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| Feb 13 |
Thu |
Igor Sikora (Krakow University of Economics) |
Topology Seminar |
| 16:00 |
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Hicks LT11 |
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| Feb 20 |
Thu |
Clover May (NTNU) |
Topology Seminar |
| 16:00 |
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Hicks Seminar Room J11 |
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| Mar 6 |
Thu |
Neil Strickland (Sheffield) |
Topology Seminar |
| 16:00 |
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THH of truncated Brown-Peterson spectra and related invariants
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Hicks Seminar Room J11 |
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| Mar 13 |
Thu |
Daniel Luckhardt (Sheffield) |
Topology Seminar |
| 16:00 |
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The Giry monad revisited
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Hicks Seminar Room J11 |
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Abstract:
For over 40 years the Giry monad has been an object of intense investigations plagued by difficulties. Typically---as already done by Giry—the monad is restricted to specific classes of topological spaces to achieve tractability. In this talk we will return to a $\sigma$-algebra as the only structure and carefully analyse, how the monad can be restricted, while still covering all cases relevant for real-world application. Again---as for Giry---limit preservation properties will serve as a touchstone. Unlike Giry we obtain also result on weak pullback preservation. Moreover the journey will lead us ward the boundaries of ZCF and beyond.
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| Mar 20 |
Thu |
Andrew Fisher (Sheffield) |
Topology Seminar |
| 16:00 |
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(Co)homology of Temperley-Lieb Algebras and Blob Algebras
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Hicks Seminar Room J11 |
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Abstract:
A family of diagram algebras called the Temperley-Lieb algebras has been an important topic of study for several decades in areas such as knot theory, statistical mechanics and representation theory. In recent years, Boyd and Hepworth pioneered the study of such families of algebras using homological algebra, one important result being that the Temperley-Lieb algebras satisfy homological stability. In this talk, I'll give an overview of the study of the (co)homology of these algebras, and I will discuss joint work in progress with Guy Boyde and Daniel Graves on the (co)homology of a related family called the blob algebras.
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| Mar 27 |
Thu |
Daniel Luckhardt (Sheffield) |
Topology Seminar |
| 16:00 |
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Hicks Seminar Room J11 |
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| Mar 27 |
Thu |
Daniel Luckhardt (Sheffield) |
Topology Seminar |
| 16:00 |
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Hicks Seminar Room J11 |
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| Apr 3 |
Thu |
Robert Rogers (Sheffield) |
Topology Seminar |
| 16:00 |
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On the Grothendieck Witt ring of symmetric bilinear forms
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Hicks Seminar Room J11 |
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Abstract:
Abstract: In 1937 Ernst Witt began the modern theory of algebraic quadratic forms by introducing a ring structure on the set of equivalence classes of anisotropic quadratic forms over an arbitrary field. Later, Knebusch introduced the Witt ring over arbitrary commutative rings. There is another construction, called the Grothendieck-Witt ring, GW(R), which is given by taking the Grothendieck group of the monoid of non-degenerate symmetric bilinear forms over a commutative ring, and the Witt ring may be expressed as a quotient of this. Over arbitrary fields the presentation of GW(R) as the zero-th Milnor-Witt K-group, an object coming from A1 homotopy theory, is classically known. One can ask if this isomorphism holds more generally, in particular local rings. In 2019 S. Gille achieved this for local rings with residue characteristic not 2 with at least 5 elements in the residue field. In this talk I will discuss joint work with M. Schlichting in the case of any local ring with more than two elements in the residue field.
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| May 1 |
Thu |
Michael Ching (Amherst) |
Topology Seminar |
| 16:00 |
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Hicks Seminar Room J11 |
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| May 22 |
Thu |
Gregorie Marc (Radbound) |
Topology Seminar |
| 16:00 |
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Hicks Seminar Room J11 |
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