Algebra is one the formal pillars of mathematics, and is very ancient. Modern algebra has its roots in the mathematics of the ancient world, arising out of the basic problem of solving equations. It is now a vibrant, multi-faceted and wide-ranging branch of mathematics, having ties with almost every field of mathematics and computer science. Fundamentally the purpose of algebra always was to produce a formula that one could put into a machine, turn a handle and get the answer. The main interest of the algebra are algebraic number theory - study of algebraic structures to algebraic integers, algebraic topology – study of topological spaces, algebraic geometry – study of algebra and geometry combined

The entire modern world relies on combinatorial algorithms. Combinatorics turns out to be pretty relevant for group theory, probability, graph theory, topology, analysis, etc. Another important application of combinatorics is in representation theory, symmetric functions, and the study of varieties with lots of symmetries. A particular strength of the Algebra and Combinatorics is the computational and algorithmic aspects of groups and graphs.

Partial differential equations are a essential tool in the modelling of phenomena in nature and industrial processes. An important part of these applications corresponds to fluids and materials. Both fields, equations and applications, need to be connected in order to advance in knowledge. The session brings together different aspects, theory, numerics, and applications to fluids and materials with this purpose.