[dottormate] Fwd: Annuncio seminari de Lellis - ciclo Crossings

Marialetizia Mosconi m.mosconi a campus.unimib.it
Mar 4 Feb 2025 07:32:36 CET


Cari tutti,

Vi inoltro le informazioni riguardanti una coppia di interessanti seminari
che terrā il Prof. Camillo de Lellis l'ultima settimana di febbraio presso
l'universitā di Milano Bicocca.

Buona giornata,
Marialetizia

%%%%%%%%%%%%%%

Camillo De Lellis č un prof dell'IAS (ha anche una pagina wikipedia
<https://en.wikipedia.org/wiki/Camillo_De_Lellis>), e oltre ad essere
bravissimo fa dei seminari molto interessanti. Soprattutto il secondo
dovrebbe essere interessante per tutti.

Di seguito i dettagli degli incontri.
-------------------------------------

Dear recipients,

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.



*CROSSINGS - MATH SEMINARS *

Monday *24th Februrary 2025,** 14:30*

in *U1-06
<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>*,
Quadrilatero della scienza, Universitā 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
<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>*,
Universitā 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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