astronomy

Michael Rapoport

Michael Rapoport is a astronomy 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 Michael Rapoport rather than just read about it. In short: Michael Rapoport (born 2 October 1948) is an Austrian mathematician. Career Rapoport received his PhD from Paris-Sud 11 University in 1976, under the supervision of Pierre Deligne.

Key takeaways

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

Reference excerpt

Michael Rapoport (born 2 October 1948) is an Austrian mathematician.

Career Rapoport received his PhD from Paris-Sud 11 University in 1976, under the supervision of Pierre Deligne. He held a chair for arithmetic algebraic geometry at the University of Bonn, as well as a visiting appointment at the University of Maryland. In 1992, he was awarded the Gottfried Wilhelm Leibniz Prize, in 1999 he won the Gay-Lussac Humboldt Prize, and he is the recipient of the 2011 Heinz Hopf Prize. In 1994, he was an Invited Speaker (with talk Non-Archimedean period domains) at the ICM in Zürich. Rapoport's students include Maria Heep-Altiner, Werner Baer, Peter Scholze, Eva Viehmann.

Personal life Michael Rapoport is the son of pediatrician Ingeborg Rapoport and biochemist Samuel Mitja Rapoport, and brother of biochemist Tom Rapoport.

Selected publications Deligne, P.; Rapoport, M. (1973). "Les Schémas de Modules de Courbes Elliptiques" (PDF). Lecture Notes in Mathematics. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/978-3-540-37855-6_4. ISBN 978-3-540-06558-6. ISSN 0075-8434. Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-sheng (2009). Smooth Compactifications of Locally Symmetric Varieties (PDF). Cambridge: Cambridge University Press. doi:10.1017/cbo9780511674693. ISBN 978-0-511-67469-3. Rapoport, M.; Zink, Th. (1982). "Über die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik". Inventiones Mathematicae (in German). 68 (1). Springer Science and Business Media LLC: 21–101. Bibcode:1982InMat..68...21R. doi:10.1007/bf01394268. ISSN 0020-9910. S2CID 118533956. Laumon, G.; Rapoport, M.; Stuhler, U. (1993). "D-elliptic sheaves and the Langlands correspondence". Inventiones Mathematicae. 113 (1). Springer Science and Business Media LLC: 217–338. Bibcode:1993InMat.113..217L. doi:10.1007/bf01244308. ISSN 0020-9910. S2CID 124557672. Rapoport, Michael (1995). "Non-Archimedian [sic] Period Domains" (PDF). Proceedings of the International Congress of Mathematicians. Basel: Birkhäuser Basel. pp. 423–434. doi:10.1007/978-3-0348-9078-6_35. ISBN 978-3-0348-9897-3. with M. Richartz: On the classification and specialization of F-isocrystals with additional structure. In: Composito Mathematica 103(1996), no. 2, pp. 153–182. MR 1411570 Rapoport, M (1996). Period spaces for p-divisible groups (PDF). Princeton, N.J: Princeton University Press. ISBN 978-0-691-02782-1. OCLC 945632434. Kudla, Stephen (2006). Modular forms and special cycles on Shimura curves (PDF). Princeton: Princeton University Press. ISBN 0-691-12551-1. OCLC 803434031. Kudla, Stephen; Rapoport, Michael (25 November 2010). "Special cycles on unitary Shimura varieties I. Unramified local theory". Inventiones Mathematicae. 184 (3). Springer Science and Business Media LLC: 629–682. arXiv:0804.0600. doi:10.1007/s00222-010-0298-z. ISSN 0020-9910. S2CID 15824793.

See also Ahmed Abbes Yves André Ellen Baake Isaak Bacharach

References

External links Homepage in Bonn Oberwolfach Photo Collection, Details for Michael Rapoport Michael Rapoport publications indexed by Google Scholar

Illustrations

Worked examples

Example 1 — a first encounter with Michael Rapoport

Start with the simplest possible case. Write down what Michael Rapoport claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Michael Rapoport 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 Michael Rapoport 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 Michael Rapoport

In research: Michael Rapoport appears in astronomy 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 Michael Rapoport 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: Michael Rapoport is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, 20th-century German mathematicians, Academic staff of the University of Bonn, so understanding it makes those chapters shorter.
In everyday life: Look for Michael Rapoport 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 Michael Rapoport in 20 minutes

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

Frequently asked questions

What is Michael Rapoport in simple terms?

Michael Rapoport (born 2 October 1948) is an Austrian mathematician. Career Rapoport received his PhD from Paris-Sud 11 University in 1976, under the supervision of Pierre Deligne.

Why does Michael Rapoport matter?

Because it connects several astronomy 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 Michael Rapoport?

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 Michael Rapoport.