Infosheet (February 14th, 2017) |
Queen's University - Department of Mathematics and Statistics |
Tuesday, February 14 |
Seminar in Free Probability and Random Matrices Time: 2:30 p.m. Place: Jeffery 222 |
Speaker: Mario Diaz, Queen’s University Title: The linearization technique. Part I: Motivation and linearization of polynomials Abstract Attached |
Tuesday, February 14 |
Dynamics Seminar Time: 3:30 p.m. Place: Jeffery 422 |
Speaker: Maria Avdeeva, Queen’s University Title: Statistical properties of discontinuous sawtooth map Abstract Attached |
Wednesday, February 15 |
Curves Seminar Time: 3:30 p.m. Place: Jeffery 422 |
Speaker: Mike Roth Title: Quotients of affine varieties by reductive groups: Examples Abstract Attached |
Thursday, February 16 |
Math Club Time: 5:30 p.m. Place: Jeffery 118 |
Speaker: Francesco Cellarosi Title: Infinitely iterated exponentials
Abstract Attached |
Friday, February 17 |
Number Theory Seminar Time: 10:30 a.m. Place: Jeffery 422 |
Speaker: Arunabha Biswas Title: Erdős discrepancy problem and Tao’s work Abstract Attached |
Friday, February 17 |
Department Colloquium Time: 2:30 p.m. Place: Jeffery 234 |
Math & Stat 3 minute thesis competition |
Monday, February 20 |
Family Day |
University offices will be closed. |
Items for the Info Sheet should reach Anne ( burnsa@queensu.ca) by noon on Monday. The Info Sheet is published every Tuesday.
Tuesday, February 14, 2:30 p.m. Jeffery 222
Seminar in Free Probability and Random Matrices
Speaker: Mario Diaz
Title: The linearization technique. Part I: Motivation and linearization of polynomials
Abstract: In this talk we will show that every complex polynomial in non-commutative variables can be linearized into a polynomial with matricial coefficients. This linearization technique, also knows as 'descriptor realizations' in the control theory community, has important consequences in the realm of free probability theory.
Seminar website: http://www.mast.queensu.ca/~mingo/seminar/
Tuesday, February 14, 3:30 p.m. Jeffery 422 - Dynamics Seminar
Speaker: Maria Avdeeva
Title: Statistical properties of discontinuous sawtooth map
Abstract: The discontinuous sawtooth map is a measure-preserving automorphism of the torus with a
discontinuity line. We will provide a short survey of the properties of this map and outline a proof of its ergodicity. The proof relies on the Hopf argument for systems with singularities (originally due to Sinai) and generalizations are known; we will limit ourselves to a particular result by S. Vaienti.
Wednesday, February 15, 3:30 p.m. Jeffery 422 - Curves Seminar
Speaker: Mike Roth
Title: Quotients of affine varieties by reductive groups: Examples
Abstract: We will study some examples of group quotients, to see the theorems we have proved in action.
Thursday, February 16, 5:30 p.m. Jeffery 118 Math Club
Speaker: Francesco Cellarosi
Title: Infinitely iterated exponentials
Abstract:
Can you find rational solutions to the equation $x^y=y^x$, besides
$2^4=4^2$? What does this equation have to do with the bizarre function
$$f(x)=x^{x^{x^{x^{...}}}}\HUGE ?$$
We will answer these questions explore some fundamental properties of this
function. For instance,
we will compute $$\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{...}}}}$$ and 'prove' along the way that $2=4$.
Friday, February 17, 10:30 a.m. Jeffery 422 - Number Theory Seminar
Speaker: Arunabha Biswas
Title: Erdős discrepancy problem and Tao’s work
Abstract: In 1930s, Erdős speculated that every sequence of {-1,+1} assigned to natural numbers must have large "imbalances" among multiples of some integer. More than eight decades later, Tao confirmed this speculation is correct. In this talk I shall tell a few stories about this magnificent problem.