A survival guide to get you prepared for a disaster while saving money. We all know that emergencies, disasters and unexpected events are headed our way. We just do not know when the unforeseen will happen. You might know that you want to prepare for unanticipated or surprising situations, but you cannot buy equipment or pay for the knowledge that you know you need. At times we find ourselves in a situation that doesn't allow us to spend money. This book will help you to learn about what it takes to be prepared for the next coming disaster in the cheapest way possible. You can learn how to get an education, put food in your pantry, store water, have good health and save a little money along the way. Modern techniques and time-honored methods fill the pages of this book. Each page guides you through the best and easiest ways to NOT spend money to get what you need for the least out-of-pocket cost. Good luck as you put into practice these methods to a prepared future with a little cash in your pocket!
Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate students and researchers.
Although Mumford-Tate groups can be defined for general structures, their theory and use to date has mainly been in the classical case of abelian varieties. While the book does examine this area, it focuses on the nonclassical case. The general theory turns out to be very rich, such as in the unexpected connections of finite dimensional and infinite dimensional representation theory of real, semisimple Lie groups. The authors give the complete classification of Hodge representations, a topic that should become a standard in the finite-dimensional representation theory of noncompact, real, semisimple Lie groups. They also indicate that in the future, a connection seems ready to be made between Lie groups that admit discrete series representations and the study of automorphic cohomology on quotients of Mumford-Tate domains by arithmetic groups. Bringing together complex geometry, representation theory, and arithmetic, this book opens up a fresh perspective on an important subject.
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