Theoretical Statistics and Mathematics Unit, ISI Delhi

August 8, 2012 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Neha Hooda,
Indian Statistical Institute, Delhi

Title:
Structure Theory of Algebraic Groups and Galois Cohomology

Abstract of Talk

In the first part of this talk, we will summarize the structure theory of connected
algebraic groups over an algebraically closed field.
The theory over non-algebraically closed fields needs different techniques.
We will introduce Galois cohomology in the second part of the talk and apply
it to obtain new groups from known groups by a technique called "twisting".
This technique gives all forms of an algebraic group defined over a field.
The classification of algebraic groups over non-algebraically closed fields
is largely open and is a very active area of research.