Local Correction of Codes and Euclidean Incidence Geometry

Members Seminar
Topic:Local Correction of Codes and Euclidean Incidence Geometry
Speaker:Avi Wigderson
Affiliation:Herbert H. Maass Professor, School of Mathematics
Date:Monday, March 5
Time/Room:2:00pm - 3:00pm/S-101

A classical theorem in Euclidean geometry asserts that if a set of points has the property that every line through two of them contains a third point, then they must all be on the same line. We prove several approximate versions of this theorem (and related ones), which are motivated from questions about locally correctable codes and matrix rigidity. The proofs use an interesting combination of combinatorial, algebraic and analytic tools. Joint work with Boaz Barak, Zeev Dvir and Amir Yehudayoff