Event date: November 6 - November 11, 2016
YouTube playlist
Organizers:
- Nir Avni (Northwestern University)
- Chen Meiri (Technion)
- Shahar Mozes (The Hebrew University)
- Ori Parzanchevski (The Hebrew University)
- Yuval Roichman (Bar Ilan University)
- Aner Shalev (The Hebrew University)
- Uzi Vishne (Bar Ilan University)
General Director: Peter Sarnak (IAS Princeton)
Lecturers:
| Hillel Furstenberg (The Hebrew University of Jerusalem) |
Ramsey Theory for Non-amenable Groups |
| Roy Meshulam (Technion, Israel Institute of Technology) |
High Dimensional Expansion |
| Martin Kassabov (Cornell University) | From character varieties to quantum representation of mapping class groups |
| Avinoam Mann (The Hebrew University of Jerusalem) |
Positively finitely generated groups and their associated zeta-functions |
| Nir Avni (Northwestern University) | Survey of representation growth |
| Emmanuel Breuillard (Université Paris-Sud 11) | Strongly dense free subgroups |
| László Babai (University of Chicago) |
Finite permutation groups and the Graph Isomorphism problem |
| László Pyber (Alfréd Rényi Institute of Mathematics, Budapest) | How to avoid the Classification Theorem of Finite Simple Groups in Asymptotic Group Theory |
| Oren Becker (The Hebrew University of Jerusalem) | Locally testable groups |
| David El-Chai Ben-Ezra (The Hebrew University of Jerusalem) | The congruence subgroup problem for metabelian groups |
| Shai Evra (The Hebrew University of Jerusalem) | Topological Expanders |
| Emmanuel Kowalski (ETH Zurich ) |
Recognizing groups in arithmetic problems |
| Nikolay Nikolov (University of Oxford) | On the growth of torsion in homology of finite index subgroups |
| Rostislav Grigorchuk (Texas A&M University) | Models of random group via the dynamical constructions on the space of groups |
| Alan Reid (University of Texas at Austin) | Profinite rigidity in low dimensions |
| Andrei Rapinchuk (University of Virginia) | Eigenvalue Rigidity and Hearing the Shape of a Locally Symmetric Space |
| Aner Shalev (The Hebrew University of Jerusalem) | Linear groups and simple groups |
| Marcus Du Sautoy (University of Oxford) | Zeta functions of Groups |
| Robert Guralnick (University of Southern California) | Presentations of finite groups and cohomology |
| Tsachik Gelander (Weizmann Institute of Science) | Torsion in Negative Curvature |
| Dan Segal (Oxford University) | Strongly complete profinite groups |
| Inna Capdeboscq (University of Warwick) | Generation and Presentations: Kac-Moody groups’ perspective |
| Peter Sarnak (IAS Princeton) | Navigating PU(2) ,Golden Gates and Strong Approximation |
| Efim Zelmanov (University of San Diego) | Infinite infinitesimal groups and their representations |
| Martin Liebeck (Imperial College London ) | Algorithms for finitely presented groups, and probabilistic group theory |
| Ori Parzanchevski (The Hebrew University of Jerusalem) | Golden Gates and High Dimensional Expanders |
| Karen Vogtmann (University of Warwick) | Fnding infinity inside Outer space |
Groups have always played a central role in the different branches of Algebra, yet their importance goes far behind the limits of Algebraic research. One of the most significant examples for this is the work of Alex Lubotzky. Over the last 35 years, Alex has developed and applied group theoretic methods to different areas of mathematics including combinatorics, computer science, geometry and number theory. His research led the way in the study of expander graphs, p-adic Lie groups, profinite groups, subgroup growth and many geometric counting problems. The 20th Midrasha, dedicated to t Alex’s 60th birthday, will include lectures from leading mathematicians in these fields presenting their current work.