Previous Conferences & Workshops

Sep
27
2006

Complex Algebraic Geometry

Polarized Logarithmic Hodge Structures and Enlargements of Griffiths Domain
Sampei Usui
2:00pm|Simonyi Hall Classroom - (S-114)

In this talk, we have two subjects. I. Partial toroidal compactifications and moduli of PLH. II. The eight enlargements of Griffiths domain D and the fundamental diagram. For I, we have Theorem. For a given pair of global monodromy and fan, there...

Sep
26
2006

Computer Science/Discrete Mathematics Seminar II

Sum-Product Theorem in Finite Fields (Continued)
10:30am|S-101

While a continuation of last week's lecture, I'll try to make it self contained. I will describe some of the ideas and tools used in the proof of the Sum-Product theorem. I will describe a statistical version, and its use in extractor construction.

Sep
25
2006

Computer Science/Discrete Mathematics Seminar I

Minimum Bounded-Degree Spanning Trees Through Matroid Intersection
Michel Goemans
11:15am|S-101

Consider the minimum cost spanning tree problem under the restriction that all degrees must be at most a given value $k$. The main result I will present is that one can efficiently find a spanning tree of maximum degree at most $k+2$ whose cost is...

Sep
19
2006

Computer Science/Discrete Mathematics Seminar II

The Sum-Product Theorem and Applications
10:30am|S-101

About two years ago Bourgain, Katz and Tao proved that in every finite field, a set which does not grow "much" when we add all pairs of elements, and when we multiply all pairs of elements, must be very "close" to a subfield. This theorem revealed...

Sep
18
2006

Mathematical Physics Seminar

Cardy's Formula for Certain Models of the Bond-Triangular Type
Lincoln Chayes
4:00pm|S-101

A model based on independent bond percolation is defined. It is demonstrated that this model exhibits critical behavior and, at least at the level of Cardy's formula, has the same limiting continuum behavior as the site model.

Sep
01
2006

Algebraic Geometry

12:00am

During the academic year 2006-07, the School of Mathematics had a special program on algebraic geometry. The focus was not on any single aspect, but rather aimed to have many flavors of algebraic geometry and its applications represented, including...

Jul
11
2006

Special Computer Science/Discrete Mathematics Seminar I

The learnability of Quantum States
11:00am|S-101

Using ideas from computational learning theory, I'll show that "for most practical purposes," one can learn a quantum state using a number of measurements that grows only linearly with the number of qubits n. By contrast, traditional quantum state...

May
26
2006

Joint IAS/Princeton University Number Theory Seminar

Modular Units
Amanda Folson
3:00pm|Fine Hall 214, Princeton University

In this talk I will discuss a particular family of modular units constructed using functional solutions to q-difference equations found in the work of Selberg. Arising in this way, these objects are of interest for various analytic properties and...

May
25
2006

2006 Women and Mathematics

Applications of Artin L-Functions: Density of Primes Splitting in a Covering, can you hear the shape of the graph?
10:45am|Simonyi Hall 101

Advanced Course Lecture