AATRN Networks Seminar, July 7 at 5pm CEST by Antonio Rieser

[Henri Riihimäki]

Dear AATRN Networks Seminar members,

Our next online seminar will be on Tuesday, July 7, at 17:00 CEST / 11:00 ET.

Speaker: Antonio Rieser

Title: A Pseudotopological Approach to Discrete Homotopy Theory and Topological Data Analysis

Abstract: Pseudotopologies are a generalization of topologies which allow one to capture the idea of a "neighborhood" of a point, even when the intersection of two neighborhoods may not be a neighborhood of the points it contains. Such a situation is typical in graphs, where we would like to define the neighborhood of a vertex to be the vertices in its star, and it is easy to construct graphs where the intersection of the stars of two vertices is not the star of any vertex. Pseudotopological spaces give a way of managing such pathologies, and we show that a rich algebraic topology may be constructed in this category. We outline the construction of homotopy, homology, persistence, and sheaf theory in pseudotopological spaces, and show how these may be applied to both discrete homotopy theory and topological data analysis.

We will meet in the following coordinates:

https://stockholmuniversity.zoom.us/j/65622268279?pwd=YUsxeGNEeEFKRDFsaTRzRzh2VVMzQT09

Meeting ID: 656 2226 8279

Passcode: 557173

Our seminar usually occurs on the first Tuesday of every month, and you can follow our future planned list of speakers on our website sites.google.com/view/aatrn-networks-seminar.

You may also be interested in adding AATRN’s Google calendar (link), which contains other seminar information.

Best,

The AATRN Networks Seminar organisers

Daniela Egas Santander, Henri Riihimäki, Jason Smith

https://www.youtube.com/@aatrn1

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