Tuesday, October 22, 2019

Tuesday, October 22, 2019 — 1:30 PM EDT

Adian Diaconu, University of Minnesota

"Moments of L-functions"

I will begin by discussing some recent results (joint in part with Ian Whitehead) about moments of quadratic Dirichlet L-functions. While our understanding of these moments over number fields still remains largely elusive, their function field analogs are more tractable. The main focus will be to describe some partial results in the function field setting. (Joint work with Jonas Bergström, Dan Petersen and Craig Westerland.)

MC 5417

Tuesday, October 22, 2019 — 2:00 PM EDT

Luke MacLean, Department of Pure Mathematics, University of Waterloo

"REVERSE MATHEMATICS"

While most of mathematics is concerned with using a set of axioms to prove theorems, reverse mathematics is a relatively new form of mathematical logic that seeks to determine which axioms are required to prove certain theorems. This gives a notion of the “strength” of a certain theorem by looking at which theorems imply it, and which are implied by it.

Tuesday, October 22, 2019 — 2:00 PM EDT

Zack Cramer, Department of Pure Mathematics, University of Waterloo

"Compressible Matrix Algebras and the Distance from Projections to Nilpotents"

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