Pure Lunchtime 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 ( a (dot) guidolin (at) soton.ac.uk ) if you have questions.

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

Upcoming talks

Recent talks

• Mon 12 May 2025 12:00: Francesco Fournier-Facio (Cambridge): Finitely generated simple groups with cohomological control
  unroll abstract

  A central topic in group theory is the study of finitely generated simple groups. While the finite ones are classified, we are far from a general understanding of the finitely generated infinite ones, therefore this study largely consists of understanding which kinds of properties finitely generated simple groups can have, by building examples. I will present a new construction of finitely generated simple groups with strong cohomological control, and in particular with full control on the dimensions of subgroups. This is joint work with Bin Sun.

• Mon 28 Apr 2025 12:00: Tristan Madeleine: Data has shape, shape matters: an introduction to Topological Data Analysis and its application
  unroll abstract

  Topological Data Analysis stemmed from the idea that data has shape and that this shape is meaningful. It covers a wide range of topological and geometrical tools designed to understand and quantify this shape.
  In the age of big data, which saw an explosion in the size and complexity of data, this is particularly interesting as it offers unique approaches to extract relevant information, where more standard analysis may fail.
  In this talk, we will review the fundamentals of Topological Data Analysis and explore the scope of its potential using examples of its usage in medicine, nanoscience and up to the cosmological scale.

• Mon 24 Mar 2025 12:00: Salv Elia: Path homology of polyhedral products of digraphs
  unroll abstract

  Polyhedral products are topological spaces constructed by gluing topological pairs of spaces in a way determined by a simplicial complex. Bahri, Bendersky, Cohen, and Gitler introduced a stable homotopy splitting of the polyhedral product.

  In this talk, I will begin by providing a brief summary of diagraphs as directed graphs, including certain operations on them and their associated path homology. I will then introduce the concept of polyhedral products of digraphs and demonstrate that their path homology admits a splitting analogous to the BBCG splitting. To achieve this, I'll define a notion of pointed chain complexes and study polyhedral products of these.

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