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SUMMARY:Daping Weng (Michigan State University)
DTSTART:20210108T020000Z
DTEND:20210108T030000Z
DTSTAMP:20260423T005648Z
UID:LCM2021/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LCM2021/22/"
 >Examples of cluster varieties from plabic graphs IV</a>\nby Daping Weng (
 Michigan State University) as part of Legendrians\, Cluster algebras\, and
  Mirror symmetry\n\nLecture held in POSTECH\, Pohang\, Republic of Korea.\
 n\nAbstract\nCluster varieties were introduced by Fock and Goncharov as ge
 ometric counterparts of Fomin and Zelevinsky’s cluster algebras. Simply 
 speaking\, cluster varieties are algebraic varieties with an atlas of toru
 s charts\, whose transition maps are captured by certain combinatorial pro
 cess called cluster mutations. Many interesting geometric objects turn out
  to be examples of cluster varieties\, and one can then use cluster theore
 tical techniques to study these geometric objects. In this lecture series\
 , we will discuss various examples of cluster varieties whose combinatoric
 s can be captured by plabic graphs\, including Grassmannians and double Br
 uhat/Bott-Samelson cells of $SL_n$. This lecture series will be complement
 ary to Linhui Shen’s lecture series on cluster theory.\n\nLecture 4: dou
 ble Bott-Samelson cells of $SL_n$ and positive braid closures $\\newline$\
 nWe introduce double Bott-Samelson cells of $SL_n$ as a generalization of 
 double Bruhat cells. We will describe their cluster structures and the con
 nection to positive braid closures.\n
LOCATION:https://researchseminars.org/talk/LCM2021/22/
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