A non-random walk through partitions of integers and sets
When: | Thursday, 27 September 2018 - Thursday, 27 September 2018 |
Where: | Braamfontein Campus East Senate Room, 2nd Floor, Solomon Mahlangu House, Braamfontein Campus East |
Start time: | 18:00 |
Enquiries: |
Professor Augustine Munagi will present his inaugural lecture.
Whenever a finite set of distinct objects splits into subsets in which only the size of each subset is of significance, the object of interest is a partition of the integer cardinality. The ramifications of this relationship between integer partitions and set partitions is ubiquitous in number theory and combinatorics, with applications in statistical mechanics, group representation theory, molecular chemistry and vertex colouring of planar graphs, to name just a few. This lecture will trace a selective path of recent discoveries under the two themes.
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