Shimura
varieties and transcendence
– A
variation of Kronecker's "Jugendtraum"
Abstract
The
Abel-Ruffini published in 1823 says that a general
irreducible algebraic equation of degree at least five over a number field
cannot be solved by radicals. Therefore one can not generate number fields by
radicals in general. Kronecker’s Jugendtraum
deals with the question whether this can be done with special functions like
modular functions and other interesting functions. We shall discuss the general
problem, give examples, and relate the problem in a special case to
transcendence and to the Andre-Oort conjecture
on special points on Shimura varieties.
Date: |
|
Time: |
|
Place: |
Room 517, Meng Wah Complex, HKU |
|
All are welcome |
|