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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Pictures and Picture Groups\, Lecture II\, More on
Picture Groups for Valued Quivers &\; Cubical
Structures of Cluster Morphism Categories - Gordan
a Todorov (Northeastern University)
DTSTART;TZID=Europe/London:20211124T150000
DTEND;TZID=Europe/London:20211124T160000
UID:TALK165232AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/165232
DESCRIPTION:\n\n\nPart 1: Let Q be a valued quiver. We already
defined the picture LQ and the picture group G0(L
Q). I will point out a few more facts about semi-i
nvariant pictures and picture groups for valued (a
nd modulated) quivers. This was in- spired by Tomo
ki Nakanishi&rsquo\;s comment about picture groups
for valued quivers.\nPart 2: The original motivat
ion for introducing Cluster Morphism Categories wa
s to obtain cubical categories (with an additional
structure &ldquo\;locally CAT(0)&rdquo\;) which w
as used to prove that the picture space is a K(&pi
\;\, 1) for the picture group\, which was an impor
tant step for computing homology of picture groups
. The notion of Cluster Morphism Category was beau
tifully generalized by Aslak Buan and Bethany Mars
h and we already heard their talks. Also\, Eric Ha
nson showed that the Picture space for Nakayama al
gebras is a K(&pi\;\,1). It would be good to know
which of the spaces are K(&pi\;\,1) for Picture gr
oups of algebras which are not hereditary of finit
e type.\n\n\n
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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