This volume combines contributions in topology and representation theory that reflect the increasingly vigorous interactions between these areas. Topics such as group theory, homotopy theory, cohomology of groups, and modular representations are covered. All papers have been carefully refereed and offer lasting value.

Hermann Weyl was one of the most influential mathematicians of the 20th century. Viewing mathematics as an organic whole rather than a collection of separate subjects, he made profound contributions to a wide range of areas, including analysis, geometry, number theory, Lie groups and mathematical physics, as well as the philosophy of science and of mathematics. The topics he chose to study, the lines of thought he initiated, and his general perspective on mathematics have proved remarkably fruitful and have formed the basis for some of the best of modern mathematical research. This volume...

This text is a course in representation theory of semi-simple groups, automorphic forms, and the relations between these two subjects. It is based on the 1996 instructional conference of the International Centre for Mathematical Sciences in Edinburgh. The book begins with an introductory treatment of structure theory and ends with an essay on the current status of functoriality. All papers are intended to provide overviews of the topics they address, and the authors have supplied extensive bibliographies to guide the reader who wants more detail. The aim of the articles is to treat...

Professor Goro Shimura was principal speaker at the conference on Euler Products and Eisenstein Series held at Texas Christian University, USA. This volume contains articles by specialists in the field. Some are based on talks given at the conference, whereas others were written purposely for this volume. The variety of the work presented reflects the current active state of the topic.

'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.

Motives were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, to play the role of the missing rational cohomology, and to provide a blueprint for proving Weil's conjectures about the zeta function of a variety over a finite field. Since 1990 or so, researchers in various areas - Hodge theory, algebraic K -theory, polylogarithms, automorphic forms, L -functions, trigonometric sums, and algebraic cycles - have discovered that an enlarged (and in part conjectural) theory of mixed motives indicates and explains...

In the late 1960s and early 1970s, Phillip Griffiths and his collaborators undertook a study of period mappings and variation of Hodge structure. The motivating problems, which centered on the understanding of algebraic varieties and the algebraic cycles on them, came from algebraic geometry. However, the techiques used were transcendental in nature, drawing heavily on both Lie theory and hermitian differential geometry. Promising approaches were formulated to fundamental questions in the theory of algebraic curves, moduli theory, and the deep interaction between Hodge theory and algebraic...

Proceedings of a research institute held at Pennsylvania State University, July 1991, focusing on quantum and infinite-dimensional methods of algebraic groups. Topics include perverse sheaves, finite Chevalley groups, the general theory of algebraic groups, representations, invariant theory, general

The arithmetic and geometry of moduli spaces and their fundamental groups are a very active research area. This book offers a complete overview of developments made over the 1990s. The papers in this volume examine the geometry of moduli spaces of curves with a function on them.

Offers a selection of articles about fractal geometry. This book describes the contemporary advances in and around fractal geometry. It is suitable for graduate students and researchers interested in fractal geometry and its applications.