Vladimir Shpilrain, City College of New York

Abstract: A lot of work has been done in the last 10 years to show how non-commutative infinite groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. In this talk, I will show that there is a remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research avenues within group theory.