Algebraic Graph Theory International Webinar (13.12.2022)
v utorok 13.12.2022 o 19:00 hod.
Od: Róbert Jajcay
The organizers of the Algebraic Graph Theory International Webinar would like to invite you to join us and other colleagues on December 13, 2022, at 7pm Central European Summer Time (= 6pm UTC), for the next presentation delivered by Mark Mixer.
The title of Martin's talk: Internal and External Duality in Abstract Polytopes
Whenever a polytope is invariant under a transformation, such as duality, we often describe this as an ``external" symmetry of the polytope. However, in the context of abstract regular polytopes, self-duality can be seen as an automorphism of the symmetry group of the polytope. Often this symmetry will be an outer automorphism, but there are many interesting cases where the symmetry will be inner, and thus corresponds with a rank-preserving symmetry of the polytope; such polytopes are said to be internally self-dual.
What does this mean combinatorially? What types of polytopes have this property that self-duality yields an inner automorphism? In this talk, we will examine various examples of families of polytopes that are internally-self dual, and explore the implications of a polytope having an internal duality.
This is joint work with Gabe Cunningham.
The Zoom link for this semester is:
Meeting ID: 871 9332 0713
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