20th Midrasha Mathematicae : 60 Faces to Groups

January 25, 2017

The 20th Midrasha Mathematicae: 60 Faces to Groups

YouTube playlist

Event date: November 6 - November 11, 2016 

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.