fall09 | math

Fall 09

Math - Fall 09
Written by Anton
Wednesday, 28 October 2009 22:06
I gave a talk at the Working Seminar in Geometry and Analysis a couple of weeks ago and have now written up and posted the notes for the talk. Abstract: A sub-Riemannian manifold models constrained motion through a choice of a "horizontal distribution" on the tangent bundle. The standard denitions of tangent space and the dierential of a smooth map break down in this setting. Following papers by Bellaiche and Ponge, I will discuss the way these notions are replaced by talking about non-abelian vector spaces (Carnot groups) and induced maps between them.

Math - Fall 09
Written by Anton
Monday, 14 September 2009 00:52
Quantum Field Theory: A Tourist Guide for Mathematicians, by Folland. While in Germany, I talked to Herr Professor Doctor Zeppenfield, and he told me that quantum field theory accounts for much of modern physics. So when I saw Folland's book at the library (near a book I was looking for), I was intrigued. Folland says "[the subtitle] is meant to free me and my readers from guilt about omitting various important but technical topics, viewing others from a point of view that physicists may find perverse, ..., and skipping the gruesome details of certain necessary but boring calculations". What can be better?
Read more... [Quantum Field Theory]