Combinatorial Hopf algebras: A Common Playground for Algebra and Combinatorics

09/14/2010 - 12:15pm
09/14/2010 - 1:10pm
Gizem Karaali (Pomona College)

Hopf algebras were invented to do geometry, but algebraists took off with them and thus developed a beautiful theory around these objects which can today be viewed as the ultimate framework for representation theory. A flurry of activity in the field was spurred by the developments in the 80s of quantum groups. More recently combinatorialists took an active interest in Hopf algebras. Combinatorial Hopf algebras were defined only in this decade, but they have already spawned a new industry around them. The purpose of this talk will be to describe the current state of affairs in this new field of research. Basic definitions, motivational examples, and some recent results will be included.

Millikan 208 (Pomona College)