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.

 mahrud@berkeley.edu