============================== Bar-Ilan Combinatorics Seminar ============================== The next meeting of the seminar this year will take place, IYH, on (when) Tuesday, 18 Marcheshvan (Oct. 30) refreshments at 11:45, talk at 12:00 noon (where) Room 331 (Math Dept Seminar Room), Math and CS Building (216), Bar-Ilan University (who) Shelly Garion (Hebrew University) will talk about (what) "Commutator maps, measure preservation and T-systems" Abstract: --------- Given a group G we study the commutator map f:GxG-->G where f(x,y)=x^{-1}y^{-1}xy. When G is finite and has very few representations in some sense, we show that the map f is almost measure preserving. In particular almost all elements of such groups are commutators. The main applications of this technique are for finite simple groups. We prove results towards a longstanding conjecture of Ore (which is still open), and confirm a conjecture of Guralnick and Pak on the Product Replacement Algorithm. This is joint work with Aner Shalev. Forthcoming Events ================== * 25 Marcheshvan (Nov. 6) Avital Frumkin (Tel-Aviv University): "Asymptotic Kronecker coefficients for hook diagrams" * 3 Kislev (Nov. 13) Eli Bagno (Jerusalem College of Technology): TBA ************************************************************************* You are all invited ! (Graduate students especially welcome) If you want to give a talk at the seminar, or know a prospective speaker, please contact Ron Adin . Seminar's homepage: see *************************************************************************