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Math and Stats colloquium: Two questions for NSF Research Experiences for Undergraduates
Friday, Mar. 8, 2024, 4–5 p.m.
Holt 175
This week, we have two short talks: John Lind (CSU, Chico) Title: A question on knots and graphs for NSF Research Experiences for Undergraduates Abstract: There is a mysterious connection between knots and directed graphs, defined in terms of the regions in a knot diagram. I will explain how to translate information between the world of knots and the world of graphs using this connection. Some classic knot invariants, such as the Alexander polynomial, correspond to well-understood aspects of graph theory. This will lead us to ask how other, more recently discovered, knot invariants might be understood in terms of graphs. Michael Coons (CSU, Chico) Title: A question on aperiodic order for NSF Research Experiences for Undergraduates Abstract: In this talk, I will start by defining the Stern sequences and Takagi function. Then we will come upon two pictures that looks strangely similar. The idea of the problem is to understand how these two pictures are so similar. This single problem falls in the intersection of analysis, combinatorics, number theory, dynamical systems and fractal geometry.