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Marie-France Vignéras

Marie-France Vignéras is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Marie-France Vignéras rather than just read about it. In short: Marie-France Vignéras (born 1946) is a French mathematician. She is a Professor Emeritus of the Institut de Mathématiques de Jussieu in Paris.

Marie-France Vignéras — main illustration
Marie-France Vignéras — illustration

Key takeaways

  • Marie-France Vignéras belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Marie-France Vignéras to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Marie-France Vignéras from memory before moving on to harder problems.

Reference excerpt

Marie-France Vignéras (born 1946) is a French mathematician. She is a Professor Emeritus of the Institut de Mathématiques de Jussieu in Paris. She is known for her proof published in 1980 of the existence of isospectral non-isometric Riemann surfaces. Such surfaces show that one cannot hear the shape of a hyperbolic drum. Another highlight of her work is the establishment of the mod-l local Langlands correspondence for GL(n) in 2000. Her current work concerns the p-adic Langlands program.

Early life and education Born in 1946, Vignéras was the daughter of Janine Mocudé and Robert Vignéras (sea captain and pilot in the port of Dakar). She spent her childhood in Senegal, and did her high school studies at the lycée Van-Vollenhoven in Dakar. She moved to the University of Bordeaux after receiving her baccalauréat in Senegal. She received the agrégation de mathématiques in 1969 and the doctorat d'Etat in 1974; her thesis was written under the direction of Jacques Martinet.

Career Vignéras served as Director of Mathematics at the Ecole Normale Supérieure de Sèvres from 1977 to 1983. At the conclusion of her term at the ENS, she rejoined her colleagues at the University of Paris 7. Since 2010 she has been Emeritus Professor. Vignéras has made numerous invited visits to foreign universities and institutes, including the Max Planck Institute for Mathematics in Bonn, the University of California at Berkeley, the Tata Institute for Fundamental Research in Mumbai, the Radcliffe Institute at Harvard University. She has been the Emmy Noether Professor at the University of Göttingen and has been an invited speaker at the European Congress of Mathematics (Barcelona, 2000) and the International Congress of Mathematics (Beijing, 2002). Her thesis students include Jean-Loup Waldspurger (directeur de recherches at the C.N.R.S.), Jean-Francois Dat (professor at l'Université Pierre et Marie Curie (Paris 6)), Rachel Ollivier (associate professor at the University of British Columbia) and Tony Ly.

Awards Vignéras received the Médaille Albert Chatelet in 1978, the Médaille d'argent of the C.N.R.S. in 1984, the Prix von Humboldt in 1985 and the Prix Petit d'Ormoy, Carrière, Thébault of the French Academy of Sciences in 1997. She became a member of the Academia Europaea in 2017. She was elected to the 2018 class of Fellows of the American Mathematical Society.

Selected publications Vignéras, Marie-France (1980). Arithmetique Des Algebres De Quaternions. Lecture Notes in Mathematics (in French). Springer-Verlag. ISBN 978-0387099835. Vignéras, Marie-France (1996). Representations modulaires des groupes reductifs p-adiques. Representations cuspidales de GL(n). Springer Science and Business Media. ISBN 9780817639297. Vignéras, Marie-France (1997). "Cohomology of sheaves on the building and R-representations". Inventiones Mathematicae. 127 (2): 349–373. Bibcode:1997InMat.127..349V. CiteSeerX 10.1.1.172.1897. doi:10.1007/s002220050124. S2CID 10394956. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help) Vignéras, Marie-France (2004). "Representations modulo p of the p-adic group GL(2, F)". Compositio Mathematica. 140 (2): 333–358. doi:10.1112/s0010437x03000071. Vignéras, Marie-France (2005). "Pro-p-Iwahori Hecke ring and supersingular". Mathematische Annalen. 331 (3): 523–556. doi:10.1007/s00208-004-0592-4. S2CID 119823403.

References

External links Marie-France Vignéras at the Mathematics Genealogy Project Official website

Illustrations

Marie-France Vignéras: Marie-France Vignéras
Marie-France Vignéras

Worked examples

Example 1 — a first encounter with Marie-France Vignéras

Start with the simplest possible case. Write down what Marie-France Vignéras claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Marie-France Vignéras before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Marie-France Vignéras ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Marie-France Vignéras

In research
Marie-France Vignéras appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Marie-France Vignéras in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Marie-France Vignéras is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1946 births, 20th-century French mathematicians, 20th-century French women mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Marie-France Vignéras outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Marie-France Vignéras in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Marie-France Vignéras means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Marie-France Vignéras out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Marie-France Vignéras in simple terms?

Marie-France Vignéras (born 1946) is a French mathematician. She is a Professor Emeritus of the Institut de Mathématiques de Jussieu in Paris.

Why does Marie-France Vignéras matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Marie-France Vignéras?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Marie-France Vignéras.

Tags

  • 1946 births
  • 20th-century French mathematicians
  • 20th-century French women mathematicians
  • 21st-century French mathematicians
  • 21st-century French women mathematicians
  • Fellows of the American Mathematical Society
  • Living people
  • Members of Academia Europaea
  • University of Bordeaux alumni

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