Ross Willard, Department of Pure Mathematics, University of Waterloo
“Fundamentals of finite modular lattices, I.”
Florent Benaych-Georges, University Paris 5
“The Single Ring Theorem”
Sam Kim, Carleton University
“Ultraproduct techniques for tracial von Neumann algebras”
Ehsaan Hossain, University of Waterloo
“Invariant basis number and finiteness”
Chris Schafhauser, Department of Pure Mathematics, University of Waterloo
“Noncommutative localisation”
Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“Basic definitions and examples”
In this talk we will discuss the correspondence between binary quartic forms and elliptic curves. In particular, we will discuss some key ideas behind the seminal paper of Bhargava and Shankar proving that the average rational rank of elliptic curves is bounded.
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“Martin-Lof Randomness and Solovay Tests”
We have seen that the Martin-Lof random real numbers are a reasonably natural notion: they are definable both in terms of Martin-Lof tests and in terms of complexity.
Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“k-free values of binary forms”
Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo
“Hilbert’s 10th Problem”
In 1900, the German mathematician David Hilbert outlined 23 major mathematical problems to be studied in the coming century. His ”questions” ranged greatly in topic and precision. They were designed to serve as examples for the kinds of problems whose solutions would lead to the furthering of disciplines in mathematics.
Yi Zhu, Pure Mathematics Department, University of Waterloo
“Rational curves on open manifolds”