Ribet Academy
Ribet may refer to: * Florent Ribet (born 1989), French bobsledder who competed at the 2014 Winter Olympics * Ken Ribet (born 1948), American mathematician * Ribet Academy, a private independent boarding school for boys and girls in Los Angeles, California See also * Beijing Shuren Ribet Private School, Beijing, China * Herbrand–Ribet theorem, in mathematics * Ribet's lemma, named after Ken Ribet * Ribet's theorem Ribet's theorem (earlier called the epsilon conjecture or ε-conjecture) is part of number theory. It concerns properties of Galois representations associated with modular forms. It was proposed by Jean-Pierre Serre and proven by Ken Ribet. The p ..., proved by Ken Ribet * Stade Jules Ribet, a rugby stadium in Saint-Gaudens, France * {{disambig, surname ...
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Florent Ribet
Florent Ribet (born in Grenoble) is a French bobsledder.FIBT Profile
Ribet competed at the for France. He teamed with driver , and

Ken Ribet
Kenneth Alan Ribet (; born June 28, 1948) is an American mathematician working in algebraic number theory and algebraic geometry. He is known for the Herbrand–Ribet theorem and Ribet's theorem, which were key ingredients in the proof of Fermat's Last Theorem, as well as for his service as President of the American Mathematical Society from 2017 to 2019. He is currently a professor of mathematics at the University of California, Berkeley. Early life and education Kenneth Ribet was born in Brooklyn, New York to parents David Ribet and Pearl Ribet, both Jewish, on June 28, 1948. As a student at Far Rockaway High School, Ribet was on a competitive mathematics team, but his first field of study was chemistry. Ribet earned his bachelor's degree and master's degree from Brown University in 1969. In 1973, Ribet received his Ph.D. from Harvard University under the supervision of John Tate. Career After receiving his doctoral degree, Ribet taught at Princeton University for three years ...
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Ribet Academy
Ribet may refer to: * Florent Ribet (born 1989), French bobsledder who competed at the 2014 Winter Olympics * Ken Ribet (born 1948), American mathematician * Ribet Academy, a private independent boarding school for boys and girls in Los Angeles, California See also * Beijing Shuren Ribet Private School, Beijing, China * Herbrand–Ribet theorem, in mathematics * Ribet's lemma, named after Ken Ribet * Ribet's theorem Ribet's theorem (earlier called the epsilon conjecture or ε-conjecture) is part of number theory. It concerns properties of Galois representations associated with modular forms. It was proposed by Jean-Pierre Serre and proven by Ken Ribet. The p ..., proved by Ken Ribet * Stade Jules Ribet, a rugby stadium in Saint-Gaudens, France * {{disambig, surname ...
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Beijing Shuren Ribet Private School
Beijing Shuren-Ribet Private School (SRPS; ) is a K-12 private school in Songzhuang, Tongzhou District, Beijing. It has both day and boarding programs. Wang Jianchao, a former university professor, founded Beijing Shuren Private School in 1993. Honors Diploma, Advanced Diploma, and Standard Diploma are all available at the school. Notable alumni Jiang Yiyi Jiang Yiyi (, born 1 January 2001) is a Chinese actress. Career Jiang is a child actress who is known for portraying the younger counterparts of many notable characters in television and films. She made her first acting appearance in the 2007 dr ... References External links Beijing Shuren-Ribet Private School {{coord missing, Beijing International schools in Beijing Buildings and structures in Tongzhou District, Beijing ...
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Herbrand–Ribet Theorem
In mathematics, the Herbrand–Ribet theorem is a result on the class group of certain number fields. It is a strengthening of Ernst Kummer's theorem to the effect that the prime ''p'' divides the class number of the cyclotomic field of ''p''-th roots of unity if and only if ''p'' divides the numerator of the ''n''-th Bernoulli number ''B''''n'' for some ''n'', 0 < ''n'' < ''p'' − 1. The Herbrand–Ribet theorem specifies what, in particular, it means when ''p'' divides such an ''B''_''n''.

Statement

The Δ of the of ''p''th roots of unity for an odd prime ''p'', Q(ζ) with ζ^''p'' = 1, consists of the ''p'' − 1 group elements σ _{...
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Ribet's Lemma
In mathematics, Ribet's lemma gives conditions for a subgroup of a product of groups to be the whole product group. It was introduced by . Statement Suppose ''G''1×...×''G''''n'' is a product of perfect groups. Then any subgroup of this product that maps onto all the factors ''G''''i'' for ''i=1, ..., n'' is the whole product group. References *{{citation, mr=0457455 , last=Ribet, first= Kenneth A. , title=Galois action on division points of Abelian varieties with real multiplications , journal=Amer. J. Math., volume= 98 , year=1976, issue= 3, pages=751–804, jstor=2373815, doi=10.2307/2373815 Theorems in group theory ...
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Ribet's Theorem
Ribet's theorem (earlier called the epsilon conjecture or ε-conjecture) is part of number theory. It concerns properties of Galois representations associated with modular forms. It was proposed by Jean-Pierre Serre and proven by Ken Ribet. The proof was a significant step towards the proof of Fermat's Last Theorem (FLT). As shown by Serre and Ribet, the Taniyama–Shimura conjecture (whose status was unresolved at the time) and the epsilon conjecture together imply that FLT is true. In mathematical terms, Ribet's theorem shows that if the Galois representation associated with an elliptic curve has certain properties, then that curve cannot be modular (in the sense that there cannot exist a modular form that gives rise to the same representation). Statement Let be a weight 2 newform on – i.e. of level where does not divide – with absolutely irreducible 2-dimensional mod Galois representation unramified at if and finite flat at . Then there exists a weigh ...
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