AATRN Networks seminar, May 6, at 17:00 CEST by Chris Kapulkin

[Henri Riihimäki]

Dear AATRN Networks members,

Our next online seminar will be tomorrow, Tuesday May 6, at 17:00 CEST
(11.00 EDT).

Speaker: Chris Kapulkin

Title: An invitation to discrete homotopy theory

Abstract: Discrete homotopy theory, introduced around 20 years ago by
Barcelo and collaborators building on the work of Atkin from the
mid-seventies, is a homotopy theory of (simple) graphs. As such, it
applies techniques previously employed in the "continuous" context to
study discrete objects. It has found applications both within and
outside mathematics, including: matroid theory, hyperplane arrangements,
topological data analysis, time series analysis, and quite concretely in
understanding how social interactions between preschoolers impact their
academic performance. Recently, discrete homotopy theory has seen
remarkable progress leading to proofs of several longstanding
conjectures and new applications.

This talk will be an introduction to discrete homotopy theory,
highlighting some of the recent advances, of both theoretical and
computational nature, and applications. These include the resolution of
the conjecture of Babson, Barcelo, de Longueville, and Laubenbacher from
2006 (j/w Carranza, Compos. Math., 2024) and an efficient algorithm for
computing discrete homology groups (j/w Kershaw, arXiv:2410.09939).

We will meet in the following coordinates:

https://stockholmuniversity.zoom.us/j/65622268279?pwd=YUsxeGNEeEFKRDFsaTRzRzh2VVMzQT09
    Meeting ID: 656 2226 8279
    Passcode: 557173

Our seminar 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 organisers
Daniela Egas Santander, Henri Riihimäki, Jason Smith

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