By
Abstract: The resolution of
Calabi's Conjecture by S.-T. Yau in 1977 is considered to be one of the
crowning achievements in mathematics in 20th century. Although the statement of
the conjecture is very geometric, Yau's proof involves solving a non-linear
second order elliptic PDE known as the complex Monge-Ampere equation.
An immediate consequence of the conjecture is the existence of Kähler-Einstein
metrics on compact Kähler manifolds with vanishing first Chern class (better
known as Calabi-Yau Manifolds).
In this expository talk, I will start with
the basic definitions and facts from geometry to understand the statement of
the conjecture, then I will show how to turn it into a PDE problem, and finally
I will highlight the important steps in Yau's proof.
Date: Wednesday, May
21, 2014
Time: 15:40
Place: Mathematics Seminar Room,
SA-141
All are most cordially invited.
Tea and biscuits: after the seminar