Monday Analysis Seminar: Introduction to von Neumann algebras and deformation/rigidity theory

2015-5-25 14:45 - 2015-5-25 16:15
Faculty of Science Buliding #3 Room 210
Yusuke Isono (RIMS Kyoto University)
In this talk, I give an introductory lecture on von Nemann algebras for young students and non-specialists. ``Von Neumann algebra'' is a subalgebra of the algebra of all bounded linear operators on a Hilbert space. The only preliminary knowledge is a basic of functional analysis, more specifically, Banach spaces and Hilbert spaces.

In the first half of the lecture, I focus on fundamental issues on von Neumann algebra theory. I then introduce recent development of von Neumann algebra theory, which is now called ``deformation/rigidity theory''.

In the second half, I talk my recent work on the deformation/rigidity theory. I recently studied tensor products of some von Neumann algebras, which behave like ``prime numbers and prime decomposition''. This is also for non-specialists.