AATRN Networks seminar, Tuesday, November 5, at 5pm CEST by Emily Roff

[Daniela Egas Santander]

Dear AATRN Networks members,

Our next online seminar will be Tuesday, November 5, at 5pm CEST / 11am Eastern Time.

Speaker: Emily Roff

Title: Homotopy by degrees, and the magnitude-path spectral sequence

Abstract: The past decade has seen a proliferation of homology theories for graphs. In particular, large literatures have grown up around magnitude homology (due to Hepworth and Willerton) and path homology (Grigor’yan, Lin, Muranov and Yau). Though their origins are quite separate, Asao proved in 2022 that in fact these homology theories are intimately related. To every directed graph one can associate a certain spectral sequence - the magnitude-path spectral sequence, or MPSS - whose page E^1 is exactly magnitude homology, while path homology lies along a single axis of page E^2. In this talk, based on joint work with Richard Hepworth, I will describe the construction of the sequence and argue that each one of its pages deserves to be regarded as a homology theory for directed graphs, satisfying a Künneth theorem and an excision theorem, and with a homotopy-invariance property that grows stronger as we turn the pages of the sequence.

We will meet in the following coordinates:

https://epfl.zoom.us/j/66322742056?pwd=VnlFcU9kWTlERG9pQTRjVVVOa29TZz09
Meeting ID:  663 2274 2056
Passcode: 712373

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 organizers
Daniela Egas Santander, Henri Riihimäki, Jason Smith

[Daniela Egas Santander]

Dear AATRN Networks members,

Apologies for the mix up regarding daylight savings.  Our meeting is at 5pm CET which is in 1 hour. 

Best wishes, 

Daniela