BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Harm Derksen (Northeastern University)
DTSTART:20210422T185000Z
DTEND:20210422T195000Z
DTSTAMP:20260423T010005Z
UID:GPRTatNU/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/24/
 ">The G-Stable Rank for Tensors</a>\nby Harm Derksen (Northeastern Univers
 ity) as part of Geometry\, Physics\, and Representation Theory Seminar\n\n
 \nAbstract\nThe rank of a matrix can be generalized to tensors. In fact\, 
 there are many different rank notions for tensors that all coincide for ma
 trices\, such as the tensor rank\, border rank\, subrank and slice rank (a
 nd asymptotic versions of each of these). In this talk I will discuss two 
 notions of rank that are closely related to Geometric Invariant Theory\, t
 he non-commutative rank and the G-stable rank. The non-commutative rank ca
 n be used for giving lower bounds for tensor rank and border rank. The G-s
 table rank was recently used by my graduate student Zhi Jiang to improve t
 he asymptotic upper bounds of Ellenberg and Gijswijt for the Cap Set Probl
 em.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/24/
END:VEVENT
END:VCALENDAR