Sweet Blue Flowers, Vol. 1, Shimura, Takako

Автор: Hida, Haruzo
Название: P-adic automorphic forms on shimura varieties
ISBN: 1441919236 ISBN-13(EAN): 9781441919236
Издательство: Springer
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Описание: In the early years of the 1980s, while I was visiting the Institute for Ad- vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a canon- ical p-adic counterpart of several variables. I immediately decided to find out the reason behind this phenomenon and to develop the theory of ordinary p-adic automorphic forms, allocating 10 to 15 years from that point, putting off the intended arithmetic study of Shimura varieties via L-functions and Eisenstein series (for which I visited lAS). Although it took more than 15 years, we now know (at least conjecturally) the exact number of variables for a given G, and it has been shown that this is a universal phenomenon valid for holomorphic automorphic forms on Shimura varieties and also for more general (nonholomorphic) cohomological automorphic forms on automorphic manifolds (in a markedly different way). When I was asked to give a series of lectures in the Automorphic Semester in the year 2000 at the Emile Borel Center (Centre Emile Borel) at the Poincare Institute in Paris, I chose to give an exposition of the theory of p-adic (ordinary) families of such automorphic forms p-adic analytically de- pending on their weights, and this book is the outgrowth of the lectures given there.

Автор: Joseph Abraham, Hamaguchi Takako
Название: Timor-Leste: The History and Development of Asia S Newest Nation
ISBN: 0739195271 ISBN-13(EAN): 9780739195277
Издательство: Неизвестно
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Описание: Timor-Leste: The History and Development of Asia s Newest Nation is a study of how a small Asia-Pacific nation has emerged from protracted conflict and successfully navigated a path to durable peace and sustainable development. Despite early setbacks, Timor-Leste has made an amazing turnaround and today finds itself in a new era in which it will certainly continue its advance toward the goal of long-term stability and prosperity, leaving permanently behind the past that was once marked by a descending spiral of destruction. Yet, a number of development challenges lie ahead for Timor-Leste, particularly in strengthening human, institutional, and infrastructural capacities in the short to medium term, and in transforming the national economy from oil-based to more diversified and better balanced in the longer run. Other countries may draw valuable lessons from Timor-Leste s experience, especially those that are emerging from as well as are currently affected by conflict and instability. Such lessons would center on the questions such as management of natural resources, empowerment of the vulnerable, implementation of transparent and accountable governance, advancement of women, and mobilization of civil society and the public in general for democratization and the national development process."