Spring theory

Spring 2017 Homotopy Theory Seminar

Today, Nicky spoke on a few approaches to higher K-theory. Let C be a pointed ∞-category with finite colimits (as in Lurie’s approach) or a category with cofibrations and weak equivalences satisfying certain axioms (as in Waldhausen’s approach). Recall that K0(C) was defined to be the free abelian group on isomorphism classes of objects of C modulo [X] = [X′] + [X′′] whenever we have a pushout ...

LTCC course on Potential Theory , Spring 2012

The four lectures follow closely a textbook on Potential Theory in the Complex Plane by T. Ransford, apart from material on harmonic measure which has been borrowed from a lecture course Introduction to Potential Theory with Applications, by C. Kuehn. The material in lecture 5 is borrowed from a survey Logarithmic Potential Theory with Applications to Approximation Theory by E. B. Saff (E-print...

BTRY 4090: Spring 2009 Theory of Statistics

In information retrieval, documents(or images) are represented as vectors and the whole repository is represented as a matrix. Some similarity, distance and norm measurements between documents(or images) involve matrix computation. The challenge is the matrix may be too large to store, and compute. The idea is to reduce the matrix size while at the same time preserves characteristics such as Eu...

Math 167, Game Theory, Spring 2016

These notes closely follow the book of Yuval Peres, available here.

Physics 391 Spring 2017 Quantum Field Theory