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The
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FIELDS
MEDAL SYMPOSIUM October 15 - 18, 2012
FUNDAMENTALS OF THE LANGLANDS PROGRAM
In honour of Ngô Bào Châu
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Special Program for High-school and Undergraduate Students
October
16, 2012 7:00 - 9:00 p.m.
at the Fields Institute, 222 College Street, Toronto
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The inaugural Fields Medal Symposium is centred on the work of 2010 Fields Medallist Ngô Bào Châu, and its current and potential impact. The goal is bring Ngô's work to a broader public audience. This special program brings together students and mathematics professionals for an evening of discussion and inspiration, giving students the opportunity to ask questions and learn new ideas. Ingrid Daubechies, President of the International Mathematical Union, and Edward Frenkel, mathematician and filmmaker, will stir students' curiosity with talks about their work. Later in the evening, Ngô Bào Châu will join Ingrid, Edward, and renowned textbook author James Stewart for a panel discussion entitled Mathematics on Stage and Behind the Scenes — To Infinity and Beyond.The panel will be moderated by Zach Paikin.
The 2012 Symposium is part of the Institute's 20th Anniversary celebrations, and is the first in an annual series that will bring the most recent Fields Medallists to the Fields Institute. Visit our Symposium webpage to learn more.
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EVENING PROGRAM
Welcoming
Remarks:
Edward Bierstone, Director, The Fields Institute
Ingrid
Daubechies, President of the International Mathematical
Union
Surfing with Wavelets
Wavelets provide a mathematical tool that emerged in the 1980s from a synthesis of ideas in mathematics, physics, computer science and engineering. Wavelets provide a mathematical way to "zoom in" on details, without losing track of the large picture. They are now used in a wide range of mathematical applications, including compression and reconstruction of images from medical scans and the internet. The talk will describe some of the essential features of the approach, and illustrate with examples.
Edward
Frenkel, University of California, Berkeley
Symmetry in Mathematics and Physics
Symmetry
is one of the central concepts in mathematics. In
geometry, it corresponds to transformations preserving
various objects. In number theory, to symmetries of
numbers and equations. Elementary particles and quantum
fields can also be symmetrical, and the more we know
about their symmetries the better we understand the
interactions between them. A unifying theory of mathematical
symmetries, the Langlands Program, has been gradually
built over the last 45 years. And recently an unexpected
link to Quantum Physics was discovered. In this talk
I will give an overview of these topics for non-specialists.
Mathematics on Stage and Behind the Scenes — To Infinity and Beyond
Panel
Discussion | Moderated by Zach Paikin, Munk School of Global Affairs, University of Toronto
Panelists:
Ngô
Bào Châu
Ingrid Daubechies Edward
Frenkel James
Stewart
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Level Sponsor |
Silver
Level Sponsor |
Bronze
Level Sponsors |
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James
Stewart, Prof. Emeritus, McMaster University,text book
author, donor of the Fields Institute Library
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Edward
Bierstone, Fields Institute and the University of
Toronto
George Elliott, Fields Institute and the University
of Toronto
John R. Gardner
Philip Siller, BroadRiver Asset Management, L.P.
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