Reduction of Polarizations

Abstract: A polarization on a symplectic manifold $(M,\omega)$ is an involutive complex Lagrangian subbundle $P$ of the complexified tangent bundle $T^\mathbb{C} M$. Kähler structures are special cases of polarizations which intersect their complex conjugates trivially. Much work has been done discussing how Kähler structures behave under symplectic reduction, with only partial results for the reduction of more general polarizations. In this talk, I will discuss the reduction of polarizations and also extend to the setting of singular reduction explored by Sjamaar-Lerman.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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