University of Calgary

How does mathematical knowledge grow? According to an influential formulation due to philosopher Ernest Nagel, when a scientific theory "reduces" another, the reduced theory is deductively subsumed under the reducing theory: thus for example...

In this talk I will explain basic ideas concerning fractional Laplacians (in particular, their relation with Lévy flights in Probability) and I will present the essential tools to treat nonlinear equations involving fractional Laplacians and other...

We apply a general framework to analyze the influence of system load on service times in queueing systems to EMS systems. The framework unifies previous results and ties them to possible future studies to help empirical and analytical researchers to...

Pierre-Simon marquis de Laplace in his 5 volume Traité de mécanique céleste unified mathematical physics by placing calculus front and center. Among Laplace's chief innovations, was an introduction of a differential equation that now bears his name...

Real stable polynomials define real hypersurfaces with special topological structure. These polynomials bound the feasible regions of semidefinite programs and appear in many areas of mathematics, including optimization, combinatorics and...

Machine learning is a powerful computer science technique that can derive knowledge from big data and make predictions/decisions. Since nanometer VLSI design and manufacturing have extremely high complexity and gigantic data, there is great...

The University of Calgary 2019 Sonia Kovalevsky Day will focus on answering the question where is math in the world, interdisciplinary mathematics, and communicating math. The students will start their day by collaboratively brainstorming about where...

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A video of this event is available on mathtube.org. In this talk, I will give a survey of recent work I have done—some published, some unpublished—on the historical, mathematical, and philosophical problems related to the assignment of "sizes" to...

In this talk, I will outline the basic ideas in Langlands’ Beyond Endoscopy proposal, and the role of summation formulas and the nontempered automorphic spectrum. I will discuss the various approaches of Frenkel-Langlands-Ngô, Altug, and Ngô to the...