<div dir="ltr"><font color="#000000">Dear all,</font><div dir="auto"><font color="#000000"><br></font></div><div dir="auto"><font color="#000000">We remind you the upcoming talk of "Insalate di Matematica".</font></div><div dir="auto"><font color="#000000">Here the details:</font></div><div dir="auto"><font color="#000000"><br></font></div><div dir="auto"><font color="#000000"><u>Speaker</u>: </font><b>Andrea Bisterzo</b> (Università degli Studi di Milano-Bicocca)</div><span class="gmail-im" style="color:rgb(80,0,80)"><font color="#000000"><div dir="auto"><br></div><div dir="auto"><u>Date and time</u>: <b style="color:rgb(34,34,34)">22th of February 2023, 4:00 pm (CET)</b></div></font><font color="#000000"><div dir="auto"><br></div></font></span><div dir="auto"><u><font color="#000000">Information to attend</font></u></div><div dir="auto"><font color="#000000"><u>In presence</u>: The seminar will take place in room 3014, at the building U5-Ratio, Università degli Studi di Milano Bicocca.</font></div><div dir="auto"><font color="#000000"><u>Online</u>: The seminar will be streamed via Webex platform at the following link: </font><font color="#0000ff"><u><a href="https://unimib.webex.com/unimib/j.php?MTID=ma59a4bf765419abac928d8d35d7a8c29" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=ma59a4bf765419abac928d8d35d7a8c29</a></u> </font>(Password: Insalate (46725283 from phones))</div><span class="gmail-im" style="color:rgb(80,0,80)"><font color="#000000"><span style="color:rgb(80,0,80)"><div dir="auto"><br></div><div dir="auto"><u>Title</u>:<span style="background-color:rgb(255,255,255)"> <span style="color:rgb(34,34,34)">"</span><font color="#000000">Symmetry of solutions to semilinear PDEs on warped product manifolds</font><span style="color:rgb(34,34,34)">"</span></span></div></span></font><font color="#000000"><span style="color:rgb(80,0,80)"><div dir="auto"><br></div><div dir="auto"><u>Abstract</u>: <span style="color:rgb(34,34,34)">In this talk we will see how the stability of a solution to a Dirichlet semilinear problem in a warped product manifold implies the (radial) symmetry of the solution itself.</span></div></span></font></span>More in detail, we will consider two symmetry results for solutions to<span class="gmail-Apple-converted-space"> </span><img alt="\Delta u = f(u)" title="\Delta u = f(u)" src="https://s0.wp.com/latex.php?zoom=3&bg=ffffff&fg=000000&s=0&latex=%5CDelta%09u%09=%09f(u)" id="m_-5618439390082153497m_8753817967273700342m_-6929611953429138471m_-6130727132612202222m_2327189020406000012l0.05324304859937046" height="16" width="74" class="gmail-CToWUd" style="display: inline; vertical-align: -4.333px;">. The first one concerns the case in which the (annular) domain has homogeneous leaves, that is, it has a sufficient number of isometries acting transitively on each leaf. The second one deals with the case in which this abundance of isometries may fail, forcing us to use some tools from potential theory.<font color="#000000"><span style="color:rgb(80,0,80)"><div dir="auto"><br></div><div dir="auto"><u>Keywords</u>:<span style="color:rgb(34,34,34)"> </span><span style="color:rgb(34,34,34)">symmetry - PDEs - stability - Riemannian manifolds - parabolicity.</span></div></span></font><span class="gmail-im" style="color:rgb(80,0,80)"><font color="#000000"><span style="color:rgb(80,0,80)"><div dir="auto"><br></div><div dir="auto"><b>** We inform you that the talk will be recorded and uploaded on our website. If you join the talk after the starting time, we kindly ask you to ensure that your microphone and webcam are turned off **</b></div><div dir="auto"><br></div><div dir="auto">You can find the poster of the event in the attachment.</div><div dir="auto">We are looking forward to seeing you! </div><div dir="auto"><br></div></span></font></span><div dir="auto"><font color="#000000">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://sites.google.com/view/insalate-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">insalate.matematica@unimib.it</a>. Find us also on our Instagram page: <a href="https://www.instagram.com/insalate_di_matematica22/" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://www.instagram.com/insalate_di_matematica22/</a>.</font></div><span style="color:rgb(80,0,80)"><font color="#000000"><div dir="auto"><br></div><div dir="auto">The organizers: Andrea Bisterzo, Simone Blumer, Alberto Cassella, Bianca Marchionna, Andrea Rivezzi, Giovanni Siclari, Marta Tameni, Matteo Tarocchi, Marco Zullino.</div></font></span></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">Il giorno ven 17 feb 2023 alle ore 10:00 Mbs Insalate Di Matematica <<a href="mailto:insalate.matematica@unimib.it">insalate.matematica@unimib.it</a>> ha scritto:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-style:solid;border-left-color:rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div dir="ltr">Dear all,<div dir="auto"><br></div><div dir="auto">As part of the series of seminars "Insalate di Matematica", <b>Andrea Bisterzo</b> (Università degli Studi di Milano-Bicocca) will give a talk. </div><div dir="auto">The speaker will deliver the talk <u>in presence</u> and the meeting will also be broadcasted <u>online</u> (see below for more information).</div><div dir="auto"><br></div><div dir="auto">Here the details:</div><div dir="auto"><br></div><div dir="auto"><u>Date and time</u>: <b>22th of February 2023, 4:00 pm (CET)</b></div><div dir="auto"><br></div><div dir="auto"><u>Title</u>: <span style="background-color:rgb(255,217,102)">"<font color="#000000">Symmetry of solutions to semilinear PDEs on warped product manifolds</font>"</span></div><div dir="auto"><br></div><div dir="auto"><u>Abstract</u>: In this talk we will see how the stability of a solution to a Dirichlet semilinear problem in a warped product manifold implies the (radial) symmetry of the solution itself.</div>More in detail, we will consider two symmetry results for solutions to <img alt="\Delta u = f(u)" title="\Delta u = f(u)" src="https://s0.wp.com/latex.php?zoom=3&bg=ffffff&fg=000000&s=0&latex=%5CDelta%09u%09=%09f(u)" id="m_-5618439390082153497m_8753817967273700342m_-6929611953429138471m_-6130727132612202222m_2327189020406000012l0.05324304859937046" style="display: inline; vertical-align: -4.333px;" height="16" width="74">. The first one concerns the case in which the (annular) domain has homogeneous leaves, that is, it has a sufficient number of isometries acting transitively on each leaf. The second one deals with the case in which this abundance of isometries may fail, forcing us to use some tools from potential theory.</div><div dir="ltr"><br></div><div dir="ltr"><div dir="auto"><u>Keywords</u>: symmetry - PDEs - stability - Riemannian manifolds - parabolicity.</div><div dir="auto"><br></div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto"><u><b>Information to attend in room 3014</b></u></div><div dir="auto">The seminar will take place in room 3014, at the building U5-Ratio, Università degli Studi di Milano-Bicocca.</div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto"><u><b>Information to attend online </b></u></div><div dir="auto"><font color="#0000ff"><u><a href="https://unimib.webex.com/unimib/j.php?MTID=ma59a4bf765419abac928d8d35d7a8c29" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=ma59a4bf765419abac928d8d35d7a8c29</a></u> </font>(Password: Insalate (46725283 from phones))</div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto"><b>** We inform you that the talk will be recorded and uploaded on our website. If you join the talk after the starting time, we kindly ask you to ensure that your microphone and webcam are turned off **</b></div><div dir="auto"></div><div dir="auto">You can find the poster of the event in the attachment. </div><div dir="auto">We are looking forward to seeing you! </div><div dir="auto"></div><div dir="auto">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://sites.google.com/view/insalate-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">insalate.matematica@unimib.it</a>. Find us also on our Instagram page: <a href="https://www.instagram.com/insalate_di_matematica22/" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://www.instagram.com/insalate_di_matematica22/</a></div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto">The organizers: Andrea Bisterzo, Simone Blumer, Alberto Cassella, Bianca Marchionna, Andrea Rivezzi, Giovanni Siclari, Marta Tameni, Matteo Tarocchi, Marco Zullino.<br></div></div></div>
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