The Jurassic Park of abelian functions

04/26/2011 - 12:15pm
04/26/2011 - 1:10pm
Yaacov Kopeliovich (MEAG NY)

The theory of abelian functions is not the most popular mathematical field these days. This is partially because mathematics is not standing still, it evolves in mysterious ways where new fields replace old fields, but it is also because this subject was inherently hard with many formulas and relations between the functions themselves. One can speak about a Jurassic Park of such relations in which you can get invariably lost if you do not have a guide or a compass. In this talk I will make an introduction to the field and guide you some of its corners. For this I will use a favorite example of mine to show how representation theory of symmetric groups can be used as a possible compass for some parts of the park.

Millikan 208 (Pomona College)