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.

Contact Info

Department of Math & Stats
Jeffery Hall, 48 University Ave.
Kingston, ON Canada, K7L 3N6
Phone: (613) 533-2390
Fax: (613) 533-2964
mathstat@mast.queensu.ca
Office Hours: 8:30am-12:00pm & 1:00pm-4:30pm

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