Combinatorics of manifold triangulations (Geva Yashfe)
A triangulation of a compact manifold is a finite combinatorial description of the manifold. The combinatorial study of manifold triangulations is an attempt to answer structural, extremal, and enumerative questions about such objects. After a brief survey, we will discuss the structure and asymptotic enumeration of triangulated spheres in dimensions 2 and 3.

Geometric Notions in Stability Theory (Ori Segel)
A major area of study in model theory is classification theory, which attempts to identify useful properties of first order theories (examples of such theories are the theory of algebraically closed fields of characteristic 0, or the theory of real vector spaces, or the theory of a dense linear order without endpoints). These properties are often defined in terms of various model theoretic constructions which are or are not possible within the theory.
The talk will focus on one important property: stability. This property has multiple seemingly unrelated - but nonetheless equivalent - definitions, and is of particular interest because in the models of a stable theory one can recover various geometric concepts. For example, one can define the concept of independent elements - as in linear or algebraic independence - based on very abstract assumptions.
The talk will also serve as an introduction to some important concepts in model theory. As such, only basic knowledge in mathematical logic will be assumed.