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Browsing Department of Mathematics by Title
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(Massachusetts Institute of Technology, 2001)This thesis will be concerned with the geometry of minimal submanifolds in certain Riemannian manifolds which possess some special geometric structure. Those Riemannian manifolds will fall into one of the following categories: ...
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(Massachusetts Institute of Technology, 1980)
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(Massachusetts Institute of Technology, 1975)
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(Massachusetts Institute of Technology, 2004)The Greene-Kleitman theorem says that the lengths of chains and antichains in any poset are intimately related via an integer partition, but very little is known about the partition [lambda](P) for most posets P. Our first ...
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(Massachusetts Institute of Technology, 1995)
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(Massachusetts Institute of Technology, 2001)Inspired by the work of Lusztig, we apply the theory of character sheaves on a symmetric space (h la Ginzburg and Grojnowski) to the problem of determining the spherical functions (averages of the irreducible characters) ...
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(Massachusetts Institute of Technology, 1998)
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(Massachusetts Institute of Technology, 1970)
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(Massachusetts Institute of Technology, 2010)This thesis concerns combinatorial and enumerative aspects of different classes of posets and polytopes. The first part concerns the finite Eulerian posets which are binomial, Sheffer or triangular. These important classes ...
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(Massachusetts Institute of Technology, 2012)Let g be a complex, reductive Lie algebra. We prove a theorem parametrizing the set of nilpotent orbits in g in terms of even nilpotent orbits of subalgebras of g and show how to determine these subalgebras and how to ...
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(Massachusetts Institute of Technology, 1953)
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(Massachusetts Institute of Technology, 1993)
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(Massachusetts Institute of Technology, 1965)
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(Massachusetts Institute of Technology, 1994)
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(Massachusetts Institute of Technology, 2011)The Colemani integral is a p-adice line integral that can be used to encapsulate several quantities relevant, to a study of the arithmetic of varieties. In this thesis, I describe algorithms for computing Coleman integrals ...
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(Massachusetts Institute of Technology, 1980)
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(Massachusetts Institute of Technology, 1995)
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(Massachusetts Institute of Technology, 1996)
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(Massachusetts Institute of Technology, 2005)In this thesis I study combinatorial aspects of an emerging field known as total positivity. The classical theory of total positivity concerns matrices in which all minors are nonnegative. While this theory was pioneered ...
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(Massachusetts Institute of Technology, 1985)
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