Event time:
Thursday, December 12, 2013 - 11:15am to 12:15pm
Location:
431DL
Speaker:
Noga Alon
Speaker affiliation:
Tel Aviv University and IAS, Princeton
Event description:
The study of sum and product problems in finite fields motivates the
investigation of additive structures in multiplicative subgroups of such
fields. It turns out that such subgroups that are sufficiently large
with respect to the size of the field must contain rich structures
of additive relations, while even prime fields may contain sum-free
multiplicative subgroups of substantial size. The study of this topic
combines combinatorial techniques with tools from algebraic and analytic
number theory.
Joint work with Jean Bourgain