<div dir="ltr"><div>Per vostra informazione. Buona giornata,</div><div><br></div><div>Giulio</div><br><br><div class="gmail_quote gmail_quote_container"><div dir="ltr" class="gmail_attr">---------- Forwarded message ---------<br>Da: <strong class="gmail_sendername" dir="auto">Gianmario Tessitore - UNIMIB</strong> <span dir="auto"><<a href="mailto:gianmario.tessitore@unimib.it">gianmario.tessitore@unimib.it</a>></span><br>Date: mer 5 feb 2025 alle ore 11:02<br>Subject: Annuncio seminari De Lellis - ciclo Crossings<br>To: Irene M Sabadini <<a href="mailto:irene.sabadini@polimi.it">irene.sabadini@polimi.it</a>>, Adriano Tomassini <<a href="mailto:adriano.tomassini@unipr.it">adriano.tomassini@unipr.it</a>>, Sandra Mantovani <<a href="mailto:sandra.mantovani@unimi.it">sandra.mantovani@unimi.it</a>>, Cassani Daniele <<a href="mailto:daniele.cassani@uninsubria.it">daniele.cassani@uninsubria.it</a>>, Giulio Schimperna <<a href="mailto:giusch04@unipv.it">giusch04@unipv.it</a>>, Susanna Terracini <<a href="mailto:susanna.terracini@unito.it">susanna.terracini@unito.it</a>><br></div><br><br><div dir="ltr">Con perghiera di diffusione e scusandomi per il cross-posting<div>Saluti</div><div>Mario<br><div><br><span class="gmail_default" style="font-size:small"></span>________________________________<br>CROSSINGS - MATH SEMINARS<br><br><b>Monday 24th Februrary 2025, 14:30</b><br><br>in U1-06, Quadrilatero della scienza, Università di Milano Bicocca<br><br>speaker: Camillo de Lellis (IAS Princeton)<br><br>Technical seminar: “Area-minimizing integral currents: singularities<br>and structure”<br><br>A coffee break will follow<br><br><br>Abstract: Area-minimizing integral currents were introduced by De<br>Giorgi, Federer, and Fleming to build a successful existence theory<br>for the {\em oriented} Plateau problem. While celebrated examples of<br>singular minimizers were discovered soon after, a first theorem which<br>summarizes the work of several mathematicians in the 60es and 70es (De<br>Giorgi, Fleming, Almgren, Simons, and Federer) and a second theorem of<br>Almgren from 1980 give general dimension bounds for the singular set<br>which match the one of the examples, in codimension 1 and in general<br>codimension respectively.<br><br>In joint works with Anna Skorobogatova and Paul Minter we prove that<br>in higher codimension the singular set is (m-2)-rectifiable and the<br>tangent cone is unique at a.e. point. Independently and at the same<br>time, a proof of the same result has been discovered also by Krummel<br>and Wickramasekera. This theorem is the counterpart, in general<br>codimension, of a celebrated work of Leon Simon in the nineties for<br>the codimension 1 case. Moreover, a recent theorem by Liu proves that<br>the singular set can in fact be a fractal of any Hausdorff dimension<br><= m-2, indicating that the above structure theorem is indeed close to<br>optimal.<br><br><span class="gmail_default" style="font-size:small"></span>________________________________<br>CROSSINGS - MATH SEMINARS<br><br><b>Thursday 27th February 2025, 14:30</b><br><br>in Aula Martini U6-04, Università di Milano Bicocca<br><br>speaker: Camillo de Lellis (IAS Princeton)<br><br>Math Forum: “When reason produces monsters while it is wide awake”<br><br>A coffee break will follow<br><br><br>Abstract: “I turn with terror and horror from this lamentable<br>scourge”. This sentence was uttered by a very famous mathematician<br>towards the end of the XIX century, while referring to the work of<br>another very famous colleague. The object which generated such<br>virulent reaction is actually nowadays rather well accepted, in fact<br>it is often mentioned in basic textbooks on differential calculus. In<br>this lecture I will argue that it is just the first of a long series<br>of counterintuitive mathematical constructions, which all share some<br>common aspects. I will touch upon famous examples of the fifties,<br>sixties, eighties and nineties of the last century, all looking like<br>bizarre games of mathematicians made to defy common sense. However I<br>will finally turn to some discoveries of the last few years, which<br>confirm an old hypothesis of a theoretical physicist, recipient of the<br>Nobel prize in chemistry!<br><br>with our best regards<br>Daniele Valtorta<br>Gianmario Tessitore<br><br><br><div style="font-size:small"></div><br></div></div></div>
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