Previous Conferences & Workshops

Sep
27
2007

Joint IAS/Princeton University Number Theory Seminar

Hilbert Modular Generating Series with Coefficients in Intersection Homology
J. Getz
4:30pm|Fine Hall 214, Princeton University

In a seminal Inventiones 1976 paper, Hirzebruch and Zagier produced a set of cycles on certain Hilbert modular surfaces whose intersection numbers are the Fourier coefficients of elliptic modular forms with nebentypus. Their result can be viewed as...

Sep
25
2007

Special Logic/Number Theory Seminar

How the Schanuel and Andre Conjectures Affect Logical Questions About the Real and Complex Exponentials and the Weierstrass Elliptic Functions
A. MacIntyre
4:00pm|S-101

The logical questions concern algorithms for testing solvability of equations (and more generally truth of first-order sentences), and have positive answers for the real exponential and the Weierstrass functions (assuming respectively the Schanuel...

Sep
25
2007

Arithmetic Combinatorics

Applications of Quadratic Fourier Analysis
Tim Gowers
2:00pm|S-101

An important theme in arithmetic combinatorics, which is closely related to the ergodic-theoretic project of understanding characteristic factors, is higher-order Fourier analysis. It has been well known for a long time that various norms defined in...

Sep
25
2007

Computer Science/Discrete Mathematics Seminar II

Hardness of Solving Sparse Overdetermined Linear Systems
10:30am|S-101

Solving a system of linear equations is a fundamental algorithmic task arising in numerous applications. It is possible to tell in polynomial time, by Gaussian elimination, if a given system admits a solution, and if so to find one. But what if the...