New Solvable Matrix Integrals
  We generalize Harish-Chandra-Itzykson-Zuber and certain other integrals (Gross-Witten integral and integrals over complex matrices) using the notion of tau function of matrix argument. In this case one can reduce the matrix integral to the integral over eigenvalues, which in turn is certain tau function. We also consider a generalization of the Kontsevich integral. 
A. Yu. Orlov