Essays on Geometry

Celebrating the 65th Birthday of Athanase Papadopoulos

A. Muhammed Uludağ, Ayberk Zeytin (Herausgeber)

Buch | Hardcover

X, 340 Seiten

2025
Springer International Publishing (Verlag)
978-3-031-76256-7 (ISBN)

Infos

The book is a comprehensive compilation of diverse articles delving into various intriguing topics within the realm of geometry. Each article is refereed by prominent researchers in the field. The book contains research articles offering valuable insights and original results, making it a valuable resource for researchers in the field, as well as survey articles that review current developments and list open problems.

Autor

A. Muhammed Uludag, a member of Galatasaray University's Mathematics Department in Istanbul, Turkey, is recognized for his enthusiasm about the modular group and has worked across diverse fields in mathematics. He earned his Ph.D. from Institut Joseph Fourier, France, in algebraic geometry, and has been deeply involved in academic research and teaching at Galatasaray University. Uludag is also active in contributing to academic journals, editing scholarly works, and organizing international mathematical conferences.

Ayberk Zeytin, a member of the Department of Mathematics at Galatasaray University, specializes in number theory and ML techniques, and their application in arithmetic, algebra, and geometry. In addition to his editorial work, he has authored numerous articles in respected journals and book chapters in international book series. He has visited several research institutions including MPIM Bonn, IHES. He has co-organized several international meetings and taken part in several research projects.

Inhalt

- 1. Introduction.- 2. Interview with Athanase Papadopoulos.- 3. A glance at S. Novikov's theory of multivalued Morse functions.- 4. A twisted invariant of a compact Riemann surface.- 5. Directional moduli and pseudoconvexity.- 6. Angle Defect for Super Triangles.- 7. Lipschitz and quasiconformal mappings in cartography.- 8. Spherical representations of the group of isometries of semi-homogeneous trees.- 9. Trees of fractions.- 10. Binary quadratic forms: modern developments.- 11. A Note on Reversibility of Unipotent Matrices.- 12. "Le complément supérieur": On the poetics of mathematics.- 13. Pythagorean Book II of the Elements restored and Pythagorean Incommensurabilities reconstructed.

Produkt-Details

• Erscheint lt. Verlag: 22.1.2025
• Zusatzinfo: X, 340 p. 63 illus., 29 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Maße: 155 x 235 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: Angle Defect • Bhargava Cube • binary quadratic forms • Çark • Directional Moduli • Harmonic Bifurcations • Kawazumi-Zhang Invariant • Kawazumi–Zhang Invariant • Modular Group and its Subgroups • Multivalued Morse Functions • Mumford-Morita-Miller Class • Mumford–Morita–Miller Class • Novikov Theory • Positive Definite Spherical Functions • Pseudoconvexity • Super Triangles • Unipotent Matrices
• ISBN-10: 3-031-76256-8 / 3031762568
• ISBN-13: 978-3-031-76256-7 / 9783031762567
• Zustand: Neuware