BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Nikhil Srivastava (UC Berkeley)
DTSTART:20210609T183000Z
DTEND:20210609T191500Z
DTSTAMP:20260423T004515Z
UID:Opalg21/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Opalg21/11/"
 >Quantitative Diagonalizability</a>\nby Nikhil Srivastava (UC Berkeley) as
  part of Conference on operator algebras and related topics in Istanbul\, 
 2021\n\n\nAbstract\nA diagonalizable matrix has linearly independent eigen
 vectors. Since the set of non diagonalizable matrices has measure zero\, e
 very matrix is a limit of diagonalizable matrices. We prove a quantitative
  version of this fact: every n x n complex matrix is within distance delta
  in the operator norm of a matrix whose eigenvectors have condition number
  poly(n)/delta\, confirming a conjecture of E. B. Davies. The proof is bas
 ed adding a complex Gaussian perturbation to the matrix and studying its p
 seudospectrum. Joint work with J. Banks\, A. Kulkarni\, S. Mukherjee\n
LOCATION:https://researchseminars.org/talk/Opalg21/11/
END:VEVENT
END:VCALENDAR