Mihnea Popa Office: Lunt 226 Tel: 8474915576 email: mpopa@math.northwestern.edu URL: www.math.northwestern.edu/~mpopa 

Brief course description: Here are some of the new topics that we will discuss this quarter: more on holonomic and regular Dmodules; the rationality of the roots of BernsteinSato polynomial, and the more precise relationship between these roots and invariants in birational geometry; the analytic continuation of the archimedean zeta functions via BernsteinSato polynomials; the connection between multiplier ideals in complex geometry and the Vfiltration; more on holonomic and regular Dmodules; filtered Dmodules and de Rham complexes; first steps towards understanding the Hodge filtration on mixed Hodge modules Notes will be posted occasionally. 