Geometry Seminar

 

Shimura varieties and transcendence
– A variation of Kronecker's "Jugendtraum"

 

Professor G. Wüstholz
Eidgenössische TH Zürich-Zentrum, Switzerland
& HKUST, Hong Kong

 

 

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:

May 11, 2006 (Thursday)

Time:

4:15 – 5:15pm

Place:

Room 517, Meng Wah Complex, HKU

 

 

All are welcome