En poursuivant votre navigation sur ce site, vous acceptez l'utilisation d'un simple cookie d'identification. Aucune autre exploitation n'est faite de ce cookie. OK

The Fields Medallists 23 résultats

Filtrer
Sélectionner : Tous / Aucun
Q
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
2y

Integers expressible as the sum of two rational cubes - Bhargava, Manjul (Auteur de la Conférence) | CIRM H

Multi angle

We prove that a positive proportion of integers can be expressed as a sum of two rational cubes, and a positive proportion can not. This is joint work with Levent Alpoge and Ari Shnidman.

11G05 ; 14G05 ; 11D25

Sélection Signaler une erreur
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
y

Billiards and number theory - McMullen, Curtis T. (Auteur de la Conférence) | CIRM H

Multi angle

The dynamics of billiards in a regular polygon can be studied from a wide range of mathematical perspectives. In this talk we will discuss connections between periodic billiard paths and number theory, modular symbols, heights and Hilbert modular varieties. In particular we will describe a new form of arithmetic chaos that emerges from dynamics in the regular 12-gon.

Sélection Signaler une erreur
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
2y

The category MF in the semistable case - Faltings, Gerd (Auteur de la Conférence) | CIRM H

Post-edited

For smooth schemes the category $MF$ (defined by Fontaine for DVR's) realises the "mysterious functor", and provides natural systems of coeffients for crystalline cohomology. We generalise it to schemes with semistable singularities. The new technical features consist mainly of different methods in commutative algebra

14F30

Sélection Signaler une erreur
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
y

Interview at CIRM: Peter Scholze - Scholze, Peter (Personne interviewée) | CIRM H

Post-edited

Peter Scholze became known as a mathematician after finishing his Bachelor's degree in three semesters and his Master's degree in two further semesters. Scholze's subsequent PhD-thesis on Perfectoid spaces yields the solution to a special case of the weight-monodromy conjecture.
He was made full professor shortly after completing his PhD, the youngest full professor in Germany.
Since July 2011 Scholze is a Fellow of the Clay Mathematics Institute. In 2012 he was awarded the Prix and Cours Peccot. He was awarded the 2013 SASTRA Ramanujan Prize. In 2014 he received the Clay Research Award. In 2015 he will be awarded the Frank Nelson Cole Prize in Algebra, and also the Ostrowski Prize.
According to the University of Bonn and to his peers, Peter is one of the most brilliant researchers in his field...[-]
Peter Scholze became known as a mathematician after finishing his Bachelor's degree in three semesters and his Master's degree in two further semesters. Scholze's subsequent PhD-thesis on Perfectoid spaces yields the solution to a special case of the weight-monodromy conjecture.
He was made full professor shortly after completing his PhD, the youngest full professor in Germany.
Since July 2011 Scholze is a Fellow of the Clay Mathematics ...[+]

Sélection Signaler une erreur
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
2y
Jean-Christophe Yoccoz, né le 29 mai 1957 à Paris, est un mathématicien français, lauréat de la médaille Fields en 1994, professeur au Collège de France depuis 1996. Il est notamment connu pour ses travaux sur les systèmes dynamiques.

Sélection Signaler une erreur
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
y

Interview Cédric Villani - Villani, Cédric (Personne interviewée) | CIRM H

Post-edited

Directeur de l'Institut Henri Poincaré
Lauréat de la médaille Fields en 2010

Sélection Signaler une erreur
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
y

Primes with missing digits - Maynard, James (Auteur de la Conférence) | CIRM H

Multi angle

We will talk about recent work showing there are infinitely many primes with no $7$ in their decimal expansion. (And similarly with $7$ replaced by any other digit.) This shows the existence of primes in a 'thin' set of numbers (sets which contain at most $X^{1-c}$ elements less than $X$) which is typically vey difficult.
The proof relies on a fun mixture of tools including Fourier analysis, Markov chains, Diophantine approximation, combinatorial geometry as well as tools from analytic number theory.[-]
We will talk about recent work showing there are infinitely many primes with no $7$ in their decimal expansion. (And similarly with $7$ replaced by any other digit.) This shows the existence of primes in a 'thin' set of numbers (sets which contain at most $X^{1-c}$ elements less than $X$) which is typically vey difficult.
The proof relies on a fun mixture of tools including Fourier analysis, Markov chains, Diophantine approximation, com...[+]

11N05 ; 11A63

Sélection Signaler une erreur
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Sélection Signaler une erreur
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
2y

Large gaps between primes in subsets - Maynard, James (Auteur de la Conférence) | CIRM H

Post-edited

All previous methods of showing the existence of large gaps between primes have relied on the fact that smooth numbers are unusually sparse. This feature of the argument does not seem to generalise to showing large gaps between primes in subsets, such as values of a polynomial. We will talk about recent work which allows us to show large gaps between primes without relying on smooth number estimates. This then generalizes naturally to show long strings of consecutive composite values of a polynomial. This is joint work with Ford, Konyagin, Pomerance and Tao.[-]
All previous methods of showing the existence of large gaps between primes have relied on the fact that smooth numbers are unusually sparse. This feature of the argument does not seem to generalise to showing large gaps between primes in subsets, such as values of a polynomial. We will talk about recent work which allows us to show large gaps between primes without relying on smooth number estimates. This then generalizes naturally to show long ...[+]

11N05 ; 11N35 ; 11N36

Sélection Signaler une erreur
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
y

Interview at CIRM: Martin Hairer - Hairer, Martin (Personne interviewée) | CIRM H

Post-edited

Martin Hairer KBE FRS (born 14 November 1975 in Geneva, Switzerland) is an Austrian mathematician working in the field of stochastic analysis, in particular stochastic partial differential equations. As of 2017 he is Regius Professor of Mathematics at the University of Warwick, having previously held a position at the Courant Institute of New York University. He was awarded the Fields Medal in 2014, one of the highest honours a mathematician can achieve.[-]
Martin Hairer KBE FRS (born 14 November 1975 in Geneva, Switzerland) is an Austrian mathematician working in the field of stochastic analysis, in particular stochastic partial differential equations. As of 2017 he is Regius Professor of Mathematics at the University of Warwick, having previously held a position at the Courant Institute of New York University. He was awarded the Fields Medal in 2014, one of the highest honours a mathematician can ...[+]

Sélection Signaler une erreur