The birth of geometric discrepancy theory is usually attributed to the fundamental work of Klaus Roth in 1954. The present scope of the subject is due in no small part to the many important results of Wolfgang Schmidt in the 1960s and 1970s. It is fair to say that every subsequent worker in the subject have been motivated and encouraged, directly or indirectly, by these two pioneers and their work. Lower bound results in discrepancy theory exhibit the limitations to just point distributions, whereas upper bound results lead to point distributions that are close to best possible under such limitations. In this expository talk, we shall discuss some of the main results obtained over the last 60 years, and introduce to the audience a number of lower and upper bound techniques. We shall also briefly discuss some open questions.
A quick tour of discrepancy theory
Sep. 23, 2014 12:10pm (MATH …
Kempner
Gerard Misiolek (Notre Dame)
X
I will describe some recent results on local ill-posedness (in the sense of Hadamard) of the Cauchy problem for the incompressible Euler equations of hydrodynamics.
We continue our introductory lectures on groupoids. In this lecture, we will introduce left Haar systems, and hopefully will discuss C*-algebras associated to locally compact groupoids having a left Haar system.
Introduction to Groupoids, Part 3 Sponsored by the Meyer Fund
Sep. 23, 2014 2pm (MATH 350)
Lie Theory
Nat Thiem (CU)
X
In this series of two talks, the goal is to study combinatorial realizations of representations induced from unipotent subgroups. The first talk will build a combinatorial framework for the representations of the finite general linear groups via symmetric functions. The goal is to have a setting where representations have a pleasing combinatorial existence even without knowing the algebraic underpinnings. The second talk will then find the induced characters of unipotent groups in this combinatorial setting. This is joint work with S. Andrews.
The combinatorial representation theory of the finite general linear groups
Sep. 23, 2014 11pm (Math 220)
Noncomm Geometry
Alexander Gorokhovsky Introduction to cyclic (co)homology (contd.)
A quick tour of discrepancy theory