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VERSION:2.0
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BEGIN:VEVENT
UID:calendarize-os-reelle-geometrie-und-algebra-linear-spaces-of-matrices-
of-bounded-rank
DTSTAMP:20230922T185202Z
DTSTART:20230609T113000Z
DTEND:20230609T130000Z
SUMMARY:OS Reelle Geometrie und Algebra: Linear spaces of matrices of boun
ded rank
DESCRIPTION:A classical problem in linear algebra is to determine the line
ar subspaces of the space of mxm matrices such that every matrix in the sp
ace has rank less than m. Let r be the maximum rank of a matrix in such a
space. Such spaces were classified for r at most three in the 1980's but a
lready for r=4\, not only was there no classification\, but no non-classic
al example of such a space was known. I will describe recent progress on t
his question. The progress uses tools from classical linear algebra\, alge
braic geometry and commutative algebra. As time permits\, I will explain t
he motivations for this project from complexity theory and quantum informa
tion theory. This is joint work with Hang Huang.
X-ALT-DESC;FMTTYPE=text/html:A classical problem in linear algebra is t
o determine the linear subspaces of the space of mxm matrices such that ev
ery matrix in the space has rank less than m. Let r be the maximum rank of
a matrix in such a space. Such spaces were classified for r at most three
in the 1980's but already for r=4\, not only was there no classification\
, but no non-classical example of such a space was known. I will describe
recent progress on this question. The progress uses tools from classical l
inear algebra\, algebraic geometry and commutative algebra. As time permit
s\, I will explain the motivations for this project from complexity theory
and quantum information theory. This is joint work with Hang Huang.

LOCATION:F426
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END:VCALENDAR