Research Seminars @ Illinois

View Full Calendar

Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Coble Lectures: Knots, Graphs, and Colorings

Event Type: Lecture
Sponsor: Department of Mathematics
Location: Bevier 180
Date: Nov 12, 2024 4:00 pm
Speaker: Peter Kronheimer (Harvard)
Views: 255
Originating Calendar: Mathematics Colloquium & Named Lectures; Abstract: Two of Wolfgang Haken's important achievements in mathematics were (1) the construction of an algorithm to decide whether a tangled loop is truly knotted or not, and (2) his landmark proof with Kenneth Appel that four colors suffice to color the regions of any map. Today, there are many new ways to settle the first of these questions, but the Appel-Haken proof remains the only successful approach to the second problem. This talk will examine a way in which both of these problems can be brought together, still involving "colorings", but also some elementary group theory and the Yang-Mills equations from mathematical physics.

link for robots only