Mind
Author:
Publisher:
Published: 1918
Total Pages: 526
ISBN-13:
DOWNLOAD EBOOK →A journal of philosophy covering epistemology, metaphysics, philosophy of language, philosophy of logic, and philosophy of mind.
Author:
Publisher:
Published: 1918
Total Pages: 526
ISBN-13:
DOWNLOAD EBOOK →A journal of philosophy covering epistemology, metaphysics, philosophy of language, philosophy of logic, and philosophy of mind.
Author: Cambridge Philosophical Society
Publisher:
Published: 1904
Total Pages: 466
ISBN-13:
DOWNLOAD EBOOK →Author: Nicholas M. Katz
Publisher: Princeton University Press
Published: 2005-10-02
Total Pages: 492
ISBN-13: 9780691123301
DOWNLOAD EBOOK →It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably "pure" algebro-geometric families of character sums over finite fields (and of their associated L-functions). Roughly speaking, Deligne showed that any such family obeys a "generalized Sato-Tate law," and that figuring out which generalized Sato-Tate law applies to a given family amounts essentially to computing a certain complex semisimple (not necessarily connected) algebraic group, the "geometric monodromy group" attached to that family. Up to now, nearly all techniques for determining geometric monodromy groups have relied, at least in part, on local information. In Moments, Monodromy, and Perversity, Nicholas Katz develops new techniques, which are resolutely global in nature. They are based on two vital ingredients, neither of which existed at the time of Deligne's original work on the subject. The first is the theory of perverse sheaves, pioneered by Goresky and MacPherson in the topological setting and then brilliantly transposed to algebraic geometry by Beilinson, Bernstein, Deligne, and Gabber. The second is Larsen's Alternative, which very nearly characterizes classical groups by their fourth moments. These new techniques, which are of great interest in their own right, are first developed and then used to calculate the geometric monodromy groups attached to some quite specific universal families of (L-functions attached to) character sums over finite fields.
Author: Michael Khachay
Publisher: Springer
Published: 2019-06-12
Total Pages: 716
ISBN-13: 3030226298
DOWNLOAD EBOOK →This book constitutes the proceedings of the 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019. The 48 full papers presented in this volume were carefully reviewed and selected from 170 submissions. MOTOR 2019 is a successor of the well-known International and All-Russian conference series, which were organized in Ural, Siberia, and the Far East for a long time. The selected papers are organized in the following topical sections: mathematical programming; bi-level optimization; integer programming; combinatorial optimization; optimal control and approximation; data mining and computational geometry; games and mathematical economics.