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Colloquia: General Information
The Swarthmore College Department of Mathematics
and Statistics invite you to join us on Tuesdays for colloquia.
Unless otherwise specified, colloquia will be held at:
- Place: Science Center 199
- Day: Tuesday
- Time: 4:30 - 5:30 // refreshments
served at 4:15
April 3
Hannah Robbins, University of Michigan
Polynomial Survivor: Symmetries of the square and invariant theory
We will investigate and classify the symmetries of a square and allow them to act on polynomials. Who will survive unchanged?
- Place:Science Center 181
- Day: Thursday
- Time: 4:30 - 5:30 // refreshments
served at 4:15
April 7
Michael Johnson, Temple University
Relating Dynamical Systems to Arithmetic Progressions
Given finitely many colors, we assign a color to each positive integer. Given any such coloring of the integers, van der Waerden's Theorem states that we can find arithmetic progressions of any length, where each term has the same color. More recently, Furstenberg showed that finding arithmetic progressions in subsets of the integers has connections to the field of dynamical systems. In dynamical
systems, we study the behavior of functions that transform a space while preserving volume. We describe how recurrence properties of such transformations can be used to prove results like van der Waerden's
- Place:Science Center 183
- Day: Monday
- Time: 4:30 - 5:30 // refreshments
served at 4:15
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