Pp.L 06Ff., for a Cursory and Popular Account of the Fellowship-Program in Physics
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Journal Für Die Reine Und Angewandte Mathematik
BAND 771 · FeBRUAR 2021 Journal für die reine und angewandte Mathematik (Crelles Journal) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON Carl Wilhelm Borchardt ∙ Karl Weierstrass ∙ Leopold Kronecker Lazarus Fuchs ∙ Kurt Hensel ∙ Ludwig Schlesinger ∙ Helmut Hasse Hans Rohrbach ∙ Martin Kneser ∙ Peter Roquette GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding, Cambridge MA ∙ Jun-Muk Hwang, Seoul Daniel Huybrechts, Bonn ∙ Rainer Weissauer, Heidelberg Geordie Williamson, Sydney JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK (CRELLES JOURNAL) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON August Leopold Crelle (1826–1855) Peter Roquette (1977–1998) Carl Wilhelm Borchardt (1857–1881) Samuel J. Patterson (1982–1994) Karl Weierstrass (1881–1888) Michael Schneider (1984–1995) Leopold Kronecker (1881–1892) Simon Donaldson (1986–2004) Lazarus Fuchs (1892–1902) Karl Rubin (1994–2001) Kurt Hensel (1903–1936) Joachim Cuntz (1994–2017) Ludwig Schlesinger (1929–1933) David Masser (1995–2004) Helmut Hasse (1929–1980) Gerhard Huisken (1995–2008) Hans Rohrbach (1952–1977) Eckart Viehweg (1996–2009) Otto Forster (1977–1984) Wulf-Dieter Geyer (1998–2001) Martin Kneser (1977–1991) Yuri I. Manin (2002–2008) Willi Jäger (1977–1994) Paul Vojta (2004–2011) Horst Leptin (1977–1995) Marc Levine (2009–2012) GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding Jun-Muk Hwang Daniel Huybrechts Rainer Weissauer Geordie Williamson AUSGABEDATUM DES BANDES 771 Februar 2021 CONTENTS G. Tian, G. Xu, Virtual cycles of gauged Witten equation . 1 G. Faltings, Arakelov geometry on degenerating curves . .. 65 P. Lu, J. Zhou, Ancient solutions for Andrews’ hypersurface flow . 85 S. Huang, Y. Li, B. Wang, On the regular-convexity of Ricci shrinker limit spaces . 99 T. Darvas, E. -
Journal Für Die Reine Und Angewandte Mathematik
BAND 776 · juLi 2021 Journal für die reine und angewandte Mathematik (Crelles Journal) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON Carl Wilhelm Borchardt ∙ Karl Weierstrass ∙ Leopold Kronecker Lazarus Fuchs ∙ Kurt Hensel ∙ Ludwig Schlesinger ∙ Helmut Hasse Hans Rohrbach ∙ Martin Kneser ∙ Peter Roquette GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding, Cambridge MA ∙ Daniel Huybrechts, Bonn Jun-Muk Hwang, Seoul ∙ Jakob Stix, Frankfurt am Main Rainer Weissauer, Heidelberg ∙ Geordie Williamson, Sydney JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK (CRELLES JOURNAL) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON August Leopold Crelle (1826–1855) Peter Roquette (1977–1998) Carl Wilhelm Borchardt (1857–1881) Samuel J. Patterson (1982–1994) Karl Weierstrass (1881–1888) Michael Schneider (1984–1995) Leopold Kronecker (1881–1892) Simon Donaldson (1986–2004) Lazarus Fuchs (1892–1902) Karl Rubin (1994–2001) Kurt Hensel (1903–1936) Joachim Cuntz (1994–2017) Ludwig Schlesinger (1929–1933) David Masser (1995–2004) Helmut Hasse (1929–1980) Gerhard Huisken (1995–2008) Hans Rohrbach (1952–1977) Eckart Viehweg (1996–2009) Otto Forster (1977–1984) Wulf-Dieter Geyer (1998–2001) Martin Kneser (1977–1991) Yuri I. Manin (2002–2008) Willi Jäger (1977–1994) Paul Vojta (2004–2011) Horst Leptin (1977–1995) Marc Levine (2009–2012) GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding Daniel Huybrechts Jun-Muk Hwang Jakob Stix Rainer Weissauer Geordie Williamson AUSGABEDATUM DES BANDES 776 Juli 2021 CONTENTS C. Song, Local existence and uniqueness of skew mean curvature flow . 1 H. Hu, J.-B. Teyssier, Characteristic cycle and wild ramification for nearby cycles of étale sheaves . 27 P. Baki´c , M. Hanzer, Theta correspondence for p-adic dual pairs of type I . -
Remarkable Hungarian Mathematicians at the Cluj University
Stud. Univ. Babe¸s-Bolyai Math. 59(2014), No. 4, 419{433 Remarkable Hungarian mathematicians at the Cluj University Ferenc Szenkovits Abstract. We provide a brief overview of the life and activity of the most remark- able Hungarian mathematicians who worked at the University of Cluj, from the beginnings to the present day. Mathematics Subject Classification (2010): 01A55, 01A60, 01A73. Keywords: University of Cluj, Hungarian mathematicians. 1. Introduction The first higher education institution in Cluj (Kolozsv´ar,Claudiopolis), a Jesuit colleage with three faculties: Theology, Philosophy and Law, was set up on May 12, 1581 by Stephen B´athory, the prince of Transylvania and king of Poland. Over the centuries astronomy and mathematics had an important role between the subjects taught at this catholic school. The most remarkable professors of astron- omy and mathematics of this school were Mikl´osJ´anosi(1700{1741) and Maximilian Hell (1720{1792). J´anosiand Hell published the first mathematical textbooks in Cluj: Mikl´osJ´anosi: Trigonometria plana et sphaerica cum selectis ex geometria et astronomia problematibus, sinuum canonibus et propositionibus ex Euclide magis nec- essariis. Claudiopoli, 1737. Maximilian Hell: Compendia varia praxesque omnium operationum arithmeti- carum. Claudiopoli, 1755. Elementa mathematicae naturalis philosophiae ancillantia ad praefixam in scho- lis normam concinnata. Pars I., Elementa arithmeticae numericae et litteralis seu algebrae. Claudiopoli, 1755. Exercitationum mathematicarum Partes Tres. Claudiopoli. 1760. A new era begins in the Cluj university education on October 12, 1872, when the emperor Franz Joseph I of Austria approves a decision of the Hungarian Parliament for setting up the University of Cluj. This Hungarian university was between the This paper was presented at the 8th Conference on History of Mathematics & Teaching of Mathe- matics, Cluj-Napoca, May 21-25, 2014. -
Schwermer the Shaping of Arithmetic After CF Gauss's Disquisitiones
Goldstein · Schappacher · Schwermer The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae Catherine Goldstein Norbert Schappacher Joachim Schwermer Editors The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae With 36 Figures 123 Catherine Goldstein Joachim Schwermer Histoire des sciences mathématiques Fakultät für Mathematik Institut de mathématiques de Jussieu Universität Wien 175 rue du Chevaleret Nordbergstraße 15 75013 Paris, France 1090 Wien, Austria E-mail: [email protected] E-mail: [email protected] Norbert Schappacher UFR de mathématique et d’informatique / IRMA 7rueRenéDescartes 67084 Strasbourg Cedex, France E-mail: [email protected] Library of Congress Control Number: 2006932291 ISBN 978-3-540-20441-1 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com © Springer-Verlag Berlin Heidelberg 2007 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. -
Product Integration. Its History and Applications
Product integration. Its history and applications Lebesgue product integration In: Antonín Slavík (author): Product integration. Its history and applications. (English). Praha: Matfyzpress, 2007. pp. 65–98. Persistent URL: http://dml.cz/dmlcz/401134 Terms of use: © Antonín Slavík Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz Chapter 3 Lebesgue product integration While it is sufficient to use the Riemann integral in applications, it is rather un- satisfactory from the viewpoint of theoretical mathematics. The generalization of Riemann integral due to Henri Lebesgue is based on the notion of measure. The problem of extending Volterra’s definition of product integral in a similar way has been solved by Ludwig Schlesinger. Volterra’s and Schlesinger’s works differ in yet another way: Volterra did not worry about using infinitesimal quantities, and it is not always easy to translate his ideas into the language of modern mathematics. Schlesinger’s proofs are rather precise and can be read without greater effort except for occasionally strange notation. The foundations of mathematical analysis in 1930’s were firmer than in 1887; moreover, Schlesinger inclined towards theoretical mathematics, as opposed to Volterra, who always kept applications in mind. Ludwig Schlesinger1 Schlesinger’s biographies can be found in [Lex, McT]: Ludwig (Lajos in Hungarian) Schlesinger was born on the 1st November 1864 in a Hungarian town Trnava (Nagys- zombat), which now belongs to Slovakia. -
Goldstein · Schappacher · Schwermer the Shaping of Arithmetic After C. F
Goldstein · Schappacher · Schwermer The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae Catherine Goldstein Norbert Schappacher Joachim Schwermer Editors The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae With 36 Figures 123 Catherine Goldstein Joachim Schwermer Histoire des sciences mathématiques Fakultät für Mathematik Institut de mathématiques de Jussieu Universität Wien 175 rue du Chevaleret Nordbergstraße 15 75013 Paris, France 1090 Wien, Austria E-mail: [email protected] E-mail: [email protected] Norbert Schappacher UFR de mathématique et d’informatique / IRMA 7rueRenéDescartes 67084 Strasbourg Cedex, France E-mail: [email protected] Library of Congress Control Number: 2006932291 ISBN 978-3-540-20441-1 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com © Springer-Verlag Berlin Heidelberg 2007 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. -
Journal Für Die Reine Und Angewandte Mathematik
BAND 777 · AUGUST 2021 Journal für die reine und angewandte Mathematik (Crelles Journal) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON Carl Wilhelm Borchardt ∙ Karl Weierstrass ∙ Leopold Kronecker Lazarus Fuchs ∙ Kurt Hensel ∙ Ludwig Schlesinger ∙ Helmut Hasse Hans Rohrbach ∙ Martin Kneser ∙ Peter Roquette GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding, Cambridge MA ∙ Daniel Huybrechts, Bonn Jun-Muk Hwang, Seoul ∙ Jakob Stix, Frankfurt am Main Rainer Weissauer, Heidelberg ∙ Geordie Williamson, Sydney JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK (CRELLES JOURNAL) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON August Leopold Crelle (1826–1855) Peter Roquette (1977–1998) Carl Wilhelm Borchardt (1857–1881) Samuel J. Patterson (1982–1994) Karl Weierstrass (1881–1888) Michael Schneider (1984–1995) Leopold Kronecker (1881–1892) Simon Donaldson (1986–2004) Lazarus Fuchs (1892–1902) Karl Rubin (1994–2001) Kurt Hensel (1903–1936) Joachim Cuntz (1994–2017) Ludwig Schlesinger (1929–1933) David Masser (1995–2004) Helmut Hasse (1929–1980) Gerhard Huisken (1995–2008) Hans Rohrbach (1952–1977) Eckart Viehweg (1996–2009) Otto Forster (1977–1984) Wulf-Dieter Geyer (1998–2001) Martin Kneser (1977–1991) Yuri I. Manin (2002–2008) Willi Jäger (1977–1994) Paul Vojta (2004–2011) Horst Leptin (1977–1995) Marc Levine (2009–2012) GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding Daniel Huybrechts Jun-Muk Hwang Jakob Stix Rainer Weissauer Geordie Williamson AUSGABEDATUM DES BANDES 777 August 2021 CONTENTS V. Apostolov, J. Streets, The nondegenerate generalized Kähler Calabi–Yau problem . 1 S. Leslie, G. Lonergan, Parity sheaves and Smith theory . 49 C. T. McMullen, Modular symbols for Teichmüller curves . 89 J. Schwermer, Eisenstein series and the top degree cohomology of arithmetic subgroups of SLn / . -
Journal Für Die Reine Und Angewandte Mathematik
BAND 755 · OKTOBER 2019 Journal für die reine und angewandte Mathematik (Crelles Journal) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON Carl Wilhelm Borchardt ∙ Karl Weierstrass ∙ Leopold Kronecker Lazarus Fuchs ∙ Kurt Hensel ∙ Ludwig Schlesinger ∙ Helmut Hasse Hans Rohrbach ∙ Martin Kneser ∙ Peter Roquette GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding, Cambridge MA ∙ Jun-Muk Hwang, Seoul Daniel Huybrechts, Bonn ∙ Rainer Weissauer, Heidelberg Geordie Williamson, Sydney JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK (CRELLES JOURNAL) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON August Leopold Crelle (1826–1855) Peter Roquette (1977–1998) Carl Wilhelm Borchardt (1857–1881) Samuel J. Patterson (1982–1994) Karl Weierstrass (1881–1888) Michael Schneider (1984–1995) Leopold Kronecker (1881–1892) Simon Donaldson (1986–2004) Lazarus Fuchs (1892–1902) Karl Rubin (1994–2001) Kurt Hensel (1903–1936) Joachim Cuntz (1994–2017) Ludwig Schlesinger (1929–1933) David Masser (1995–2004) Helmut Hasse (1929–1980) Gerhard Huisken (1995–2008) Hans Rohrbach (1952–1977) Eckart Viehweg (1996–2009) Otto Forster (1977–1984) Wulf-Dieter Geyer (1998–2001) Martin Kneser (1977–1991) Yuri I. Manin (2002–2008) Willi Jäger (1977–1994) Paul Vojta (2004–2011) Horst Leptin (1977–1995) Marc Levine (2009–2012) GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding Jun-Muk Hwang Daniel Huybrechts Rainer Weissauer Geordie Williamson AUSGABEDATUM DES BANDES 755 Oktober 2019 CONTENTS M. Melo, A. Rapagnetta, F. Viviani, – . 1 V. Tosatti, B. Weinkove, Hermitian metrics, (n − 1, n − 1) forms and Monge–Ampère equations . 67 C. Martínez, The number of maximalFourier torsion cosetsMukai in and subvarieties autoduality of torifor compactified . Jacobians.. I. 103 N. Buskin, Every rational Hodge isometry between two K3 surfaces is algebraic .