Undergraduate Lecture Series (Math Monday): Slicing Varieties – a taste of computational algebraic geometry

Lecture | April 24 | 5-6 p.m. | 740 Evans Hall

 Martin Helmer, UC Berkeley

 Department of Mathematics

Simply put algebraic geometry studies the zeros of systems of polynomial equations in n variables. The zeros of such systems define geometric objects called algebraic varieties. In this talk, we will introduce these objects and describe one basic invariant of a variety, known as its degree, which is of interest both when considering mathematical questions and when attempting to solve applied problems. In the case where our variety is defined by a monomial parametrization the degree of a variety has a particularly nice combinatorial realization in terms of polyhedral geometry, we will focus on explaining this case. Many examples and pictures will be given.

There are no prerequisites for this talk.