Infosheet (September 19th, 2017) |
Queen's University - Department of Mathematics and Statistics |
Tuesday, September 19 |
Seminar in Free Probability and Random Matrices Time: 4:00 p.m. Place: Jeffery 319 |
Speaker: Jamie Mingo Title: The Role of the Transpose in Free Probability: The partial transpose of R-cyclic operators Abstract Attached |
Wednesday, September 20 |
Number Theory Seminar Time: 1:30 p.m. Place: Jeffery 319 |
Speaker: Arpita Kar Title: A proof of Erdos-Kac Theorem due to Granville and Soundararajan Abstract Attached |
Friday, September 22 |
Department Colloquium Time: 2:30 p.m. Place: Jeffery 234 |
Speaker: Christiane Rousseau, Université de Montréal Title: What can we learn from divergent series? Abstract Attached |
Monday, September 25 |
Geometry and Representation Theory Seminar Time: 4:45 p.m. Place: Jeffery 319 |
Speaker: Ichiro Shimada, Hiroshima University, Japan Title: Rational double points on complex enriques surfaces Abstract Attached |
Items for the Info Sheet should reach Anne ( burnsa@queensu.ca) by noon on Monday. The Info Sheet is published every Tuesday.
Tuesday, September 19, 4:00 p.m. Jeffery 319
Seminar in Free Probability and Random Matrices
Speaker: Jamie Mingo
Title: The Role of the Transpose in Free Probability: The partial transpose of R-cyclic operators
Abstract: Like tensor independence, free independence gives us rules for doing calculations. With random matrix models, we usually need tensor independence of the entries and some kind of group invariance of the joint distribution of the entries to get the (asymptotic) freeness necessary to apply the tools of free probability.
A few years ago Mihai Popa and I found that the transpose also produces asymptotic freeness, i.e. a matrix could be asymptotically free from its own transpose. Since that we have expanded this work to the case of the partial transposes that arise in quantum information theory.
In this talk I will explain what happens when one transposes certain R-cyclic operators.
Seminar website: http://www.mast.queensu.ca/~mingo/seminar/
Wednesday, September 20, 1:30 p.m. Jeffery 319 - Number Theory Seminar
Speaker: Arpita Kar
Title: A proof of Erdos-Kac Theorem due to Granville and Soundararajan
Abstract: Erdos-Kac theorem is one of the most important theorems of probabilistic number theory. We will look at this theorem from a historical viewpoint and outline a proof due to Andrew Granville and K. Soundararajan.
Friday, September 22, 2:30 p.m. Jeffery 234 - Department Colloquium
Speaker: Christiane Rousseau
Title: What can we learn from divergent series?
Abstract: What can we learn from convergent power series? They provide asymptotics close to the origin, they are useful in numerical computations. Moreover, in the complex domain, a convergent series encodes the complete information on the analytic extension of the function, which is the sum of the series, including its singularities. But, what about divergent series? For centuries, they have been successfully used in mathematics until the call for rigour banished them from most of mathematics. In this lecture. I will discuss the rehabilitation of divergent series in the 20^{th} century, and how we can rigorously justify their use. I will then move to highlighting the very rich information they can provide on the functions that are their “sums”. The examples presented come from differential equations.
Monday, September 25, 4:45 p.m. Jeffery 319
Geometry and Representation Theory Seminar
Speaker: Ichiro Shimada
Title: Rational double points on complex enriques surfaces
Abstract: I will present some lattice-theoretic algorithms that are useful in the study of K3 surfaces and Enriques surfaces, and apply them in making a list of rational double points on complex Enriques surfaces.