U. of Haifa Colloquium 8/6/21
Speaker: Alexandru Chirvasitu (University of Buffalo)
Topic: Generic rigidity patterns
Place: This is an online seminar. Please email Yuval Ginosar “ginosar at math dot haifa dot ac dot il” for the Zoom ID and password.
Date: Tuesday, June 8, 2021
I will discuss a number of results which, though to my knowledge not mutually related in any direct manner, nevertheless have a recognizably common flavor: “most” objects of such-and-such a type have “few” symmetries. Examples abound; the objects in question might be
– finite graphs, where “most” is interpreted probabilistically and asymptotically as the graphs grow;
– quantum graphs (i.e. appropriately well-behaved subspaces of matrix algebras), where “most” means “along a Zariski-dense subset”;
– measured metric spaces, with “most” = “over a residual set in the measured Gromov-Hausdorff topology”;
– Riemannian manifolds, “most” meaning “over an open dense set in the smooth topology”.
“Few symmetries” is also subject to rich interpretation: it might mean a trivial automorphism group, or a quantum-group version thereof, or that the automorphism group can be prescribed beforehand.
(partly joint w/ Mateusz Wasilewski)