Algebraic Graph Theory International Webinar (7.3.2023)

v utorok 7.3.2023 o 19:00 hod.

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The organizers of the Algebraic Graph Theory International Webinar would like to invite you to join us and other colleagues on March 7, 2023, at 7pm Central European Summer Time (= 6pm UTC), for the next presentation delivered by Veronika Bachrata. 

The title: Orientably-regular maps with no non-trivial exponents

Abstract:
Given an orientable map M, and an integer e relatively prime to the valency of M, the e-th rotational power M^e of M is the map formed by replacing the cyclic rotation of edges around each vertex with its e-th power. If maps M and M^e are isomorphic, and the corresponding isomorphism preserves the orientation of the carrier surface, then we say that e is an exponent of M.

In this talk, I will recall and explain some useful definitions, and then show how canonical regular covers of maps can be used to prove that for every given hyperbolic pair (k,m) there exists an orientably-regular map of type {m,k} with no non-trivial exponents. In particular, for each hyperbolic pair (k,m) we find a suitable orientable map of type {m,k} such that the canonical regular cover of this map is an orientably-regular map (of the same type) with no non-trivial exponents.

This is joint work with Martin Bachratý.

The Zoom link for this semester is: 

https://cuaieed-unam.zoom.us/j/87193320713?pwd=cHpiWUtYWlUvWHZjdGZteSt1QmZ5UT09
Meeting ID: 871 9332 0713
Passcode: 653250

Further details may be found at http://euler.doa.fmph.uniba.sk/AGTIW.html

where you can also find the slides and the recordings of our previous presentations. Also, if you wish to advertise an AGT friendly conference on this page, please send us the link.  

Hoping to see you at the webinar, and wishing you all the best. 

Isabel Hubard, Robert Jajcay and Primoz Potocnik 

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