This Week
Yuval Yifrach (Technion - Israel Institute of Technology)
Approximation of Diagonally Invariant measure by Tori Measures.
Approximation of Diagonally Invariant measure by Tori Measures.
We consider the family of periodic measures for the full diagonal action on the space of unimodular lattices. This family is important and natural due to its tight relation to class groups in number fields. We show that many natural families of measures on the space of lattices can be approximated using this family (in the weak sense). E.g., we show that for any 0<c\leq 1, the measure cm_{X_n} can be approximated this way, where m_{X_n} denotes the Haar probability measure on X_n. Moreover, we show that non ergodic measures can be approximated. Our proof is based on the equidistribution of Hecke neighbors and on constructions of special number fields. We will discuss the results, alternative ways to attack the problem, and our method of proof. This talk is based on a joint work with Omri Solan.
2022–23–B meetings
Upcoming Meetings
Date |
Title |
Speaker |
Abstract |
---|---|---|---|
Mar 23 | Approximation of Diagonally Invariant measure by Tori Measures. | Yuval Yifrach (Technion - Israel Institute of Technology) | |
Mar 30 | TBA | Thomas Ng (Technion - Israel Institute of Technology) | |
Apr 6 | Passover break | Passover break | |
Apr 13 | TBA | Nir Lazarovich (Technion - Israel Institute of Technology) | |
Apr 20 | Mixing sequences for non-mixing locally compact Abelian groups actions | El Houcein El Abdalaoui (CNRS-Université de Rouen Normandie) | |
Apr 27 | TBA | Zemer Kosloff (The Hebrew University of Jerusalem) | |
May 4 | TBA | Daren Wei (The Hebrew University of Jerusalem) | |
May 11 | TBA | ||
May 18 | TBA | Jon Aaronson (Tel Aviv University) | |
May 25 | Shavuot - holiday | Shavuot - holiday | |
Jun 1 | TBA | ||
Jun 8 | TBA | ||
Jun 15 | TBA | ||
Jun 22 | TBA | Amir Algom (University of Haifa) |
Past Meetings
Date |
Title |
Speaker |
Abstract |
---|---|---|---|
Mar 16 | A representation of Out(Fn) by counting subwords of cyclic words | Noam Kolodner (Tel Aviv University) | |
Mar 16, 14:00–15:00 | Amenability is equivalent to the invariant random order extension property on groups | Andrei Alpeev (The Weizmann Institute of Science) |
Seminar run by Dr. Shrey Sanadhya and Dr. Ido Grayevsky