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August 28, 2014
Thursday, August 28
Algebra Seminar
Time: 14:30
Speaker: Yuri Zarhin (Penn State/Weizmann)
Title: "Jordan properties of automorphism groups of algebraic varieties"
Room: MC 108

Abstract: A classical theorem of Jordan asserts that every finite subgroup B of the complex general linear (matrix) group GL(n) contains a (normal) commutative subgroup A such that the index of A in B does not exceed a universal constant that depends only on n. One may ask whether analogues of Jordan's theorem remain true if the matrix group is replaced by the group of biregular (or birational) automorphisms of a complex algebraic variety. We discuss results of J.-P. Serre, V. L. Popov, Yu. Prokhorov--K. Shramov, T. Bandman and the speaker.