Holomorphic and polynomial convexity, Stein
manifolds
Coherent analytic sheaves and Cartan Theorems A&B
Real-analytic approximation
Oka-Grauert's h-principle and its generalization by Gromov
A brief review of basic symplectic and contact geometry
Introduction to the h-principle:
h-principle in symplectic geometry.
Pseudo-convex surrounding and construction of holomorphically convex
domains
Construction of Stein structures
Weinstein structures and their symplectic geometry
Stein realization of Weinstein structures
Advanced h-principle results:
Loose Legendrian knots
Flexible Weinstein
structures and Lagrangian caps.
Deformation of Weinstein structures and its applications.
Symplectic pseudo-isotopy.
(If time permits) Symplectic invariants of Weinstein manifolds.
Remarks
Some of the background material for this course will be covered in
the workshop.
To attend Prof. Eliashberg's lectures please send an email to
any member of the organizing committee with
the subject Eliashberg lectures written in the header.*
The organizing committee consists
of V. Balaji (balaji), Dishant M. Pancholi (dishant) and Shiva Shankar (sshankar).
* If you are a student please include your C.V in the e-mail.
The C.V should include the name of at least one
faculty from your institute who is willing to write a reference letter for you.