## Lethbridge Number Theory and Combinatorics Seminar: Soroosh Yazdani

• Date: 11/21/2014
• Time: 12:00
Lecturer(s):
Location:

University of Lethbridge

Topic:

Belyi maps and Diophantine Equations

Description:

In 1979 G. Belyi proved that given any smooth curve $C$ over any number field, there is map $\beta:C \rightarrow \mathbb{P}^1$ such that $\beta$ is unramified outside of three points. This is particularly striking since Belyi's theorem is not true over complex numbers, and hence it is an arithmetic result as much as it is a geometric result. In this talk I will give a brief explanation for the proof of this theorem and explain how this theorem can be used to relate arithmetic geometry problems to the ABC conjecture.

Other Information:
Location: B660 University Hall
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/
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