Warwick Algebraic Topology Seminar 25/26
A list of the seminar talks of the previous years can be found here.
Term 1
The talks will take place on Tuesday at 4pm in B3.03.
| Date | Speaker | Affiliation |
Title |
Notes |
|---|---|---|---|---|
| Oct 7 | Matt Booth | Imperial College London | How to invert well-pointed endofunctors | |
| Oct 14 | Baylee Schutte | University of Aberdeen | Complex line fields on almost-complex manifolds | |
| Oct 21 | Tom Peirce | University of Warwick | ||
| Oct 28 | Jesse Pajwani | University of Bristol | ||
| Nov 4 | ||||
| Nov 11 | ||||
| Nov 18 | ||||
| Nov 25 | Inbar Klang | VU Amsterdam | ||
| Dec 2 | Markus Land | LMU Munich | ||
| Dec 9 | Lukas Brantner | University of Oxford |
Matt Booth, 7 October
Title: How to invert well-pointed endofunctors.
Abstract: In 1980, Max Kelly showed that many transfinite constructions of free objects can be reduced to the special case of free algebras for well-pointed endofunctors. This yields - in a fairly simple way - a recipe to construct certain kinds of (enriched) localisations. I'll talk about how this works, before observing that this generalises constructions of Keller, Seidel, and Chen--Wang in representation theory and symplectic geometry. I'll relate this (in a rather naive way!) to a very general construction of spectra, which are, similarly, a way to invert endofunctors. If there's time or appetite, I can also say a few things about cospectra.
Baylee Schutte, 14 October
Title: Complex line fields on almost-complex manifolds.
Abstract: The content of this talk is joint work with Nikola Sadovek [arxiv:2411.14161Link opens in a new window]. We study linearly independent complex line fields on almost-complex manifolds, which is a topic of long-standing interest in differential topology and complex geometry. A necessary condition for the existence of such fields is the vanishing of appropriate virtual Chern classes. This condition is also sufficient for the existence of one, two, or three linearly independent complex line fields over certain manifolds. Finally, we apply our results to obtain a refinement of the Schwarzenberger condition that dictates which cohomology classes can be the Chern classes of a complex vector bundle (with prescribed line bundle splitting properties) over complex projective space.