Combinatorial Algebraic Geometry

The study of varieties with explicit combinatorial structure provides a unifying theme for this Combinatorial Algebraic Geometry semester at the Fields Institute.  These varieties are surprisingly ubiquitous, arising in algebraic geometry, commutative algebra, representation theory, mathematical physics, and many other fields.  The scientific aims of this program are to:

• introduce the study of such 'combinatorial varieties' to the mathematical community,
• refine the techniques used within algebraic geometry to study combinatorial varieties, and
• enlarge the class of algebraic spaces which have a recognized combinatorial structure.