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Professor Bernd Sturmfels, UC Berkeley, will present two lectures, March 26 and 27.
The first presentation is a public lecture, accessible to students and public outside the mathematics community, and the second presentation is a research lecture.
PUBLIC LECTURE
Thursday, March 26, 4 pm, Biology 101
Reception follows in Biology Lobby
Title: Beyond Linear Algebra
Abstract: Linear algebra is the foundation of scientific computing and its
numerous applications. Yet, the world is non-linear. In this lecture we argue that
it pays off to work with models that are described by non-linear polynomials,
while still taking advantage of the power of numerical linear algebra. We offer
a glimpse of applied algebraic geometry, by discussing current trends in tensor
decomposition, polynomial optimization, and algebraic statistics. Students will
especially enjoy the illustrations of these concepts by many colorful pictures.
RESEARCH LECTURE
Friday, March 27, 3:30 pm, Chemistry 107
Reception precedes in Math 238B
Title: The Euclidean Distance Degree
Abstract: The nearest point map of a real algebraic variety with respect
to Euclidean distance is an algebraic function. The Euclidean distance
degree is the number of critical points for this optimization problem.
We focus on projective varieties seen in engineering applications, and
we discuss tools for exact computation. Our running example is the
Eckart-Young Theorem which relates the nearest point map for low rank
matrices with the singular value decomposition. This is joint work with
Jan Draisma, Emil Horobet, Giorgio Ottaviani, Rekha Thomas.
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Posted:
3/22/2015
Originator:
Lourdes Juan
Email:
lourdes.juan@ttu.edu
Department:
Mathematics and Statistics
Event Information
Time: 4:00 PM - 5:00 PM
Event Date: 3/26/2015
Location:
Biology 101
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