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Algebra & Combinatorics Seminar

Title: Density: How Zariski helped Schur, Cayley, and Hamilton
Speaker: Apoorva Khare (IISc Mathematics)
Date: 23 August 2019
Time: 3 pm
Venue: LH-1, Mathematics Department

Computing the determinant using the Schur complement of an invertible minor is well-known to undergraduates. Perhaps less well-known is why this works even when the minor is not invertible. Using this and the Cayley–Hamilton theorem as illustrative examples, I will gently explain one “practical” usefulness of Zariski density outside commutative algebra.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 26 Sep 2023