Title: An introduction to Khovanskii bases

Abstract: Khovanskii bases are subsets of algebras which have nice computational properties.  They are a generalization of so-called SAGBI bases or canonical bases in an algebra, and in this sense they are meant to do for algebras what Groebner bases do for ideals. I'll give an introduction to Khovanskii bases, describe a few theorems about their structure and their existence, and describe their relationship to other interesting topics in combinatorial algebraic geometry, like tropical geometry and toric geometry.