These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmuller curves, because their construction is very reminiscent of Hirzebruch-Zagier cycles. These new objects are analyzed in detai...Daugiau...
(Išleidimo metai: 28-Dec-2011, PDF+DRM, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814405232)
This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles proof of the S...Daugiau...
(Išleidimo metai: 02-Aug-2011, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470416416)
Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four. The original simply stated problem can be o...Daugiau...
(Išleidimo metai: 30-Mar-2018, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470443856)
This volume contains the proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose, a distinguished number theorist from Chuo University in Tokyo. Momose, who was a student of Yasutaka Ihara, made im...Daugiau...
Serija: CBMS Regional Conference Series in Mathematics
(Išleidimo metai: 01-Feb-2004, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470424626)
The book surveys some recent developments in the arithmetic of modular elliptic curves. It places a special emphasis on the construction of rational points on elliptic curves, the Birch and Swinnerton-Dyer conjecture, and the crucial role played by m...Daugiau...
(Išleidimo metai: 01-Dec-2015, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470428433)
M. Ram Murty has had a profound impact on the development of number theory throughout the world. To honor his mathematical legacy, a conference focusing on new research directions in number theory inspired by his most significant achievements was hel...Daugiau...
