Hindustan Book Agency 2005; 414 pp; hardcover ISBN10: 8185931577 ISBN13: 9788185931579 List Price: US$66 Member Price: US$52.80 Order Code: HIN/23
 This volume contains refereed and updated versions of papers presented at the International Conference on Algebra and Number Theory held on the occasion of the silver jubilee of the School of Mathematics and Computer/Information Science at the University of Hyderabad (India). There are three survey articles on topics as disparate as the cyclicity problem for division algebras, Ramanujan graphs and supplementary zeroes of \(p\)adic L functions of modular forms. There are three articles that announce results and eighteen original contributions. The section on algebra centers on recent work on quadratic forms and division algebras, though there are also papers on modules of Witt vectors, the HodgeTate conjecture, CalabiYau manifolds, and moduli stacks of vector bundles. The section on number theory centers on automorphic forms and representations. However, here again, there are papers on other themes pertaining to elliptic curves and transcendental number theory. This volume is suitable for young researchers, especially those interested in recent developments in the theory of quadratic and automorphic forms and representations. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students and research mathematicians interested in algebra, algebraic geometry, and number theory. Table of Contents Part I  Algebra  J.L. ColliotThélène  Fields of cohomological dimension one versus \(C_1\)fields
 F. Ischebeck and V. Kokot  Modules of Witt vectors
 B. Kahn  On "horizontal" invariants attached to quadratic forms
 L. Cardorin, M.A. Knus, and M. Rost  On the dimension and other numerical invariants of invariants of algebras and vector products
 I. Panin  Purity for multipliers
 W. Raskind  A generalized HodgeTate conjecture for algebraic varieties with totally degenerate reduction over \(p\)adic fields
 D. J. Saltman  The cyclicity question
 F. Neumann and U. Stuhler  Modulii stacks of vector bundles and Frobenius morphisms
 R. Parimmala and V. Suresh  On the length of a quadratic form
 L. H. Rowen, A. S. Sivatski, and J.P. Tignol  Division algebras over rational function fields in one variable
Part II  Number Theory  U. K. Anandavardhanan  Distinguished nonarchimedian representations
 P. Colmez  Zéros supplémentaires de fonctions \(Lp\)adiques de formes modulaires
 T. Geisser  The cyclotomic trace map and values of zeta functions
 E. Ghate  Ordinary forms and their local Galois representations
 J. Hakim  Supercuspidal representations and symmetric spaces
 K. F. Lai and C. L. Zhao  Overconvergent \(p\)adic Siegel modular forms
 V. K. Murty  Splitting of abelian varieties: a new local global problem
 M. R. Murty  Ramanujan graphs and zeta functions
 C. S. Rajan  Recovering modular forms and representations from tensor and symmetric powers
 K. Paranjpe and D. Ramakrishnan  Quotients of \(En\) by a \(n+1\) and CalabiYau manifolds
 K. Hiraga and H. Saito  On restriction of admissible representations
 J. Coates and R. Sujatha  Fine Selmer groups for elliptic curves with complex multiplication
 M. Waldschmidt  Variations on the Six Exponential Theorem
 H. Shiga  Appendix: Periods on the Kummer surface
 T. Kashio and H. Yoshida  On the \(p\)adic absolute \(CM\)period symbol
