Recent Mathematical Advances Distinguished Lecture Series
October 24, 2023
9:00 AM (Los Angeles), 12:00 PM (Montreal, New York), 5:00 PM (London) 6:00 PM (Madrid, Paris) 7:00 PM (Tel-Aviv)
National Museum of Mathematics & University of Arkansas
The discoveries of the Hat and Spectre — single shapes that can be used to form tilings of the plane, but only can form non-periodic ones — lay to rest the longstanding question of the existence of an “aperiodic monotile” but it remains an open question: How complex can the behavior of a single shape of tile be? Can we even tell whether or not a given shape will tile the plane — is the “monotiling problem” even decidable? We’ll survey the status of several related decision and existence problems, across a range of settings, such as hyperbolic space, groups as graphs, or tilings by a single monotile.