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SUMMARY:Osama Khlaif: Defects for Schubert classes in partial flag manifol
 ds
DTSTART:20251125T093000Z
DTEND:20251125T103000Z
DTSTAMP:20260522T062000Z
UID:indico-event-15155@indico.math.cnrs.fr
DESCRIPTION:In this talk\, I will discuss the correspondence between 3d ga
 uge theory and quantum K-theory. This is a 3d uplift of the well-known rel
 ation between 2d gauged linear sigma models (GLSMs) with target variety X 
 (a.k.a the Higgs branch) and the quantum cohomology of X. One way to state
  this correspondence is the following: half-BPS line operators (e.g. Wilso
 n lines) are in one-to-one correspondence with coherent sheaves (e.g. vect
 or bundles) on the Higgs branch. In this talk\, after reviewing these corr
 espondences in general\, I will focus on the case where X is a partial fla
 g manifold. For a special choice of basis of the K-theory ring of X\, I wi
 ll show how one can construct the corresponding set of half-BPS line opera
 tors on the gauge theory side. I will also show how\, using earlier result
 s from supersymmetric localization\, one can work out the explicit relatio
 ns of the quantum K-theory ring of the partial flag manifold. This is base
 d on work with Wei Gu\, Cyril Closset\, Eric Sharpe\, Hao Zhang\, and Hao 
 Zou..\n\nhttps://indico.math.cnrs.fr/event/15155/
URL:https://indico.math.cnrs.fr/event/15155/
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