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Partitions and Fock space
Student-Run Discrete Math Seminar| Speaker: | Peter Tingley, MIT |
| Location: | 2112 MSB |
| Start time: | Thu, Jan 7 2010, 5:10PM |
Fock space is an infinite dimensional vector space which is a representation of several important algebras, including a Clifford algebra, a Weyl algebra, and various Kac-Moody algebras. It has a natural basis indexed by charged partitions, and the relationships between the various algebras lead to some nice results. I will explain this story with some examples, and hopefully convince you that Fock space is an important object. This is designed to motivate my talk on Friday, where we will discuss a relationship between a deformation of Fock space and the representation theory of the quantum group associated with gl(N). Depending on people's interest, I can also give some background on this quantum group. This will be an informal talk, so come prepared to ask questions!