Seminars this semester


   Series:

 
Feb 8 Thu Sarah Whitehouse (Sheffield) Topology Seminar
16:00 Homotopy theory of spectral sequences
Hicks Seminar Room J11
  Abstract:
For each r, maps which are quasi-isomorphisms on the r page provide a class of weak equivalences on the category of spectral sequences. The talk will cover homotopy theory associated with this setting. We introduce the category of extended spectral sequences and show that this is bicomplete by analysis of a certain presheaf category modelled on discs. We endow the category of extended spectral sequences with various model category structures. One of these has the property that spectral sequences is a homotopically full subcategory and so, by results of Meier, exhibits the category of spectral sequences as a fibrant object in the Barwick-Kan model structure on relative categories. We also note how the presheaf approach provides some insight into the d├ęcalage functor on spectral sequences. This is joint work with Muriel Livernet.
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Feb 22 Thu Joseph Grant (UEA) Topology Seminar
16:00 Frobenius algebra objects in Temperley-Lieb categories at roots of unity
Hicks Seminar Room J11
  Abstract:
Frobenius algebras appear in many parts of maths and have nice properties. One can define algebra objects in any monoidal category, and there is a standard definition of when such an algebra object is Frobenius. But this definition is not satisfied by something which we'd like to think of as an algebra object in Temperley-Lieb categories at roots of unity. We will explore a more general definition of a Frobenius algebra object which covers this example, and will explore some of its properties. This is joint work with Mathew Pugh.
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Feb 29 Thu Jack Romo (Leeds) Topology Seminar
16:00
Hicks Seminar Room J11
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Mar 7 Thu Nadia Mazza (Lancaster) Topology Seminar
16:00 Endotrivial modules for finite groups of Lie type
Hicks Seminar Room J11
  Abstract:
Let G be a finite group and k a field of positive characteristic p diving the order of G. An endotrivial kG-module is a finitely generated kG-module which is "invertible" in some suitable sense. Since the late 70s, these modules have been intensely studied in modular representation theory. In this talk, we review the essential background on endotrivial modules, and present some results about endotrivial modules for finite groups of Lie type, obtained jointly with Carlson, Grodal and Nakano.
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Mar 21 Thu Andy Baker (Glasgow) Topology Seminar
16:00
Hicks Seminar Room J11
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Apr 18 Thu Briony Eldridge (Southampton) Topology Seminar
16:00
Hicks Seminar Room J11
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Apr 25 Thu Georg Struth (Sheffield) Topology Seminar
16:00
Hicks Seminar Room J11
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May 2 Thu Ehud Meir (Aberdeen) Topology Seminar
16:00
Hicks Seminar Room J11
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May 23 Thu Oliver House (Sheffield) Topology Seminar
16:00
Hicks Seminar Room J11
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