Seminar series
Date
Mon, 09 Nov 2026
15:30
15:30
Location
L5
Speaker
Sarah Whitehouse
Organisation
University of Sheffield
In discrete homotopy theory, combinatorial objects such as graphs are studied via homotopy-theoretic tools, allowing the detection of ''holes'' and connectivity patterns in discrete networks. Many interesting invariants, including path homology and magnitude homology, are captured by the pages of the magnitude-path spectral sequence, or MPSS. A hierarchy of notions of homotopy is associated with the successive pages of this spectral sequence. I will talk about joint work with Muriel Livernet and Emily Roff, in which we establish an abstract homotopy-theoretic
context related to this set-up.