[Dottorcomp] Fwd: Annuncio seminari De Lellis - ciclo Crossings

[Giulio Schimperna]

Per vostra informazione. Buona giornata,

Giulio


---------- Forwarded message ---------
Da: Gianmario Tessitore - UNIMIB <gianmario.tessitore a unimib.it>
Date: mer 5 feb 2025 alle ore 11:02
Subject: Annuncio seminari De Lellis - ciclo Crossings
To: Irene M Sabadini <irene.sabadini a polimi.it>, Adriano Tomassini <
adriano.tomassini a unipr.it>, Sandra Mantovani <sandra.mantovani a unimi.it>,
Cassani Daniele <daniele.cassani a uninsubria.it>, Giulio Schimperna <
giusch04 a unipv.it>, Susanna Terracini <susanna.terracini a unito.it>


Con perghiera di diffusione e scusandomi per il cross-posting
Saluti
Mario

________________________________
CROSSINGS - MATH SEMINARS

*Monday 24th Februrary 2025, 14:30*

in U1-06, Quadrilatero della scienza, Università di Milano Bicocca

speaker: Camillo de Lellis (IAS Princeton)

Technical seminar: “Area-minimizing integral currents: singularities
and structure”

A coffee break will follow


Abstract: 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.

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.

________________________________
CROSSINGS - MATH SEMINARS

*Thursday 27th February 2025, 14:30*

in Aula Martini U6-04, Università di Milano Bicocca

speaker: Camillo de Lellis (IAS Princeton)

Math Forum: “When reason produces monsters while it is wide awake”

A coffee break will follow


Abstract: “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!

with our best regards
Daniele Valtorta
Gianmario Tessitore
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