Topology Seminar talks at Southampton

The talks are all happening at University of Southampton (in person), on Highfield Campus (SO17 1BJ). For the building and the room, see the individual postings. Email the organiser ( d (dot) kasprowski (at) soton.ac.uk ) if you have questions.

More Pure Maths talks at Southampton: we run Pure Maths Colloquia, Pure Lunchtime Seminar, and Pure Postgraduate Seminar (link soon).

Upcoming talks

Recent talks

• Mon 12 May 2025 14:00: Robin Stoll (Cambridge): A rational model for the fiberwise THH-transfer
  unroll abstract

  I will report on work in progress joint with Florian Naef and Nils Prigge in which we produce, for a map f of spaces over a space B such that f has compact fibers, a rational model for the fiberwise transfer of fiberwise topological Hochschild homology, considered as a map of parametrized spectra over B. It is constructed in terms of a C_\infty-model for the map f. This is motivated by an application to the rational cohomology of moduli spaces of high-dimensional manifolds, and in particular the vanishing of certain classes defined via a graph complex, which I will also sketch.

• Mon 24 Mar 2025 14:00: Lukas Brantner (Oxford): Formal integration of derived foliations
  unroll abstract

  Frobenius' theorem in differential geometry asserts that every involutive subbundle E ⊂ TM of the tangent bundle of a manifold M integrates to a decomposition of M into smooth leaves. We prove an infinitesimal analogue for suitably nice schemes X. More precisely, we show that every partition Lie algebroid g → T_X integrates uniquely to a formal moduli stack X → S under S, where S is the formal leaf space and the fibres of X → S are the formal leaves. This talk is based on joint work with Magidson-Nuiten, and ties into work of Jiaqi Fu.

• Mon 17 Mar 2025 14:00: Sebastian Chenery (Bristol): Gyration Stability for Projective Planes
  unroll abstract

  Gyrations are operations on manifolds that first arose in geometric topology. A given manifold M may exhibit different gyrations depending on the chosen twisting, prompting the following natural question: do all gyrations of M share the same homotopy type regardless of which twisting we choose? Inspired by recent work of Duan, which demonstrated that the quaternionic projective plane is not gyration stable (but with respect to diffeomorphism) in this talk we will explore our question for projective planes in general, resulting in a complete description of gyration stability for the complex, quaternionic, and octonionic projective planes up to homotopy. Moreover, we will also see that these results connect to several seemingly distinct contexts. This is joint work with Stephen Theriault.

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