# Zero-Sum Ramsey Theory: Graphs, Sequences and More (19w5132)

## Organizers

Yair Caro (University of Haifa-Oranim)

Zero-sum Ramsey theory (also Zero-sum theory) is a very rich branch in Combinatorics which combines tools from Number theory, Algebra, Linear algebra, Graph theory, Discrete analysis and other branches in Mathematics. It deals with problems of the following kind: given a combinatorial structure whose elements are assigned different weights (usually elements from an Abelian group $A$), one seeks for conditions that guarantee the existence of certain substructure whose weights of its elements sum up to zero (in $A$). Since the beginning of the 60's, where the first result of this kind by Erd\H{o}s, Gizburg and Ziv was published, the study of such kind of problems has received growing interest among Mathematicians. However, the topic gets usually absorbed by the large amount of related research in Combinatorics and it usually does not stand out as an individual branch in the different conferences from the area.