory and Analysis</title>
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        Tuesday, 19 November 2024 - 10:00 to 11:30  <br />
        Place: IM, konírna
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        Speaker: Manfred Droste, Universität Leipzig<br />
        Title: Random constructions imply symmetry
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        Abstract <br />
        <p>We&nbsp;will&nbsp;argue&nbsp;for&nbsp;the&nbsp;claim&nbsp;of&nbsp;the&nbsp;title&nbsp;in&nbsp;the&nbsp;areas&nbsp;of</p><p>algebra,&nbsp;theoretical&nbsp;computer&nbsp;science,&nbsp;and&nbsp;theoretical&nbsp;physics.</p><p> In algebra, we will consider the classical Ulm-Zippin theorem for abelian p-groups.</p><p>For&nbsp;theoretical&nbsp;computer&nbsp;science,&nbsp;we&nbsp;will&nbsp;give&nbsp;a&nbsp;probabilistic&nbsp;construction</p><p>of&nbsp;Scott&nbsp;domains&nbsp;and&nbsp;show&nbsp;that&nbsp;with&nbsp;probability&nbsp;1</p><p>our&nbsp;construction&nbsp;produces&nbsp;a&nbsp;universal&nbsp;homogeneous&nbsp;domain.</p><p>Finally,&nbsp;we&nbsp;consider&nbsp;causal&nbsp;sets&nbsp;which&nbsp;have&nbsp;been&nbsp;used&nbsp;as&nbsp;basic</p><p>models&nbsp;for&nbsp;discrete&nbsp;space-time&nbsp;in&nbsp;quantum&nbsp;gravity.</p>
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         For more information see the seminar web page at <br />
         https://www.math.cas.cz/index.php/events/seminar/6
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        Set Theory and Analysis mailing list <br />
        settfa@math.cas.cz <br />
        https://list.math.cas.cz/listinfo/settfa@math.cas.cz
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