The Hebrew University of Jerusalem
Einstein Institute of Mathematics
Hebrew University of Jerusalem The Hebrew University of Jerusalem
The Rachel and Selim Benin School of Computer Science & Engineering

Center for Theoretical Computer Science and Discrete Mathematics

Erdős Lectures in Discrete Mathematics and Theoretical Computer Science

May 4th   7th   10th   2017

Jozsef Solymosi    (UBC)

The lectures will be held at the Edmond Safra Campus    Givat Ram, Jerusalem

First talk:    Thursday, May 4, 14:30--15:30    Math colloquium talk    Mathematics building, Lecture hall 2

The sum-product problem

The incompatibility of multiplicative and additive structures in various fields and rings is an important phenomena. In this talk I will talk about a special case of it. Let us consider a finite subset of integers, A. The sum set of A is the set of pairwise sums of elements of A and the product set is the set of pairwise products. Erdős and Szemeredi conjectured that either the sum set or the product set should be large, almost quadratic in size of A. The conjecture is still open. Similar questions can be asked over any ring or field.
We will review some recent results, further problems and conjectures.

Second talk:    Sunday, May 7, 11:00--13:00    Combinatorics seminar    Rothberg building B, Room 221

Polynomial methods in incidence geometry

Several exciting new results in discrete geometry and additive combinatorics were proved using basic properties of a well chosen polynomial. In these cases the polynomial captures some of the key features of the problem.
We will analyse the results searching for common elements in the proofs.

Third talk:    Wednesday, May 10, 10:30--12:00    CS theory seminar    Rothberg building B, Room 220

Geometric incidences

This talk is a continuation of the previous two. We will translate various mathematical problems to questions about geometric incidences. Then, we give bounds on the number of incidences between curves and points over real, complex, and finite fields.

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Design, construction & editing: N. Levin
Last updated: April 19th, 2017