Accession Number:

ADA582773

Title:

Geometry, Representation Theory, and the Langlands Program

Descriptive Note:

Final rept. 16 Jun 2008-31 Sep 2012

Corporate Author:

NORTHWESTERN UNIV EVANSTON IL

Personal Author(s):

• Vilonen, Kari

Report Date:

2013-04-01

Pagination or Media Count:

9.0

Abstract:

Schmid and Vilonen have mostly carried out the program of determining the Unitary dual of reductive Lie groups using Hodge theory. Kashiwara and Vilonen solved a long standing conjecture on the microlocal structure of holonomic systems of differential equations, the codimension-three conjecture. Bezrukavnikov has carried out a far reaching generalization of Kazhdan-Lustzig combinatorics to a categorical level. Emerton has made fundamental progress in the p-adic Langlands program by proving a strong local-global compatibility.

Descriptors:

• *GEOMETRY
• LIE GROUPS

Subject Categories:

• Numerical Mathematics
• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE