Colloquium Ical Atom Mailing List
This Week
Alex Lubotzky (Hebrew University)
First order rigidity of high-rank arithmetic groups
The family of high rank arithmetic groups is class of groups which is playing an important role in various areas of mathematics. It includes SL(n,Z), for n>2 , SL(n, Z[1/p] ) for n>1, their finite index subgroups and many more. A number of remarkable results about them have been proven including; Mostow rigidity, Margulis Super rigidity and the Quasi-isometric rigidity. We will talk about a new type of rigidity : “first order rigidity”. Namely if D is such a non-uniform characteristic zero arithmetic group and E a finitely generated group which is elementary equivalent to it ( i.e., the same first order theory in the sense of model theory) then E is isomorphic to D. This stands in contrast with Zlil Sela’s remarkable work which implies that the free groups, surface groups and hyperbolic groups ( many of which are low-rank arithmetic groups) have many non isomorphic finitely generated groups which are elementary equivalent to them. Joint work with Nir Avni and Chen Meiri.
Fall 2017 meetings
Upcoming Meetings
Date |
Title |
Speaker |
Abstract |
---|---|---|---|
Nov 21 | First order rigidity of high-rank arithmetic groups | Alex Lubotzky (Hebrew University) | |
Nov 28 | TBA | Itay Kaplan (Hebrew University) | |
Dec 5 | TBA | Gal Binyamini (Weizmann) | |
Dec 12, 14:00–17:00 | TBA | Math-Physics meeting | |
Dec 19 | TBA | Boaz Slomka (University of Michigan) | |
Jan 2 | TBA | Naomi Feldheim (Weizmann Institute) | |
Jan 9 | An analogues of Borel’s Fixed Point Theorem for finite p-groups | George Glaubermann (University of Chicago) | |
Jan 16 | TBA | David Evans (Cardiff University) |
Past Meetings
Date |
Title |
Speaker |
Abstract |
---|---|---|---|
Oct 24 | Holography of traversing flows and its applications to the inverse scattering problems | Gabriel Katz (MIT) | |
Oct 31 | TBA | Faculty Meeting (no colloquium) | |
Nov 7 | Path connectedness of the space of hyperbolic ergodic measures | Yakov Pesin (Penn State University) | |
Nov 14 | First steps of the symplectic function theory | Michael Entov (Technion) |
Seminar run by Dr Michael Brandenbursky