Patrick Naylor, Department of Pure Mathematics, University of Waterloo
“Localization, continued again”
We will describe a correspondence of ideals of R with ideals of the ring of fractions Q(R) in the case where R is noetherian. There will also be examples.
MC 5403
Chris Dodd, Perimeter Institute
“Quantization, reduction mod p, and automorphisms of the Weyl algebra”
Javad Mashreghi, Pure Math Department Visitor from University of Laval
“The capacity of generalized Cantor sets”
Michael Deveau, Department of Pure Mathematics, University of Waterloo
“Relative Randomness and van Lambalgen’s Theorem - Part 3”
We have now seen that van Lambalgen’s Theorem holds, so we begin with a short discussion of two interesting corollaries. We then turn our attention toward some other related results: how relative ML-randomness can enforce a generalized notion of lowness and how c.e. sets interact with ML-random sets.
Jonas Azzam, Universitat Autonoma de Barcelona
"Multiscale analysis of rectifiable sets"
Ross Willard, Department of Pure Mathematics, University of Waterloo
“Finite atomistic directly indecomposable modular lattices and finite projective geometries”
Akshaa Vatwani, Queen’s University
“A higher rank Selberg sieve and applications”
We present a general higher rank Selberg sieve and apply it to various questions in number theory. In particular, we improve upon a result of Heath-Brown on almost prime k-tuples. This is joint work with Professor Ram Murty.
MC 5479
Kate Juschenko, Northwestern University
Xi Chen, University of Alberta
“Xiaos Conjecture on Canonically Fibered Surfaces”
In 1988, Gang Xiao proposed a list of open problems on algebraic surfaces. Many of these remain open to this day. One of the problems concerns the maximal relative genus of a canonically fibered surface. In this talk, I will talk about my proof of this conjecture.
MC 5403
Timothy Rainone, Department of Pure Mathematics, University of Waterloo
“Noncommutative Dynamics and Finiteness in C*-Crossed Products”