<div dir="ltr"><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px">As part of the series of seminars <i>&quot;Insalate di Matematica&quot;</i>, Jacopo Somaglia, postdoc at the University of Milan, will deliver an online talk. Here the details:</div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><br></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><u>Date and time</u>: <b>27th May </b><b>2021, 2:00 pm</b></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><br></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><u>Title</u>: <span style="background-color:rgb(255,217,102)"><i>&quot;<span style="color:rgb(34,34,34);word-spacing:0px">An overview on the Suslin&#39;s problem</span></i></span><i><span style="background-color:rgb(255,217,102)">&quot;</span><br><span style="color:rgb(34,34,34);background-color:rgb(241,194,50)"></span></i></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><br></div><div dir="auto"><u style="color:rgb(49,49,49);word-spacing:1px">Abstract</u><font color="#313131"><span style="word-spacing:1px">: </span></font><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">In 1920 </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">at</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">the</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> end </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">of</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">the</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">first</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> volume </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">of</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">the</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">journal</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><i style="font-family:arial,sans-serif"><span style="color:rgb(0,0,0)">Fundamenta</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">Mathematicae</span></i><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> a list </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">of</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">problems</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">appeared</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">. </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">Among</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">them</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> M. </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">Suslin</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">posed</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">the</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">following</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">question</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">:</span></div><pre style="white-space:pre-wrap;margin-top:0px;margin-bottom:0px"><font face="arial, sans-serif"><br></font></pre><pre style="white-space:pre-wrap;text-align:center;margin-top:0px;margin-bottom:0px"><i><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">Un </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">ensemble</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">ordonné</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> (</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">liné</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">airement</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">) </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">sans</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">sauts</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">ni</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">lacunes</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> et </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">tel</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">que</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> tout </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">ensemble</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> de </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">ses</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">intervalles</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> (</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">contenant</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> plus </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">qu&#39;un</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(128,0,0)">\&#39;</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">{e}l</span><span style="font-family:arial,sans-serif;color:rgb(128,0,0)">\&#39;</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">{e}</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">ment</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">) </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">n&#39;empi</span><span style="font-family:arial,sans-serif;color:rgb(128,0,0)">\&#39;</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">{e}</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">tant</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">pas</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">les</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">uns</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">sur</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">les</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)">autres</span><span style="font-family:arial,sans-serif;color:rgb(0,0,0)"> </span><br></i></pre><pre style="white-space:pre-wrap;text-align:center;margin-top:0px;margin-bottom:0px"><font face="arial, sans-serif"><i><span style="color:rgb(0,0,0)">est </span><span style="color:rgb(0,0,0)">au</span><span style="color:rgb(0,0,0)"> plus dé</span><span style="color:rgb(0,0,0)">numerable</span><span style="color:rgb(0,0,0)">, est-il </span><span style="color:rgb(0,0,0)">nécessairement</span><span style="color:rgb(0,0,0)"> un continue </span><span style="color:rgb(0,0,0)">linéaire</span><span style="color:rgb(0,0,0)"> (</span><span style="color:rgb(0,0,0)">ordinaire</span><span style="color:rgb(0,0,0)">)?</span></i></font></pre><pre style="white-space:pre-wrap;margin-top:0px;margin-bottom:0px"><br></pre><pre style="white-space:pre-wrap;margin-top:0px;margin-bottom:0px"><font face="arial, sans-serif"><span style="color:rgb(0,0,0)">In this talk </span><span style="color:rgb(0,0,0)">it</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">will</span><span style="color:rgb(0,0,0)"> be </span><span style="color:rgb(0,0,0)">presented</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">an</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">overview</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">with</span><span style="color:rgb(0,0,0)"> a </span><span style="color:rgb(0,0,0)">shortcut</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">of</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">the</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">strategy</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">behind</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">the</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">solution</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">of</span><span style="color:rgb(0,0,0)"> this </span><span style="color:rgb(0,0,0)">classical</span><span style="color:rgb(0,0,0)"> problem in set </span><span style="color:rgb(0,0,0)">theory</span><span style="color:rgb(0,0,0)">.</span></font></pre><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><br></div><div dir="auto"><u style="color:rgb(49,49,49);word-spacing:1px">Keywords</u><font color="#313131"><span style="word-spacing:1px">: </span></font><span style="color:rgb(0,0,0)">infinitary</span><span style="color:rgb(0,0,0)"> </span><span style="color:rgb(0,0,0)">combinatorics</span><span style="color:rgb(0,0,0)">, </span><span style="color:rgb(0,0,0)">Suslin</span><span style="color:rgb(0,0,0)"> tree, </span><span style="color:rgb(0,0,0)">independence.</span></div><div dir="auto"><br></div><div dir="auto" style="word-spacing:1px"><font color="#313131">The event will be held via Google Meet platform at the following link: </font><a href="https://meet.google.com/jkq-wrnr-kff" target="_blank">https://meet.google.com/jkq-wrnr-kff</a></div><div dir="auto"><br></div><div dir="auto"><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></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><br></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px">You can find the poster of the event in the attachment. We are looking forward to seeing you!</div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><br></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px">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></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><br></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><br>The organizers: Luigi Appolloni, Federico Bernini, Francesca Cottini, Luca Di Gravina, Ludovico Marini</div></div>