## Monday April 11, 2005, 4 PM, Goldsmith 317

### tea at
3:30 PM at the Math Department lounge (Goldsmith 300)

**Speaker**: Oliver Knill (Harvard University)

**Title**: A multivariable Chinese remainder theorem
and Diophantine approximation

**Abstract**:
The problems of counting and constructing lattice points
near a curve or surfaces have relations with dynamical systems
theory as well as number theory. We explain the
relations using a lattice point result which
can be proven with elementary methods and using
the language of dynamical systems. In the multi-dimensional part, the quest
leads to multi-dimensional
Chinese remainder type problems. In a second part of
the talk, we give an informal panorama of some
relations between number theory and dynamical systems.