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Numbers, knots and ratings

Vaughan Jones

Professor at Vanderbilt University at Nashville Fields medal in 1990 (obtained for research conducted at UNIGE)

It seems that we humans know how to estimate up to seven objects without counting them. Seven is not a large number. Yet, this has not prevented us from inventing all the following ones, up to infinity and even beyond. Zero and the decimal system have appeared fairly recently, but this notation, along with algebra in particular, has led to a spectacular development in mathematics, whose current flagships include the famed «last theorem of Fermat» and «Riemann’s hypothesis». More subtle than numbers, knots are also much younger. One of the difficulties of studying knots is to find a good notation system. But the advanced state of the rest of mathematics and physics has already propelled it into the field of quantum physics. This link is so new that we do not yet know what questions to ask, but we are waiting for problems that rival those of Fermat and Riemann to emerge. One of the most appealing is undoubtedly the intriguing «Kashaev’s volume conjecture».

Before the lectures, from 17:30, the University’s public science labs, Scienscope, offer activities.

6 November 2020 - 18:30

Venue : Auditoire Piaget, Uni Dufour 24 rue Général-Dufour, 1204 Genève

Info : Simultaneous translation to French and English
- Lecture live streamed on this page.

Public talks

Chaos: unpredictable but understandable
Chaos: unpredictable but understandable

2 November 2020 - 18:30

Etienne Ghys

Research Director at CNRS,
Professor at the École normale supérieure in Lyon
Permanent Secretary of the Academy of Science of France

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Disorder, chance and large numbers
Disorder, chance and large numbers

3 November 2020 - 18:30

Laure Saint-Raymond

Professor at the École normale supérieure in Lyon
Bôcher Memorial Prize in 2020

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A mathematical journey From the infinitely small to the infinitely large
A mathematical journey From the infinitely small to the infinitely large

4 November 2020 - 18:30

Martin Hairer

Professor of mathematics at Imperial College London
Fields Medal in 2014 (obtained for research conducted at UNIGE)

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The music of shapes
The music of shapes

5 November 2020 - 18:30

Alain Connes

Professor at the Collège de France,
at the Institut des hautes études scientifiques at the University of Paris-Saclay
and at Ohio State University, Columbus
Fields medal in 1982

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MODERATION
MODERATION
OLIVIER DESSIBOURG

Scientific journalist, physicist, mathematician
Director of Science Communication at the Fondation Geneva Science and Diplomacy Anticipator.

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Previous editions

2018

Gravity, l'attraction universelle

2016

La révolution génomique

2014

Les secrets du soleil

2012

Architecture moléculaire

2010

La révolution quantique

2008

Grandes épidémies: le retour ?

2006

[r]évolution climatique ?