2019 Fall Colloquia
Lara Pudwell, PH. D.,Associate Professor, Valparaiso University
Friday, October 11, 2019
Jordan Hall 236
What's In Your Wallet?
You may associate this title with credit card commercials, but it is also an invitation to some interesting probabiliistic mathematics. A Markov chain is a model for analyzing sequeces of events where each event only depends on the result of the previous event. In this talk, we will explore Markov chains in general and use them to answer the particular question "What is the most likely distribution of coins to have in your wallet?".
All events are free and open to the public. Please join us!
Stefano Silvestri, Ph.D., Instructor, butler University
Friday, September 13, 2019
The Chaos Game
Consider the points A, B, C forming the vertices of a triangle. Suppose you repeatedly move a point in the plane halfway towards a randomly chosen vertex. If you keep track of the position of the point at each move, do you expect a pattern to emerge or simply a smeary mess inside the triangle? What if you move a quarter of the way towards A but halfway towards B and C? What about if we moved towards the vertices of a different polygon? Studying the mathematics underlying this game was instrumental, for instance, in developing smaller cellphones and making amazing Marvel's movies!
Please joint us; all events are open to the public.
J. James Woods Lecture Series
Lectures in the Sciences and Mathematics
Check the schedule for fall lectures: https://www.butler.edu/woods-lectures
All events are free and open to the public.
Previous Colloquia Talks
Spring 2019 Senior Seminar Presdentations
Kelley Martin "Surpise Uncertainty, Entropy, and Coding Theory"
Andrew Walter "Seeding's Effect on Placement Variance in Swiss-Style Tournaments"
Richard Clark "Linear Programming in Sabermetrics"
Carly Hewitt "Projections and Convex Optimization Techniques in Examining Mental Health Issues"
Abigale Wynn "Investigating the Factors that Affect Student Performance at Butler"
Please join us for both afternoon of great talks. Everyone is welcome.
Spaces of Analytic Functions and Optimal Polynomial Approximants
Butler Alumus '16
Mathematics & Statistics PhD
Washington University in St. Louis
The ABC Conjecture
Ben Linowitz, Ph. D., Assitant Professor of Mathematics, Oberlin College
The ABC conjecture is a central open problem in number theory. If true, it would imply a number of incredible resultls, some of which have earned Fields medals in the past. Given these amazing consequences, it is perhaps surprising that the conjecture is remarkably easy to state; it concerns the integer solutions to the equation A+B=C. In 2012 Sinchi Mochizuki announced a 500-page proof of the conjecture, and it is only now that mathematicians are coming to terms with his proof and whether or not it is valid. In this talk Dr. Linowitz will state the conjecture, indicate some of its consequences and prove an analogue for polynomials.