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On April 1, Eisenbud gave the 15th Annual Rowlee Lecture, providing a splendid opening for the KUMUNU conference. Many KUMUNU participants arrived in time to hear Eisenbud, a leading researcher in commutative algebra and algebraic geometry, and author of several widely used books on these subjects. He chose the title "Plato's Cave: Some things we know and some things we don't know about shadows on the wall." The name comes from a fictional dialog, described in Book VII of Plato's The Republic, between Socrates and Plato's brother Glaucon. In the parable, prisoners are chained so that they can face in only one direction, toward a blank wall illuminated by a huge fire behind the prisoners. As events take place between the fire and the prisoners' backs, they see only the shadows and eventually accept the shadows as reality. Eisenbud's lecture asked how much of a higher-dimensional object can be reconstructed from its projection onto lower dimensions. Such questions are important not only in geometry but also in data analysis and elsewhere. d2c66b5586