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Rational function progressions
Algebraic Geometry and Number Theory| Speaker: | Zi Li Lim, UCLA |
| Related Webpage: | https://sites.google.com/view/zi-li-lim/home |
| Location: | 2112 MSB |
| Start time: | Wed, Apr 15 2026, 12:10PM |
Description
Szemeredi proved that any subset of the integers with positive upper density contains arbitrarily long arithmetic progressions. Subsequently, Szemeredi's theorem was generalized to the polynomial and multidimensional settings. We will discuss finding the progressions involving rational functions via Fourier analysis and algebraic geometry.