שלחו לחבר

High transitivity in algebra and geometry

Speaker
Mikhail Zaidenberg, Fourier Institute, Grenoble
Date
24/11/2019 - 13:00 - 12:00
Place
Department Seminar Room 216/201
Abstract

An infinite group G is called highly transitive if it acts on some infiniteset m-transitively for any natural number m. We give a brief survey on some recent results on abstract highly transitive groups.

Then we pass to examples of affine algebraic varieties with the automorphism group acting highly transitively; specifically, of toric affine varieties. We show that a highly transitive group can be generated by a finite number of one-parameter subgroups; for the affine spaces, three such subgroups suffice. We formulate some open problems related to group growth.

תאריך עדכון אחרון : 17/11/2019