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 92 for “"Motivic"”.
-
MOTIVIC HOCHSCHILD HOMOLOGY
… k, and let SH(S) be Morel and Voevodski's stable motivic homotopy category over S. Let R be a motivic ring spectrum in SH(S); we define the motivic Hochschild homology of R via the derived tensor product: MHH(R)=R ∧_{R ∧ R^{op}} R. This spectrum can be considered the motivic analogue of …
-
Motivic integration over nilpotent structures
<p>This thesis concerns developing the notion of Motivic Integration in such a way that it captures infinitesimal information yet reduces to the classical notion of motivic integration for reduced schemes. Moreover, I extend the notion of Motivic Integration from a discrete valuation ring to any …
-
Motivic Polylogarithms for the Goodwillie -Lichtenbaum Complex
We also construct a homomorphism from H1M (Spec C,Z (n)) to R using differential forms and prove that it generalizes D. We expect it agree with the Borel regulator map up to a constant multiplication.
-
Norms and transfers in motivic homotopy theory
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01
-
Motivic complexes and the K-theory of automorphisms
It has long been suspected that the conjectural motivic cohomology groups of a smooth variety X are related to the algebraic K-groups of X. Explicitly, it is expected that there is a spectral sequence whose terms are the motivic cohomology groups of X which converges to the algebraic K-groups of X. …
-
Motivic symmetric ring spectrum representing algebraic K-theory
Voevodsky showed that there is a motivic spectrum representing algebraic K-theory. We describe an equivalent spectrum that is also a symmetric ring spectrum. A coherence problem occurs when one verifies the symmetry. It is explained and solved by introducing a category of vector bundles with …
-
On Hochschild type constructions in motivic homotopy theory
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2027-08-01
-
A motivic norm structure on equivariant algebraic K-theory
Equivariant motivic homotopy theory is a homotopy theory of schemes with algebraic group actions. This thesis is mainly divided into two parts. In the first part, we define four model categories of motivic spectra that present the $\infty$-category $\SH^G(S)$. We use the model categorical setup to …
-
RELATIVE A1-CONTRACTIBILITY OF SMOOTH SCHEMES AND EXOTIC MOTIVIC SPHERES
… una proprietà che rende gli spazi motivici omotopicamente equivalenti a un campo Spec k nella teoria dell'omotopia motivica. Recenti studi dimostrano che questa caratterizzazione vale in dimensioni n<3 su determinati campi. Nel nostro lavoro, estendiamo questa osservazione a schemi …
-
On motivic Donaldson-Thomas invariants on the local projective plane
Motivic Donaldson-Thomas (DT) invariant is a categorification of the classical DT invariant which contains more information of the local structure of a moduli space. In this thesis, we give three (partial) studies on the motivic DT invariants for various moduli spaces associated to the local …
-
Vocabulary, Voice Leading, and Motivic Coherence in Chet Baker's Jazz Improvisations
… in the fulfillment of expectations, and motivically cohesive on multiple levels of structure.
-
Motivic development in the piano music of Karl Weigl (1881-1949).
In discussing the music of Karl Weigl (1881-1949), it is essential to estimate the state of research regarding the composer and his professional life. Although a copious account and collection of Weigl's papers exists at Yale University, much contribution in the form of editions, recordings, and …
-
WEIGHT STRUCTURES AND MOTIVIC COMPARISONS OF P-ADIC COHOMOLOGY THEORIES FOR RIGID ANALYTIC SPACES
… theories for smooth rigid analytic spaces in the motivic context. The work consists of two independent components. The first part concerns about weight structures, a powerful tool for studying motives introduced by Bondarko. More precisely, we construct a bounded monoidal weight structure on …
-
Motivic, rhythmic, and harmonic procedures of unification in Stephen Sondheim's Company and A little night music
The purpose of the study was to examine the musical methods used by Stephen Sondheim to create a sense of internal unity in scores that, because of the nature of musical theater, required diverse styles of composition and often involved extended periods of time between the occurrence of musical …
-
Octatonic Pitch Structure and Motivic Organization in George Walker's Canvas for Wind Ensemble, Voices, and Chorus
… of octatonic harmonies, Walker "paints" specific motivic gestures. These motivic gesture monopolize specific intervallic relationships that are initially presented in the beginning of the work. Certain motivic techniques are then employed in the ongoing development of the motivic content. These …
-
Sergei Rachmaninoff’s Piano Concerto No.4, Op.40 – A Historical Survey and Motivic Analysis of the Third Movement
… is taken up in chapter two, which focuses on its motivic density and rhythmic complexity. Looking specifically at the finale, which is perhaps the least accessible of the three movements, through a motivic analysis, I demonstrate that the movement is highly cohesive, with all motivic content …
-
The Lutheran hymn "Ein' Feste Burg" in Claude Debussy's Cello Sonata (1915): motivic variation and structure
… the sonata, as the symbolic significance of a motivic variational process based on the hymn and hidden quotes of the French anthem “La Marseillaise” in the third movement of the Sonata will place this piece into the context of World War I and in accord with the nationalist attitudes of the …
-
An Analytical Study of the Variations on the Theme of Paganini's Twenty-Fourth Caprice, Op. 1 by Busoni, Friedman, and Muczynski
… and key, rhythm and meter, tempo and dynamics, motivic development, grouping of variations, and technical problems. Chapter 6 summarizes the findings from this study and attempts to compare those elements among the three variations. Special attention is given to the application of the motivic …
-
Symphony No. 2
… My multi-tonic mode has further set grounds for motivic variation, as well as harmonic structure. Motivic development: My dissertation utilizes a uni????ed motivic development throughout the entirety of the symphony. This includes secondary motives and “new” ideas all of which have been derived …
Page 1 of 5