Essays about: "Spectral sequences"
Showing result 1 - 5 of 9 essays containing the words Spectral sequences.
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1. Relative Hochschild (co)homology
University essay from Uppsala universitet/Algebra, logik och representationsteoriAbstract : We study relative homological algebra and relative Hochschild cohomology. We dualise the construction in [Cib+21b] for a ring extension B ⊆ A to construct a long nearly exact sequence for the relative Hochschild cohomology HH∗(A|B), the Hochschild cohomology HH∗(A) and the Hochschild cohomology HH∗(B,A). READ MORE
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2. Spectral sequences for composite functors
University essay from KTH/Matematik (Avd.)Abstract : Spectral sequences were developed during the mid-twentieth century as a way of computing (co)homology, and have wide uses in both algebraic topology and algebraic geometry. Grothendieck introduced in his Tôhoku paper the Grothendieck spectral sequence, which given left exact functors $F$ and $G$ between abelian categories, uses the right-derived functors of $F$ and $G$ as initial data and converges to the right-derived functors of the composition $G\circ F. READ MORE
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3. A graph representation of event intervals for efficient clustering and classification
University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)Abstract : Sequences of event intervals occur in several application domains, while their inherent complexity hinders scalable solutions to tasks such as clustering and classification. In this thesis, we propose a novel spectral embedding representation of event interval sequences that relies on bipartite graphs. READ MORE
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4. Airborne Radar Ground Clutter Suppression Using Multitaper Spectrum Estimation : Comparison with Traditional Method
University essay from Luleå tekniska universitet/Institutionen för system- och rymdteknikAbstract : During processing of data received by an airborne radar one of the issues is that the typical signal echo from the ground produces a large perturbation. Due to this perturbation it can be difficult to detect targets with low velocity or a low signal-to-noise ratio. READ MORE
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5. Themod p Cohomology of the ProjectiveUnitary Group
University essay from KTH/Matematik (Avd.)Abstract : We begin with an introduction to spectral sequences, in particular, we present how a spectral sequence can arise from an exact couple, state and construct the Serre spectral sequence, mention some of the properties of the mod p cohomology and state the dual Eilenberg-Moore spectral sequence. Fiber bundles, together with the concept of pullback bundles, principal bundles, classifying spaces and Chern classes are also discussed to lay a foundation for our results. READ MORE
