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<span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;display:inline;float:none">Dear all,</span><div style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><br></div><div style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><div>As a part of the series of seminars <i>&quot;<span class="gmail-il">Insalate</span><span> </span>di Matematica&quot;</i>, we remind you that today there will be the first seminar of the new academic year.<br>Moreover, we remind you that the seminar can also be attended <u>in presence</u> in room 3014 (building U5-Ratio, Università degli Studi di Milano-Bicocca)<font color="#313131"> </font>by prior reservation at the 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><br>
<font color="#313131"> You will be required to exhibit your green pass at the entrance of the building.<br></font>

 <br>Here the details:</div><div><span style="color:rgb(0,0,0);font-family:Montserrat,Tahoma,Meiryo,sans-serif;font-size:18px;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:left;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;display:inline;float:none"><br></span></div><div><span style="color:rgb(0,0,0);font-family:Montserrat,Tahoma,Meiryo,sans-serif;font-size:18px;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:left;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;display:inline;float:none">
</span><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><u>Date and time</u>: <b>20th October 2021, 2:00 pm </b></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><br></div><div style="color:rgb(49,49,49);word-spacing:1px"><u>Title</u>: <i><span style="background-color:rgb(241,194,50)">&quot;<span style="color:rgb(34,34,34)">Coloring the numbers, and other funny things to do&quot;</span></span><br><br>

<u style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255)">Google Meet access link</u><span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;display:inline;float:none">:</span><span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration-style:initial;text-decoration-color:initial;background-color:rgb(255,255,255)"><font color="#000000"> 
<span style="font-family:Roboto,Arial,sans-serif;font-size:12px;letter-spacing:0.3px;white-space:nowrap"><font color="#000000"><a href="http://meet.google.com/kqg-gazi-yzh" target="_blank">meet.google.com/kqg-gazi-yzh</a></font></span>

</font></span><i><span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255)"></span><span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;display:inline;float:none"></span></i>

</i></div><div dir="auto" style="color:rgb(49,49,49);word-spacing:1px"><i><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>Is
 it true that for every finite coloring of the natural numbers there is 
an infinite set having all finite sums of the same color?</div>This 
problem has been an outstanding open conjecture for a long time, until 
Neil Hindman in 1974 answered it positively. Soon afterward, Galvin and 
Glazer gave a second proof of this result that involved tools from logic
 and model theory. These tools have started a new line of research in 
combinatorics that have revealed to be very proficuous, leading to other
 famous results such as Carlson&#39;s Theorem in 1988, and Gowers&#39; Theorem 
in 1992, and having a major impact across many fields of mathematics, 
such as functional analysis, ergodic theory, topological dynamics, logic
 and algebra.<br>In this talk, I will go through the history of these 
famous theorems, and briefly present some recent lines of research in 
the field.<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>Combinatorics, Ramsey theory, logic and model theory, semigroups and monoids.</div><div dir="auto"></div><div style="word-spacing:1px"><font color="#313131"><br></font></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><div><br></div><div>We are looking forward to seeing you!<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> or contact us at <a href="mailto:insalate.matematica@unimib.it" target="_blank">insalate.matematica@unimib.it</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, Andrea Bisterzo, Alberto Cassella, Francesca Cottini, Ludovico Marini</div>



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