Mathematics Graduate Student Colloquium

MGSC Website: http://math.uci.edu/~mgsc/

Deformation Quantization of Vector Bundles on Lagrangian Subvarieties

Taiji Chen
Wednesday, May 27, 2015
4:30 pm - 5:20 pm
RH440R

Talk Abstract:

We give a necessary and sufficient condition for a line bundle to be supported on a smooth Lagrangian subvariety of an algebraic symplectic variety. This uses the method of formal geometry, involving formal power series with a non-commutative product. We try to generalize this result to vector bundles by using the language of Maurer-Cartan space, which is a generalization of Lie algebra cohomology.

About the Speaker:

Taiji received his Bachelor's degree in Mathematics from the Capital Normal University in China, and now he is working on algebraic geometry, under the guidance of Professor V. Baranovsky. In his free time, Taiji enjoys playing violin and studying music theory by using mathematics.

Refreshments:

Pizza will be served after the talk.