IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

NSF-CBMS Conference on Additive Combinatorics from a Geometric Viewpoint

Gyula Karolyi
Eötvös University
http://web.cs.elte.hu/~karolyi/
Abstract

Algebraic methods for restricted set addition

  • May 24, 2018
  • 10:30 a.m.
  • LeConte 412

During the last two decades the polynomial method led to a wealth of results in the additive theory. I will introduce various forms of the Combinatorial Nullstellensatz and demonstrate their power on a classical problem due to Erdős and Heilbronn. Towards a more geometric view I will also explain the exterior algebra method and how equivariant cohomology may be used to obtain geometric insight to additive problems.

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