Group Theory

Mark Berman, Gabriel Ben-Simon, Dietmar Salamon (ETH Zürich, Switzerland), Marc Burger (ETH Zürich, Switzerland),Tobias Hartnick (Technion), Frol Zapolsky (University of Haifa), Egor Shelukhin (Tel Aviv University), Leonid Polterovich (University of Tel Aviv), Michael Schein (Bar-Ilan University), Uri Onn (Ben Gurion University), Benjamin Klopsch (University of Düsseldorf, Germany) and Christopher Voll (University of Bielefeld, Germany).
 
Groups encapsulate symmetry and are fundamental objects in both pure and applied mathematics. The Theory of Groups constitutes a fundamental element of Pure Mathematics – appearing in Algebra, Number Theory, Combinatorics, Algebraic Topology, Algebraic Geometry, Galois Theory and Class Field Theory – as well as in many other areas of science such as Physics, Chemistry, Cryptography and Computer Science.
Dr. Ben-Simon’s research focusses on geometric group theory, finite and infinite dimensional Lie groups, the study of Newton’s equations via Hamiltonian dynamics and the application of geometric group theory to symplectic manifolds via quasi-morphisms.
Dr. Berman’s research focusses on zeta functions of finitely generated nilpotent groups; these are analytic functions that encode the numbers of finite index subgroups in a given group. In particular, techniques are employed from the theory of algebraic groups, Lie algebras, representation theory, p-adic integration and combinatorics to determine special features of such zeta functions.
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Keywords: geometric group theory, Lie groups, symplectic manifolds, finitely generated nilpotent groups, algebraic groups,representation theory, combinatorics, zeta functions of groups, subgroup growth, p-adic integration