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SUMMARY:Ian Le (The Australian National University)
DTSTART:20230315T070000Z
DTEND:20230315T083000Z
DTSTAMP:20260422T155159Z
UID:HKUST-AG/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/3/"
 >Cluster structures on braid varieties</a>\nby Ian Le (The Australian Nati
 onal University) as part of Algebra and Geometry Seminar @ HKUST\n\nLectur
 e held in 4621.\n\nAbstract\nMany varieties in Lie theory--partial flag va
 rieties\, Schubert varieties\, moduli of local systems on surfaces--admit 
 cluster structures\, which give a combinatorial way of encoding quantum de
 formations of these varieties. Braid varieties give a unifying framework f
 or constructing these cluster structures. I will start by defining braid v
 arieties and give some motivations coming from knot homology and mirror sy
 mmetry. Then I will introduce the main tool\, Legendrian weaves\, which al
 low us to construct clusters in a concrete and diagrammatic way. The diagr
 ams will be familiar to anyone who has seen Soergel calculus. This is join
 t work with Roger Casals\, Eugene Gorsky\, Mikhail Gorsky\, Linhui Shen an
 d Jose Simental.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/3/
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