Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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Let k be a global function eld whose eld of constants is the nite eld Fq. Let 1 be a xed place of degree one, and A is the ring of elements of k which have only 1 as a pole. Let be a sgn-normalized rank one Drinfeld A-module dened over O, the integral closure of A in the Hilbert class eld of A. We prove an analogue of a conjecture of Erd}os and Pomerance for '.
We will continue covering the background required to get stuck in to Milnor’s Morse Theory. We will finish talking about CW-complexes and then cover smooth manifolds, tangent spaces and smooth functions between manifolds. With a bit of luck we will get through some of the basic definitions of Morse Theory. Come along if you dare!
Gromov’s theorem states that a finitely generated group of polynomially bounded growth has a nilpotent subgroup of finite index. I hope to give a complete proof of Gromov’s theorem over a few lectures. The first lecture is intended to be accessible to a beginning graduate student and will give the basic background needed along with an overview of the main steps of the proof.
We present products and Morley sequences of invariant types, and give an application to denable groups.
We investigate non-degenerate Lagrangians of the form
f(ux,uy,ut)dxdydt
We derive a projection analog of the usual continuous functional calculus and show how it can be used to simplify and strengthen a number of classical results about projections in C*-algebras, particularly those of real rank zero.
Alexandr Kazda showed in 2010 that Maltsev digraphs have a majority polymorphism. Coincidently, the paper in which the proof appeared has the same title as this talk. I will present the proof.
This is the first session of a new learning seminar in geometry and topology. The plan is to work through Milnor's Morse Theory. This first talk will be covering some background in topology to set us up to start attacking the book. Join us!
We discuss invariant, definable, and finitely satisfiable types in theories with NIP.
In this talk, we will begin with the classical Waring problem to outline the circle method, which includes a simple application of Vinogradov’s mean value theorem for minor arc esimates. We will also introduce more general Vinogradov-type estimates and their analogues in function fields.
Re-scheduled seminar from January 31, 2013.
Speakers:
Ian Payne - Pure Mathematics
Georg Osang - Combinatorics & Optimization
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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