Speaker: Prof. Ravindra Bapat, Indian Statistical Institute, New Delhi
Date and Time: 04/04/2018 (Wednesday) at 4:00 PM
Venue: MZ 195, Committee Room, Department of Mathematics
Title: Cayley-Hamilton Theorem: Proof Techniques and Extensions
Abstract: Cayley-Hamilton Theorem is a well-known result in linear algebra, usually covered in a first course. We survey the history of this result and outline various proof techniques that have been used. Straubing gave a graph-theoretic proof of the Cayley-Hamilton Theorem. A readable exposition of the proof was given by Zeilberger. We describe this proof. We then turn to recent joint work with Souvik Roy where we have used the same technique to obtain an extension of the Cayley-Hamilton Theorem to mixed discriminants.