<div dir="auto">Cari tutti,<div dir="auto"><br></div><div dir="auto">Vi inoltro le informazioni riguardanti una coppia di interessanti seminari che terrà il Prof. Camillo de Lellis l'ultima settimana di febbraio presso l'università di Milano Bicocca.<br><div class="gmail_quote gmail_quote_container" dir="auto"><div dir="ltr" class="gmail_attr"><br></div>Buona giornata,</div><div class="gmail_quote gmail_quote_container" dir="auto">Marialetizia</div><div class="gmail_quote gmail_quote_container" dir="auto"><br><div dir="auto"><p>%%%%%%%%%%%%%%</p>
<p>Camillo De Lellis è un prof dell'IAS (ha anche una pagina <a href="https://en.wikipedia.org/wiki/Camillo_De_Lellis" target="_blank" rel="noreferrer">wikipedia</a>),
e oltre ad essere bravissimo fa dei seminari molto interessanti.
Soprattutto il secondo dovrebbe essere interessante per tutti.</p><p>Di seguito i dettagli degli incontri.</p><div>-------------------------------------</div><div dir="auto">
<div lang="x-unicode" dir="auto">
<p><font face="arial, sans-serif">Dear recipients,</font></p>
<p><font face="arial, sans-serif">We announce the following
Crossings seminars by Camillo de Lellis on the 24th and 27th
of February, at the University of Milano-Bicocca. The first
one is a technical seminar, intended mainly for
mathematicians. The second seminar is designed for a wide
public and doesn't require a background in mathematics.</font></p>
<p><font face="arial, sans-serif"><br>
</font></p>
<div>
<div style="color:rgb(0,0,0);text-align:center"><b><font face="arial, sans-serif">CROSSINGS - MATH SEMINARS<br>
</font></b></div>
<div style="color:rgb(0,0,0);text-align:center"><b><font face="arial, sans-serif"><br>
</font></b></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif">Monday <b>24th Februrary 2025,</b><b>
14:30</b></font></div>
<div style="color:rgb(0,0,0);text-align:center"><b><font face="arial, sans-serif"><br>
</font></b></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif">in <b><a href="https://www.google.com/maps/place/Building+U1+-+University+of+Milan+-+Bicocca/@45.5133331,9.2092903,16z/data=!3m1!4b1!4m6!3m5!1s0x4786c747f8f0de01:0x54b8d5b5d925b715!8m2!3d45.5133294!4d9.2118652!16s%2Fg%2F11b6_t8lp1?entry=ttu&g_ep=EgoyMDI1MDEwOC4wIKXMDSoASAFQAw%3D%3D" target="_blank" rel="noreferrer"><font size="5">U1</font>-06</a></b>,
Quadrilatero della scienza, Università di Milano Bicocca<b><br>
</b></font></div>
<div style="color:rgb(0,0,0);text-align:center"><b><font face="arial, sans-serif"><br>
</font></b></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif">speaker: <b>Camillo de Lellis</b><b> </b>(IAS
Princeton)<br>
</font></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif"><br>
</font></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif">Technical seminar: “<b>Area-minimizing
integral currents: singularities and structure</b>”</font></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif"><br>
</font></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif">A coffee break will follow</font></div>
<div style="color:rgb(0,0,0);text-align:center;font-size:12px"><font face="arial, sans-serif"><br>
</font></div>
<div style="color:rgb(0,0,0);text-align:center;font-size:12px"><font face="arial, sans-serif"><br>
</font></div>
<div style="color:rgb(0,0,0);font-size:12px"><font face="arial, sans-serif"><b><i><u>Abstract:</u> </i></b><i>Area-minimizing
integral currents were introduced by De Giorgi, Federer,
and Fleming to build a successful existence theory for
the {\em oriented} Plateau problem. While celebrated
examples of singular minimizers were discovered soon
after, a first theorem which summarizes the work of
several mathematicians in the 60es and 70es (De Giorgi,
Fleming, Almgren, Simons, and Federer) and a second
theorem of Almgren from 1980 give general dimension
bounds for the singular set which match the one of the
examples, in codimension 1 and in general codimension
respectively. <br>
<br>
In joint works with Anna Skorobogatova and Paul Minter
we prove that in higher codimension the singular set is
(m-2)-rectifiable and the tangent cone is unique at a.e.
point. Independently and at the same time, a proof of
the same result has been discovered also by Krummel and
Wickramasekera. This theorem is the counterpart, in
general codimension, of a celebrated work of Leon Simon
in the nineties for the codimension 1 case. Moreover, a
recent theorem by Liu proves that the singular set can
in fact be a fractal of any Hausdorff dimension <=
m-2, indicating that the above structure theorem is
indeed close to optimal.</i></font></div>
<div style="color:rgb(0,0,0);font-size:12px"><i><font size="2" face="arial, sans-serif"><span class="gmail_default"></span><br>
</font></i></div>
</div>
<hr width="100%" size="2">
<div>
<div style="color:rgb(0,0,0);text-align:center"><b><font face="arial, sans-serif">CROSSINGS - MATH SEMINARS<br>
</font></b></div>
<div style="color:rgb(0,0,0);text-align:center"><b><font face="arial, sans-serif"><br>
</font></b></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif">Thursday<b> 27th February 2025, </b><b>14:30</b></font></div>
<div style="color:rgb(0,0,0);text-align:center"><b><font face="arial, sans-serif"><br>
</font></b></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif">in Aula Martini <b><a href="https://www.google.com/maps/place/Edificio+U6,+Piazza+dell'Ateneo+Nuovo,+1,+20126+Milano+MI/@45.5184501,9.2105308,16z/data=!3m1!4b1!4m6!3m5!1s0x4786c745fa87c3c9:0xdbc962bf4a46ab6!8m2!3d45.5184464!4d9.2131057!16s%2Fg%2F12hnlvnsm?entry=ttu&g_ep=EgoyMDI1MDEwOC4wIKXMDSoASAFQAw%3D%3D" rel="noreferrer noreferrer" target="_blank"><font size="5">U6-</font><font size="4">04</font></a></b>, Università di Milano
Bicocca<b><br>
</b></font></div>
<div style="color:rgb(0,0,0);text-align:center"><b><font face="arial, sans-serif"><br>
</font></b></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif">speaker:<b> Camillo de Lellis </b>(IAS
Princeton)<br>
</font></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif"><br>
</font></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif">Math Forum: “<b>When reason
produces monsters while it is wide awake</b>”</font></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif"><br>
</font></div>
<div style="color:rgb(0,0,0);text-align:center"><font face="arial, sans-serif">A coffee break will follow<br>
</font></div>
<div style="color:rgb(0,0,0);text-align:center;font-size:12px"><font face="arial, sans-serif"><br>
</font></div>
<div style="color:rgb(0,0,0);text-align:center;font-size:12px"><font face="arial, sans-serif"><br>
</font></div>
<div style="color:rgb(0,0,0);font-size:12px"><font face="arial, sans-serif"><b><i><u>Abstract:</u> </i></b>“I
turn with terror and horror from this lamentable scourge”.
This sentence was uttered by a very famous mathematician
towards the end of the XIX century, while referring to the
work of another very famous colleague. The object which
generated such virulent reaction is actually nowadays
rather well accepted, in fact it is often mentioned in
basic textbooks on differential calculus. In this lecture
I will argue that it is just the first of a long series of
counterintuitive mathematical constructions, which all
share some common aspects. I will touch upon famous
examples of the fifties, sixties, eighties and nineties of
the last century, all looking like bizarre games of
mathematicians made to defy common sense. However I will
finally turn to some discoveries of the last few years,
which confirm an old hypothesis of a theoretical
physicist, recipient of the Nobel prize in chemistry!</font></div>
</div>
<font face="arial, sans-serif"><br>
</font> <font face="arial, sans-serif">with our best regards</font>
<div style="font-size:small"><font face="arial, sans-serif"><span class="gmail_default" style="font-size:small"></span></font></div>
<div style="font-size:small"><font face="arial, sans-serif">Daniele
Valtorta</font></div>
<span style="font-family:arial,sans-serif">Gianmario Tessitore</span>
</div>
</div>
</div>
</div></div></div>