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 geometry of Cartesian products

  • May 21, 2018
  • 2 p.m.
  • LeConte 412

Szemeredi-Trotter type incidence bounds for Cartesian products. Complex lines. Grid-like Cartesian products are easier to work with than with general pointsets. They offer to state and prove toy versions of harder to prove general theorems. Still, in several applications the Cartesian product structure appears naturally, so the results can be used in additive combinatorics directly.

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