Stein Manifold Seminar - Emmy Murphy

Event Date: 

Thursday, January 15, 2015 -
2:30pm to 3:30pm

Event Location: 

  • 6635 South Hall

Event Price: 

Free

Event Contact: 

Sean Fraer

Email: seanfr@microsoft.com

Phone: 805-893-8818

  • Q Seminar

A Stein manifold can be defined as complex manifold which admits a proper holomorphic embedding into C^n and their study lies at the intersection of complex analysis, symplectic geometry, and algebraic geometry (any smooth affine variety is a Stein manifold). New techniques in symplectic flexibility have given partial classification results of Stein manifolds up to analytic deformation. We present this result and a couple interesting consequences. We then discuss how overtwisted contact structures help us to extend the results to Stein cobordisms, and why these two perspectives are somewhat incompatible.