European Women in Mathematics : Proceedings of the 13th General Meeting
By: Hobbs, Catherine.
Contributor(s): Paycha, Sylvie.Material type: TextPublisher: Singapore : World Scientific Publishing Company, 2009Description: 1 online resource (210 p.).ISBN: 9789814277686.Subject(s): Mathematics -- Congresses | Women in mathematics -- Europe -- Congresses | Women mathematicians -- Europe -- CongressesGenre/Form: Electronic books.Additional physical formats: Print version:: European Women in Mathematics : Proceedings of the 13th General MeetingDDC classification: 510.82 Online resources: Click here to access online
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Preface; Organizing Committees; CONTENTS; Part A Invited Talks; Deformation Quantisation and Connections S. Gutt; 1. Quantization; 2. Basic definitions; 3. Symplectic case: star products and symplectic connections; 3.1. Fedosov's construction; 4. Star products on Poisson manifolds; 4.1. Star products on Poisson manifolds and formality; 4.2. Kontsevich's formality for Rd; 4.3. Universal star product and universal formality; Universal star product; Universal formality; References; What is Symplectic Geometry? D. McDu ; 1. First notions; 2. Symplectomorphisms
3. Almost complex structures and J-holomorphic curves3.1. Sketch proof of the nonsqueezing theorem; Acknowledgements; References; Regular Permutation Groups and Cayley Graphs C. E. Praeger; 1. Introduction; 1.1. Permutation groups and regularity; 1.2. Cayley graphs; 2. A recognition problem for Cayley graphs; 3. Cayley graphs and B-groups; 4. A fascinating density result; 5. Exact factorisations of groups; 6. Primitive Cayley graphs for various groups G; 7. Types of finite primitive groups; 8. Exact factorisations of finite classical groups; References
Arithmetic of Elliptic Curves through the Ages R. Sujatha1. Introduction; 2. Elliptic curves and number theory; 3. Iwasawa theory; 4. Iwasawa algebras; 5. Main conjectures; 6. Applications and examples; References; Part B Contributed Short Talks; Tricritical Points and Liquid-Solid Critical Lines A. Aitta; 1. Introduction; 2. Landau theory; 3. Experimental evidence for iron; 4. Conclusions; References; Elastic Waves in Rods of Rectangular Cross Section A. A. Bondarenko; 1. Introduction; 2. Formulation of the problem; 3. Method of solution; 4. Results and discussion; 5. Conclusion
AcknowledgementReferences; Natural Extensions for the Golden Mean K. Dajani & C. Kalle; 1. Introduction; 2. Expansions and fundamental intervals; 3. Two rows of rectangles; 4. Towering the orbits; References; An Equivariant Tietze Extension Theorem for Proper Actions of Locally Compact Groups A. Feragen; 1. Introduction; 2. Prerequisites; 3. The equivariant Tietze extension theorem; References; On Uniform Tangential Approximation by Lacunary Power Series G. Harutyunyan; Notation and Introduction; 1. Uniform and tangential approximation by holomorphic functions; 2. Lacunary approximation
2.1. Uniform approximation by lacunary polynomials2.2. Auxiliary Proposition; 2.3. The main result; References; Cyclic Division Algebras in Space-Time Coding: A Brief Overview C. Hollanti; 1. Space-time coding: Idea and design criteria; 2. Cyclic division algebras and orders; 3. The discriminant bound; References; Part C Women in Mathematics; And What Became of the Women? C. Series; Introduction; At Cambridge; What did these three women do afterwards?; Postscript; Sources; References; Three Great Girton Mathematicians R. M. Williams; Dame Mary Cartwright, F.R.S.; Bertha Swirles, Lady Je reys
This volume offers a unique collection of outstanding contributions from renowned women mathematicians who met in Cambridge for a conference under the auspices of European Women in Mathematics (EWM). These contributions serve as excellent surveys of their subject areas, including symplectic topology, combinatorics and number theory. The volume moreover sheds light on prominent women mathematicians who worked in Cambridge in the late 19th and early 20th centuries by providing an insightful historical introduction at the beginning of the volume. The volume concludes with short contributions from women mathematicians from across Europe working in various areas of mathematics ranging from group theory to magnetic fields. Sample Chapter(s). Chapter 1: Deformation Quantisation and Connections (460 KB). Contents: Invited Talks: Deformation Quantisation and Connections (S Gutt); What is Symplectic Geometry? (D McDuff); Regular Permutation Groups and Cayley Graphs (C E Praeger); Arithmetic of Elliptic Curves Through the Ages (R Sujatha); Contributed Short Talks: Tricritical Points and Liquid-Solid Critical Lines (A Aitta); Elastic Waves in Rods of Rectangular Cross Section (A A Bonderenko); Natural Extensions for the Golden Mean (K Dajani & C Kalle); An Equivariant Tietze Extension Theorem for Proper Actions of Locally Compact Groups (A Feragen); On Uniform Tangential Approximation by Lacunary Power Series (G Harutyunyan); Cyclic Division Algebras in Space-Time Coding: A Brief Overview (C Hollanti); Women in Mathematics: And What Became of the Women? (C Series); Three Great Girton Mathematicians (R M Williams); What About the Women Now? (R M Williams); Mathematics in Society (Taking into Account Gender-Aspects) - A One-Semester Course (BSc) (C Scharlach). Readership: Graduate students and researchers in mathematics.