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SUMMARY:Linhui Shen (Michigan State University)
DTSTART:20210106T000000Z
DTEND:20210106T010000Z
DTSTAMP:20260423T005710Z
UID:LCM2021/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LCM2021/13/"
 >An introduction to cluster algebras I</a>\nby Linhui Shen (Michigan State
  University) as part of Legendrians\, Cluster algebras\, and Mirror symmet
 ry\n\nLecture held in POSTECH\, Pohang\, Republic of Korea.\n\nAbstract\nC
 luster algebras are commutative algebras equipped with remarkable combinat
 orial structures. Since its inception in 2000\, the theory of cluster alge
 bras has found numerous exciting applications in mathematics and physics. 
 This series of lectures aim to provide an accessible introduction to clust
 er algebras for a general mathematical audience. In particular\, we will i
 nvestigate the following topics.\n\nLecture 1: Cluster algebras of rank 2:
  positive Laurent Phenomenon and greedy bases $\\newline$\nThis lecture wi
 ll focus on cluster algebras of rank 2. Using elementary combinatorial too
 ls\, we will prove the positive Laurent Phenomenon and construct greedy ba
 ses for cluster algebras of rank 2.\n
LOCATION:https://researchseminars.org/talk/LCM2021/13/
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