Thursday, October 25, 2018 - 13:00

427 Thackeray Hall

### Abstract or Additional Information

Khovanskii bases were originally developed by Dr. Kaveh and Dr. Manon, and are a far generalization of Grobner bases for an arbitrary algebra A. In this talk I will be reviewing Grobner bases and SAGBI bases, and showing how we can use Khovanskii bases to apply Grobner theory in an algebra A, with a generalized version of the Buchburger Criterion and Buchburger Algorithm as well as other tools that are needed.