Books written by Matt Kerr
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Hodge Theory, Complex Geometry, and Representation Theory
The existence of the H and N + above, given N, is the Jacobson-Morosov theorem. For l ≧ 0, the primitive space is defined by Grl(W(N))prim = kerN l+1 :Grl(W(N)) → Gr−l−2(W(N)). It picks out the sl2-submodule whose highest weight is ...
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Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)
Step two: By the Jacobson-Morosov theorem, N G m may be completed to an slo C m. Schmid selects the slo over R in the following manner. Lifting N(2) to JN(T) = exp(TN) : po and setting T = u + iv, v > 0, 102 CHAPTER IV.
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Recent Advances in Hodge Theory: Period Domains, Algebraic Cycles, and Arithmetic
Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers.
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Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)
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.
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Special Values of Automorphic Cohomology Classes
... classification of the associated Mumford-Tate domains D. Although these domains and their quotients X = Γ\D by arithmetic groups arose as target spaces for period mappings P : S → X where S is a quasi-projective algebraic variety, ...
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Recent Advances in Hodge Theory: Period Domains, Algebraic Cycles, and Arithmetic
Organized around the basic concepts of variations of Hodge structure and period maps, this volume draws together new developments in deformation theory, mirror symmetry, Galois representations, iterated integrals, algebraic cycles and the ...
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Security Automation Essentials: Streamlined Enterprise Security Management & Monitoring with SCAP
Master the latest digital security automation technologies Achieve a unified view of security across your IT infrastructure using the cutting-edge techniques contained in this authoritative volume.