XXXVI Workshop on Geometric Methods in Physics 2-8.07.2017
VI School on Geometry and Physics 26-30.06.2017

Nikolai Tyurin

Special Bohr - Sommerfeld geometry: from Geometric Quantization to Mirror Symmetry

Bohr - Sommerfeld condition on lagrangian submanifolds and cycles in compact symplectic manifolds with integer symplectic forms has been used in several approaches to Geometric Quantization problem. We propose a new speciality condition on Bohr - Sommerfeld lagrangian cycles and show how these special Bohr - Sommerfeld lagrangian cycles can be exploited in the problem. On the other hand
this new condition is extremely interesting been applied to algebraic varieties. F.e. for certain ample divisors in algebraic varieties one can construct almost canonically "lagrangian shadows" of these divisors.

Event sponsored by:
Centre de recherches mathématiques          University
of Bialystok
University of Bialystok

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