Disputation: Alice Petronella Hedenlund

Doctoral candidate Alice Petronella Hedenlund at the Department of Mathematics, Faculty of Mathematics and Natural Sciences, is  defending the thesis Multiplicative Tate Spectral Sequences for the degree of Philosophiae Doctor.

Picture of the candidate.

Doctoral candidate Alice Petronella Hedenlund

The University of Oslo is closed. The PhD defence and trial lecture will therefore be fully digital and streamed directly using Zoom. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.

Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence. If you would like to ask a question, click 'Raise hand' and wait to be unmuted.

Trial lecture

20th of January, 10:15, Zoom

"The thick subcategory theory of Hopkins-Smith"

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Main research findings

Many important results in mathematics deal with the question of figuring out what objects are ‘the same’. One way of rigorously dealing with this is through the notion of isomorphic objects. However, it is sometimes better to consider a weaker form of ‘sameness’, known as homotopy equivalence, which allow for more flexibility. Although homotopy theory is historically intertwined with fields of mathematics that appeal to our spatial imagination, the concept of a homotopy appears under various guises in other areas as well, and homotopy theoretical generalisations of classical algebra have recently had an upswing in popularity. The papers included in this thesis deal with spectral sequences, which can roughly be understood as computational tools that are able to process large amounts of homotopical information. In particular, this thesis deals with various constructions of the Tate spectral sequence, which is a spectral sequence giving us information on the so-called Tate construction. In my thesis, I construct multiplicative Tate spectral sequences in a larger generality than what was known before. This is motivated by the study of an invariant in homotopical algebra known as topological Hochschild homology, which has been shown to have important connections to arithmetic questions.

Published Jan. 5, 2021 1:18 PM - Last modified Apr. 21, 2021 2:28 PM