Prof. Ehud Hrushovski
Title: Logic, Geometry and (approximate) groups.
Abstract: I will discuss some points of contact between mathematical logic and geometry, centering on plane geometry, symmetries and approximate symmetries. The talk is intended to be understandable to mathematically oriented high school students, at least in part.
Prof. Noga Alon
Title: The Combinatorial Nullstellensatz: Applications, Extensions and Algorithms
Abstract: The focus of the lecture is a topic to which I devoted much efforts over the years. It is still the subject of some of my present work and of the research of a considerable number of additional researchers. This is the Combinatorial Nullstellensatz, a variant of Hilbert's Nullstellensatz which is one of the foundational results of Algebraic Geometry. This variant found applications in Combinatorics, Graph theory, Additive Number Theory and Combinatorial Geometry. I will describe some of these applications and discuss briefly their intriguing algorithmic aspects.