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<p class="MsoNormal"><span lang="EN-US">Dear all,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><span lang="EN-US" style="font-size:12.0pt">We have an external guest for the AG tomorrow. Please see the announcement below.<o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><span lang="EN-US" style="font-size:12.0pt">Hope to see you there!<o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><span lang="EN-US" style="font-size:12.0pt">Thomas<o:p></o:p></span></p>
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<b><span style="font-size:11.5pt;font-family:Helvetica;color:black">AG:7-11-2023 11:00 NU0A46 (Maryam): David O'Connel: Non-Hausdorff Differential Geometry<o:p></o:p></span></b></p>
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<span style="font-size:9.0pt;font-family:Helvetica;color:black">Abstract: In this talk we will introduce various aspects of non-Hausdorff manifolds, constructed from first principles. Typically, the Hausdorff property is included in the definition of a manifold
for technical convenience, and the alternative may seem somewhat daunting: without the Hausdorff property we do not have access to partitions of unity in their full generality, and thus various structures may or may not exist in the non-Hausdorff case. However,
as we will see, certain topological representations allow us to circumvent this issue and recreate differential geometry without the need of arbitrarily-existent partitions of unity. To illustrate this idea, we will start from the topology of non-Hausdorff
manifolds and then introduce more and more structure of various interest, finally finishing with a proof of de Rham’s Theorem.<o:p></o:p></span></p>
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