Mar 13 2013

### What is Special About Polynomials? (Perspectives from Coding theory and Differential Geometry)

Speaker: Larry Guth

2:00pm | S-101
Polynomials are a special class of functions. They are useful in many branches of mathematics, often in problems which don't mention polynomials. We discuss two examples: polynomials in error-correcting codes and polynomials in geometric inequalities. The special...

Mar 12 2013

### Unexpected Applications of Polynomials in Combinatorics

Speaker: Larry Guth

2:00pm | S-101
In 2007, Zeev Dvir shocked experts by giving a one-page proof of the finite field Kakeya problem. The new idea in the proof was to introduce high degree polynomials into a problem about points and lines. This idea has led to progress on several problems of combinatorial...

Mar 21 2007

### Equivariant Cohomology in Algebraic Geometry

Speaker: William Fulton

3:00pm | S-101
Although equivariant cohomology originated -- at this Institute -- nearly half a century ago, only much more recently has it become an active area of algebraic geometry. The equivariant cohomology rings of simple algebraic varieties such as Grassmannians, flag varieties, and...

Mar 20 2007

### Equivariant Cohomology in Algebraic Geometry

Speaker: William Fulton

3:00pm | S-101
Although equivariant cohomology originated -- at this Institute -- nearly half a century ago, only much more recently has it become an active area of algebraic geometry. The equivariant cohomology rings of simple algebraic varieties such as Grassmannians, flag varieties, and...

Mar 19 2007

### Equivariant Cohomology in Algebraic Geometry

Speaker: William Fulton

3:00pm | S-101
Although equivariant cohomology originated -- at this Institute -- nearly half a century ago, only much more recently has it become an active area of algebraic geometry. The equivariant cohomology rings of simple algebraic varieties such as Grassmannians, flag varieties, and...

Mar 28 2006

### Rigid Actions on Homogeneous Spaces and Applications

Speaker: Marina Ratner

2:00pm | S-101
Mar 27 2006

### Rigid Actions on Homogeneous Spaces and Applications

Speaker: Marina Ratner

2:00pm | S-101
During the last 10 years the results and ideas from my work on unipotent flows have been widely used and applied to various problems arising from number theory, spectral theory, ergodic theory, the theory of elliptic curves, moduli spaces, dynamics, etc In view of this it...