Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 76 for “"sheaves"”.
-
Sheaves and Torsion-Free Modules
Made available in DSpace on 2014-12-14T13:09:37Z (GMT). No. of bitstreams: 1 7804181.pdf: 5134647 bytes, checksum: 4434abb7f8b96420c6ecc8cb10083a16 (MD5) Previous issue date: 1977
-
Character sheaves on symmetric spaces
… 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) of the associated symmetric space over a finite field. A crucial result about the filtration …
-
Character sheaves on symmetric spaces
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1992
-
Topological Deep Learning: Graphs, Complexes, Sheaves
… sheaf theory, a subfield of algebraic topology. Sheaves, which are mathematical data structures that naturally store the data attached to a topological space and its relational structure, faithfully realise the axiomatic principles of Topological Deep Learning. We show that sheaf structures on …
-
An Explicit Construction of Sheaves in Context
… body of theory necessary to explicitly construct sheaves of sets on a site together with the development of supporting material necessary to connect sheaf theory with the wider mathematical contexts in which it is applied. Of particular interest is a novel presentation of the plus construction …
-
Moduli of twisted sheaves and generalized Azumaya algebras
… one to study stacks of (semistable) twisted sheaves. We show that these stacks are very similar to the stacks of semistable sheaves. This gives a way of understanding the structure of the stack of principal PGLn-bundles and its coarse moduli space in terms of fairly well-understood spaces. In …
-
Tilting sheaves for real groups and Koszul duality
… on the category of equivariant-monodromic sheaves and develop the theory of tilting sheaves. In case of a quasi-split real form of an algebraic group acting on the flag variety we construct an analog of a Soergel functor, which fully-faithfully embeds the subcategory of tilting objects to …
-
Derived categories of coherent sheaves on rational homogeneous manifolds
… the bounded derived category of coherent sheaves on $\mathbb{P}^n$. In a series of papers M. M. Kapranov generalized this result to flag manifolds of type $A_n$ and quadrics. In another direction, Y. Kawamata has recently proven existence of complete exceptional sequences on toric …
-
Characteristics cycles of toric varieties : perverse sheaves on rank stratifications
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1995.
-
Invertible sheaves on generic rational surfaces and a conjecture of Hirschowitz's.
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1996.
-
Equivariant coherent sheaves, Soergel bimodules, and categorification of affine Hecke algebras
… module: the first is by equivariant coherent sheaves on the Grothendieck resolution (and related objects), the second is by certain classes on bimodules over polynomial rings, called Soergel bimodules, and the third is by certain categories of constructible sheaves on the affine flag manifold …
-
Coherent sheaves on varieties arising in Springer theory, and category 0
… an example using categories of coherent sheaves on Springer fibers. Here we construct another example, by studying certain sub-quotients of category 0 with a fixed Gelfand-Kirillov dimension. We use the braid group action on the derived category of category 0, and certain leading …
-
Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups
Let G be a connected complex reductive Lie group. We propose a certain bijection between the set of dominant integral weights of G, and the set of pairs consisting of a nilpotent coadjoint orbit and a finite-dimensional irreducible representation of the isotropy group of the orbit. A constructive …
-
OVERCONVERGENT MODULAR AND DE RHAM SHEAVES AND P-ADIC ITERATION OF THE GAUSS-MANIN CONNECTION
… of the Gauss-Manin connection on overconvergent sheaves of de Rham classes on Hilbert modular varieties in the case p is unramified in the totally real field. This is a generalization of the work of Andreatta-Iovita in the case of elliptic curves, using a technique that marks an improvement on …
-
Higher direct images of ideal sheaves, correspondences in log Hodge cohomology and globally F-full varieties
… of the cohomology groups of divisorial ideal sheaves under (a restricted class of) birational morphisms of pairs in arbitrary characteristic, and as an application extends some foundational results in the theory of rational pairs that were previously known only in characteristic 0. Chapter 2 …
-
Dimension-Theory of Sheaves of R'-Modules (R' Is the Structure Sheaf of a Commutative Ring R With 1)
Made available in DSpace on 2014-12-11T18:24:07Z (GMT). No. of bitstreams: 1 7412083.pdf: 2247917 bytes, checksum: e427d09a55ec17bc8b14a4f054481d67 (MD5) Previous issue date: 1973
-
Some results related to the quantum geometric Langlands program
… between the category of spherical perverse sheaves on the affine Grassmannian of a reductive group G and the category of representations of its Langlands dual group. The category of spherical perverse sheaves sits naturally in an equivariant derived category, and this larger category was …
-
Enumerative invariants for local Calabi-Yau threefolds
… characteristics of the moduli spaces of stable sheaves of dimension one on the total space of rank 2 bundle on P1 whose determinant is O(−2). We count the torus fixed stable sheaves of low degrees and show the results verify the predictions in physics and the local Gromov-Witten theory. In the …
-
On Fourier-Mukai type functors
… functors between bounded derived categories of sheaves and how they can be expressed in a geometric way, namely whether they are isomorphic to a Fourier-Mukai transform. Specifically, we describe the behavior of a functor between derived categories of smooth projective varieties when restricted …
-
Connections on conformal blocks
… Hecke functors on the category of quasi-coherent sheaves on Bung. This family of functors, parametrized by the Ran space of X, acts by averaging a quasi-coherent sheaf over infinitesimal modifications of G-bundles at prescribed points of X. We show that sheaves which are, in a certain sense, …
Page 1 of 4