Quartic curves and their bitangents

When
Start: 09/07/2011 - 4:15pm
End  : 09/07/2011 - 5:15pm

Category
Colloquium

Speaker
Bernd Sturmfels (University of California at Berkeley)

Abstract

We present a computational study of plane curves of degree four, with primary focus on representing their defining polynomials as sums of squares and as symmetric determinants. Based on joint work with Daniel Plaumann and Cynthia Vinzant, this lecture spans the bridge from 19th century algebraic geometry to 21st century polynomial optimization theory.

About the speaker

Bernd Sturmfels received doctoral degrees in Mathematics in 1987 from the University of Washington and the Technical University Darmstadt, Germany. He joined UC Berkeley in 1995, where he is Professor of Mathematics, Statistics and Computer Science. His honors include a National Young Investigator Fellowship, a Sloan Fellowship, and a David and Lucile Packard Fellowship, a Clay Senior Scholarship, an Alexander von Humboldt Senior Research Prize, and the SIAM von Neumann Lecturership. Recently, he served as Vice President of the American Mathematical Society. Sturmfels has authored ten books and 200 research articles, in the areas of combinatorics, algebraic geometry, symbolic computation and their applications. His current research focuses on algebraic methods in optimization, statistics, and computational biology.

Where
Millikan Auditorium, Pomona College: entrance is on the north side of the Millikan patio (6th St. and College St.)

Misc. Information

Here is the PDF flyer for this talk. The dinner will be hosted by Prof. Stephan Garcia.