Now showing items 8-27 of 64

    • Categorical Actions on Supercategory O 

      Davidson, Nicholas (University of Oregon, 2016-11-21)
      This dissertation uses techniques from the theory of categorical actions of Kac-Moody algebras to study the analog of the BGG category O for the queer Lie superalgebra. Chen recently reduced many questions about this ...
    • Chern Character for Global Matrix Factorizations 

      Platt, David (University of Oregon, 2013-10-03)
      We give a formula for the Chern character on the DG category of global matrix factorizations on a smooth scheme $X$ with superpotential $w\in \Gamma(\O_X)$. Our formula takes values in a Cech model for Hochschild homology. ...
    • Cohomology of the Orlik-Solomon algebras 

      Pearson, Kelly Jeanne, 1970- (2000)
      The Orlik-Solomon algebra of a hyperplane arrangement first appeared from the Brieskorn and Orlik-Solomon theorems as the cohomology of the complement of this arrangement (if the ground field is complex). Later, it was ...
    • Compact Group Actions on C*-algebras: Classification, Non-Classifiability and Crossed Products and Rigidity Results for Lp-operator Algebras 

      Gardella, Eusebio (University of Oregon, 2015-08-18)
      This dissertation is concerned with representations of locally compact groups on different classes of Banach spaces. The first part of this work considers representations of compact groups by automorphisms of C*-algebras, ...
    • Constructing a v2 Self Map at p=3 

      Reid, Benjamin (University of Oregon, 2017-09-06)
      Working at the prime p = 3, we construct a stably finite spectrum, Z, with a v_2^1 self map f. Further, both Ext_A(H*(Z),Z_3) and Ext_A(H*(Z),H*(Z)) have a vanishing line of slope 1/16 in (t-s,s) coordinates, and the map ...
    • Crossed product C*-algebras by finite group actions with a generalized tracial Rokhlin property 

      Archey, Dawn Elizabeth, 1979- (University of Oregon, 2008-06)
      This dissertation consists of two related parts. In the first portion we use the tracial Rokhlin property for actions of a finite group G on stably finite simple unital C *-algebras containing enough projections. The ...
    • Crossed product C*-algebras of certain non-simple C*-algebras and the tracial quasi-Rokhlin property 

      Buck, Julian Michael, 1982- (University of Oregon, 2010-06)
      This dissertation consists of four principal parts. In the first, we introduce the tracial quasi-Rokhlin property for an automorphism α of a C *-algebra A (which is not assumed to be simple or to contain any projections). ...
    • Crossed product C*-algebras of minimal dynamical systems on the product of the Cantor set and the torus 

      Sun, Wei, 1979- (University of Oregon, 2010-06)
      This dissertation is a study of the relationship between minimal dynamical systems on the product of the Cantor set ( X ) and torus ([Special characters omitted]) and their corresponding crossed product C *-algebras. For ...
    • The crossed product of C(X) by a free minimal action of R 

      Liang, Hutian (University of Oregon, 2010-06)
      In this dissertation, we will study the crossed product C*-algebras obtained from free and minimal [Special characters omitted.] actions on compact metric spaces with finite covering dimension. We first define stable ...
    • Dancing in the Stars: Topology of Non-k-equal Configuration Spaces of Graphs 

      Chettih, Safia (University of Oregon, 2016-11-21)
      We prove that the non-k-equal configuration space of a graph has a discretized model, analogous to the discretized model for configurations on graphs. We apply discrete Morse theory to the latter to give an explicit ...
    • Equivariant Derived Categories Associated to a Sum of Potentials 

      Lim, Bronson (University of Oregon, 2017-09-06)
      We construct a semi-orthogonal decomposition for the equivariant derived category of a hypersurface associated to the sum of two potentials. More specifically, if $f,g$ are two homogeneous poynomials of degree $d$ defining ...
    • Faithful tropicalization of hypertoric varieties 

      Kutler, Max (University of Oregon, 2017-09-06)
      The hypertoric variety M_A defined by an arrangement A of affine hyperplanes admits a natural tropicalization, induced by its embedding in a Lawrence toric variety. In this thesis, we explicitly describe the polyhedral ...
    • Finite W-algebras of classical type 

      Brown, Jonathan, 1975- (University of Oregon, 2009-06)
      In this work we prove that the finite W -algebras associated to nilpotent elements in the symplectic or orthogonal Lie algebras whose Jordan blocks are all the same size are quotients of twisted Yangians. We use this to ...
    • Frames Generated by Actions of Locally Compact Groups 

      Iverson, Joseph (University of Oregon, 2016-10-27)
      Let $G$ be a second countable, locally compact group which is either compact or abelian, and let $\rho$ be a unitary representation of $G$ on a separable Hilbert space $\mathcal{H}_\rho$. We examine frames of the form $\{ ...
    • Generalized Near-Group Categories 

      Thornton, Josiah (University of Oregon, 2012)
      We give an exposition of near-group categories and generalized near-group categories. We show that both have a pseudounitary structure. We complete the classification of braided near-group categories and discuss the inherent ...
    • Generalized self-intersection local time for a superprocess over a stochastic flow 

      Heuser, Aaron, 1978- (University of Oregon, 2010-06)
      This dissertation examines the existence of the self-intersection local time for a superprocess over a stochastic flow in dimensions d ≤ 3, which through constructive methods, gives a Tanaka like representation. The ...
    • Geometry and Combinatorics Pertaining to the Homology of Spaces of Knots 

      Pelatt, Kristine (University of Oregon, 2012)
      We produce explicit geometric representatives of non-trivial homology classes in Emb(S1,Rd), the space of knots, when d is even. We generalize results of Cattaneo, Cotta-Ramusino and Longoni to define cycles which live ...
    • GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O 

      Hilburn, Justin (University of Oregon, 2016-10-27)
      In this thesis I show that indecomposable projective and tilting modules in hypertoric category O are obtained by applying a variant of the geometric Jacquet functor of Emerton, Nadler, and Vilonen to certain Gel'fand-Ka ...
    • Gluing Bridgeland's stability conditions and Z2-equivariant sheaves on curves 

      Collins, John, 1981- (University of Oregon, 2009-06)
      We define and study a gluing procedure for Bridgeland stability conditions in the situation where a triangulated category has a semiorthogonal decomposition. As one application, we construct an open, contractible subset U ...
    • Gluing manifolds with boundary and bordisms of positive scalar curvature metrics 

      Kazaras, Demetre (University of Oregon, 2017-09-06)
      This thesis presents two main results on analytic and topological aspects of scalar curvature. The first is a gluing theorem for scalar-flat manifolds with vanishing mean curvature on the boundary. Our methods involve tools ...