IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

NSF-CBMS Conference on Additive Combinatorics from a Geometric Viewpoint

Jozsef Solymosi
University of British Columbia
http://www.math.ubc.ca/~solymosi/
Abstract

The sum-product problem over fields of characteristic zero

  • May 25, 2018
  • 9 a.m.
  • LeConte 412

An old conjecture of Erdos and Szemeredi states that for any finite set of integers has large sumset or large product set (almost quadratic in the size of the set). We are going to prove lower bounds on the sum of the cardinalities of the sumset and the product set showing that additive and multiplicative structures are very incompatible.

© Interdisciplinary Mathematics Institute | The University of South Carolina Board of Trustees | Webmaster
USC