Symposium in honor of Abel laureate John Milnor

The Royal Swedish Academy of Science hosted a seminar on May 27, to honor the Abel Prize 2011 laureate John Milnor and his mathematical work. In 1962 Milnor received the Fields Medal - togehter with Lars Hörmander - at the International Congress of Mathematicians in Stockholm.

The Swedish Academy of Science will be the venue for a seminar in honor of Abel Laureate John Milnor. Photo: Lars Falck/KVAThe Swedish Academy of Science will be the venue for a seminar in honor of Abel Laureate John Milnor. Photo: Lars Falck/KVA

Description:

The purpose of this seminar is to honor John Milnor and his mathematical work.

Milnor's discovery of "exotic spheres" was completely unexpected. It lead to the creation of the field of "differential topology" and an explosion of work by a generation of brilliant mathematicians; this explosion has lasted for decades and changed the landscape of mathematics. Milnor's disproof of the long-standing Hauptvermutung overturned expectations about combinatorial topology dating back to Poincaré. Milnor also discovered homeomorphic smooth manifolds with nonisomorphic tangent bundles, for which he developed the theory of microbundles.

Outside topology, Milnor made significant contributions to differential geometry, algebra, and dynamical systems. In each area Milnor touched upon, his insights and approaches have had a profound impact on subsequent developments.

More recently, John Milnor turned his attention to dynamical systems in low dimensions. With Thurston, he pioneered "kneading theory" for interval maps, laying down the combinatorial foundations of interval dynamics, creating a focus of intense research for three decades. The Milnor−Thurston conjecture on entropy monotonicity prompted efforts to fully understand dynamics in the real quadratic family, bridging real and complex dynamics in a deep way and triggering exciting advances.

Milnor is also a wonderfully gifted expositor of sophisticated mathematics. He has often tackled difficult, cutting-edge subjects, where no account in book form existed. Adding novel insights, he produced a stream of timely yet lasting works of masterly lucidity. Like an inspired musical composer who is also a charismatic performer, John Milnor is both a discoverer and an expositor.

Program

14.30 Coffee and registration

15.00 Opening of the symposium
Nils Christian Stenseth, Vise-Preses i Det Norske Videnskaps-Akademi

15.05 Introduction - The Abel Prize
Ragni Piene, Abelkomiteen, University of Oslo, Norway

15.20 Spheres
John Milnor, Institute for Mathematical Sciences, Stony Brook University, New York

16.20 Lagrangian submanifolds and differential topology
Tobias Ekholm, Uppsala University & the Academy's Class for mathematical sciences

17.15 One-dimensional quasiperiodic dynamics: from circle diffeomorphims to interval exchange maps
Jean-Christophe Yoccoz, Collège de France & Tage Erlanderprofessor, KTH

 

 

 

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Nettressurs

Article about Abel Prize winner Langlands

Published on the AMS website

Robert P. Langlands receives the Abel Prize

The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2018 to Robert P. Langlands of the Institute for Advanced Study, Princeton, USA “for his visionary program connecting representation theory to number theory.”

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Det Norske Videnskaps-Akademi
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The Norwegian Academy of Science and Letters
Drammensveien 78
N-0271 Oslo, Norway
Telephone: + 47 22 84 15 00
Fax: + 47 22 12 10 99
E-mail: abelprisen@dnva.no
Web editor: Anne-Marie Astad
Design and technical solutions: Ravn Webveveriet AS