David McKinnon, Department of Pure Mathematics, University of Waterloo
Lassina Dembele, University of Warwick
In this talk, we revisit the Jacquet-Langlands correspondence for GL2. We restate this corre- spondence using the notion of supercuspidal types. Our reformulation was motivated by algorithmic questions related to the generalized Fermat equation. We will give several examples which illustrate its usefulness.
MC 5136B **Please note Room**Jennifer Park, McGill University
Using the ideas of Poonen and Stoll, we develop a modified version of Chabauty’s method, which shows that a positive proportion of hyperelliptic curves have as few quadratic points as possible.
MC 5479
Igor Shparlinski, University of New South Wales
Anton Mosunov, Department of Pure Mathematics, University of Waterloo
Tristan Freiberg, Department of Pure Mathematics, University of Waterloo
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
Kevin Hare, Pure Math Department, University of Waterloo
Arunabha Biswas, Queen’s University
“Some aspects of higher Mahler Measure”
Matilde Lalin, University of Montreal
“The distribution of points on cyclic l-covers of genus g”