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<div dir="ltr"><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">As part of the series of seminars <i>"Insalate di Matematica"</i>, <b>Ilaria Castellano</b>, postdoc at <span style="word-spacing:0px">the Università degli Studi di Milano-Bicocca</span><font style="word-spacing:0px"><span style="word-spacing:1px">, will deliver a talk. </span></font></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">According to the current Covid regulations, the seminar will be held in a <u>hybrid mode</u> <b>(more information below)</b>.</font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">Here the details:</font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><u>Date and time</u>: <b>12th May 2022, 2:00 pm (CET)</b></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><u><br></u></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><u>Title</u>: <i style="background-color:rgb(241,194,50)">"</i><span style="background-color:rgb(241,194,50)"><i>Automorphism groups of regular trees as topological groups"</i></span><i><br><span style="background-color:rgb(241,194,50)"></span></i></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="ltr"><span style="color:rgb(0,0,0)"><font size="2"><u style="word-spacing:1px">Abstract</u><span style="word-spacing:1px">: A connected graph without closed paths is called a tree and a tree is said to be d-regular if every vertex has exactly d adjacent vertices. The automorphism group of such a combinatorial object can be endowed with a topology that turns it into a locally compact group, and the aim of the first part of the talk will be to describe such a topology. The target is then to play a bit further with the automorphism groups of infinite regular trees in order to construct a few more topological groups: they will provide some of the most relevant examples of totally disconnected locally compact groups we are aware of. Indeed the second part of the talk will be devoted to a brief overview of the theory of this class of locally compact groups.</span></font></span></div><div dir="ltr"><span style="color:rgb(0,0,0)"><font size="2"><span style="font-family:Roboto,-apple-system,BlinkMacSystemFont,"Apple Color Emoji","Helvetica Neue",sans-serif"><br></span></font></span></div><div dir="ltr"><div dir="auto"><span style="color:rgb(0,0,0)"><font size="2"><u style="word-spacing:1px">Keywords</u><span style="word-spacing:1px">: regular tree - automorphism group - totally disconnected locally compact group.</span></font></span></div><div dir="auto"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><b><u>Information to attend in room 3014<br></u></b></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">The
seminar will take place in room 3014, at the building U5-Ratio,
Università degli Studi di Milano Bicocca. Unfortunately, only a limited
number of participants is allowed</font><font size="2"> in presence, hence reservation is mandatory. You can reserve at the following link: <a href="https://sites.google.com/view/insalate-di-matematica/reservation?authuser=0" target="_blank">https://sites.google.com/view/insalate-di-matematica/reservation?authuser=0</a> </font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">We also remind that you will be required to exhibit your green pass at the entrance of the building.</font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><b><u>Information to attend online</u></b></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">The seminar will be streamed via</font><font size="2"> Webex platform at the following lin</font><font size="2">k: <a href="https://unimib.webex.com/unimib/j.php?MTID=m93cfaa565b4c4bdd0a6f46038a6ba5f9" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=m93cfaa565b4c4bdd0a6f46038a6ba5f9</a> (<i><u>Password</u></i>: Insalate)</font><font size="2"><span style="font-family:Roboto,Arial,sans-serif;letter-spacing:0.3px;white-space:nowrap"></span></font></span></div><div dir="auto"><span style="color:rgb(0,0,0)"><font size="2"><i><b>** We inform you that the talk will be recorded and uploaded on our website. If you join the talk <u>after the starting time</u>, we kindly ask you to ensure that <u>your microphone and webcam are turned off</u> **</b></i><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">You can find the poster of the event in the attachment. We are looking forward to seeing you! </font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" target="_blank">https://sites.google.com/view/insalate-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" target="_blank">insalate.matematica@unimib.it</a>.</font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br>The organizers: Luigi Appolloni, Andrea Bisterzo, Alberto Cassella, Francesca Cottini, Ludovico Marini.</font></span></div></div></div>
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