Event

Talk
Membrane topology and matrix regularization
Dr. Hidehiko Shimada
24 Apr 2006, 15:30 – 16:30

The most successful proposal for formulation of M theory, the matrix model of M theory, can be considered as a regularised version of membrane theory. The regularisation procedure, known as the matrix regularisation, turns functions defined on membranes into N x N matrices. In this talk I will discuss some aspects of membrane topology in the matrix regularisation. It will be shown that the information of Morse theoretic information anifests itself in the eigenvalue distribution of a single matrix. Understanding how topology is reflected in the eigenvalues then enables us to write down a new geometric rule to translate functions into matrices. Finally I will briefly touch on some results of the recent work with Arnlind, Bordemann, Hofer, Hoppe from these viewpoints.

Related to:

• Hidehiko Shimada