Saturday April 24th, 2021 | |
| Contact Name: | Akito Futaki, Yau Center, Tsinghua University |
| Details: | |
| A star product is a non-commutative product on the set of formal functions, i.e. formal power series with coefficients in smooth functions. Giving a star product is called deformation quantization. The trace of a star product is an algebra character from the non-commutative algebra of formal functions into the abelian algebra of formal constants. The trace is expressed as an $L^2$ product with a function called the trace density. A star product is said to be closed if the trace density is constant, i.e. the trace is given by the integration. In this talk, we discuss on obstructions to the existence of closed star product as in the similar spirit of Kähler geometry. http://www.math.stonybrook.edu/geomfest/ | |