CDM 2002: Current Developments in Mathematics

in Honor of Wilfried Schmid & George Lusztig

Price: $65

ISBN: 1-57146-102-7

Binding: Hardcover

Page Number: 289

Year Published: 2003

Editors:

David Jerison, George Lustig, Barry Mazur, Tom Mrowka, Wilfried Schmid, Richard Stanley &

S.-T. Yau

These are the proceedings of the joint seminar by M.LT. and Harvard on the current

Developments in mathematics for the year 2002. Established in 1995, this seminar has

been continued on the third weekend of November every year. The organizing committee

for the seminar consisted of distinguished mathematicians from the mathematics departments of both institutions: Barry Mazur, Wilfried Schmid, and S.T. Yau from Harvard, and David

Jerison, TomMrowka, and Richard Stanley from M.LT. This year, the seminar was dedicated to Prof. Wilfried Schmid and Prof. George Lusztig.

The 2002 speakers included Albert Bressan, Mark Haiman, Richard Hain, Stephen Kudla,

Yair Minsky, John Morgan, Leslie Saper, Kari Vilonen, and David Vogan.

We would like to thank each of the contributors: without their participations, the seminar would not have been possible. We trust that these proceedings will be of interest to many mathematicians. And we hope that many of you will be able to join us for future seminars.

Contents

• One Dimensional Hyperbolic Systems of Conservation Laws - Alberto Bressan .1
• Combinatorics, symmetric functions and Hilbert schemes - Mark Haiman .39
• Periods of Limit Mixed Hodge Structures - Richard Hain 113
• Modular forms and arithmetic geometry - Stephen S. Kudla 135
• End Invariants and the Classification of Hyperbolic 3-Manifolds - Yair N. Minsky . 181
• On the Cohomology of Locally Symmetric Spaces and of their Compactifications - Leslie Saper. 219