REU Number Theory Program
University of Illinois
June 10 - August 2, 2002

Weekly Schedule, Week 4: July 1 - July 5

1 pm - 2 pm, 243 AH: Number Theory Seminar: Prof. Bruce Berndt, Cranks in Ramanujan's Lost Notebook
Abstract: The existence of the crank was first hypothesized by Freeman Dyson. It was discovered some years later on June 6, 1987 at a residence hall at the University of Illinois by George Andrews and Frank Garvan. In fact, the generating function for the crank and several of its propertities can be found in Ramanujan's lost lotebook: many of these questions remain unresolved. We will give an expository talk on the meaning of the crank, its connections with partitions, the aforementioned entries in the lost notebook, and why Ramanujan was keenly interested in its connections with partitions, which are (apparently) different from those of Dyson, Andrews, and Garvan.
2 pm - 3 pm, 159 AH: Group meeting

1 pm - 2 pm, 159 AH: REU Number Theory Seminar: Professor Scott Ahlgren, Three term recurrences for the coefficients of infinite products
2 pm - 3 pm, 159 AH: Jeremy Rouse, Introduction to Maple

Fourth of July holiday.

Day after Fourth of July. No meetings.

Last modified: Thu 11 Jul 2002 08:28:01 AM CDT ajh@uiuc.edu