# Queen's University - Department of Mathematics and Statistics

 Tuesday, March 28 Dynamics Seminar Time: 3.30 p.m. Place: Jeffery 422 Speaker: Francesco Cellarosi Title: Aaronson’s distributional ergodic theorem Abstract Attached Wednesday, March 29 Curves Seminar Time: 3:30 pm. Place: Jeffery 422 Speaker: Mike Roth Title: G-linearizations of line bundles III Abstract Attached Thursday, March 30 3MT finals Time: 4:30 p.m. Place: Dupuis Hall Auditorium Claire Boteler has made it to the 3MT finals. Let’s show our support. Thursday, March 30 Math Club Time: 5:30 p.m. Place: Jeffery 118 Speaker: David Wehlau, Queen’s University / RMC Title: On the converse of the Intermediate Value Theorem Abstract Attached Friday, March 31 Number Theory Seminar Time: 10:30 a.m. Place: Jeffery 422 Speaker: Arpita Kar Title: A conjecture of Bateman regarding r_5(n) Abstract Attached Friday, March 31 Department Colloquium Time: 2:30 p.m. Place: Jeffery 234 Speaker: Nancy Reid, University of Toronto Title: Big data, data science, statistics Abstract Attached Monday, April 3 Seminar in Free Probability Time: 2:30 p.m. Place: Jeffery 202 Speaker: Pei-Lun Tseng, Queen’s University Title: Infinitesimal freeness Abstract Attached Monday, April 10 Ph.D. Thesis Defense Time: 10:00 a.m. Place: Jeffery 521 Ph.D. Student: Peng-Jie Wong Title: Character Theory and Artin L-functions Supervisor: Ram Murty Wednesday, April 19 Ph.D. Thesis Defense Time: 1:00 p.m. Place: Jeffery 521 Ph.D. Student: Yinzheng Gu Title: Non-commutative Independences for Paris of Faces Supervisors: Jamie Mingo and Serban Belinschi

Items for the Info Sheet should reach Anne ( burnsa@queensu.ca) by noon on Monday. The Info Sheet is published every Tuesday.

CALCULATOR EXAM POLICY , the official calculator is a Casio fx-991, or one with a blue sticker as issued by School of Business. All exam cover pages must only refer to these calculators only; any other exam cover, including other calculators (ie gold sticker) will not be accepted by the exams office. Proctors are going to be instructed to be less lenient with calculators that aren’t Casio fx-991 (or blue sticker from COMM), and will likely to be taking them away.

Tuesday, March 28, 3:30 p.m. Jeffery 422 - Dynamics Seminar

Speaker: Francesco Cellarosi

Title: Aaronson’s distributional ergodic theorem

Abstract: We know that it is impossible to have a pointwise ergodic theorem in Infinite Ergodic Theory, due to a theorem of Jon Aaronson. Nevertheless, under some assumptions, one can show a weaker form of the ergodic theorem, also due to Aaronson.

Surprisingly enough, some probabilistic ingredients are needed in the theorem. I will present a 1-dimensional version of this theorem and some examples.

Wednesday, March 29, 3:30 p.m. Jeffery 422 - Curves Seminar

Speaker: Mike Roth

Title: G-linearizations of line bundles III

Abstract: We will prove the proposition on the Picard group of G x X, show how the two different descriptions of G-linearization are connected, and discuss related topics.

Thursday, March 30, 5:30 p.m. Jeffery 118 - Math Club

Speaker: David Wehlau

Title: On the converse of the Intermediate Value Theorem

Abstract: Suppose that f: ℝ ➝ ℝ is a function. The Intermediate Value Theorem (IVT) asserts that if f is continuous then for any real numbers a, b, and y with a < b and y between f(a) and f(b) there exists x ∊ [a,b] such that f(x)=y.

We consider whether the converse of this theorem is true:

Question: Suppose that for any real numbers a, b, and y with a < b and y betweenf(a) and f(b) there exists x ∊ [a,b] such that f(x)= y. Does this imply that f is continuous?

Even if the answer to this question is negative, perhaps we can conclude that the function f is close in some sense to being continuous.

We will consider this question and see what we can conclude about the continuity of f.

Friday, March 31, 10:30 a.m. Jeffery 422 - Number Theory Seminar

Speaker: Arpita Kar

Title: A conjecture of Bateman regarding r_5(n)

Abstract: We will discuss about a conjecture made by Paul T. Bateman for the exact formula for $\sum{|j| \leq n}\sigma(n-j^2)$ and talk about some recent developments on the conjecture. This is joint work with Prof. Ram Murty.

Friday, March 31, 2:30 p.m. Jeffery 234 - Department Colloquium

Speaker: Nancy Reid

Title: Big data, data science, statistics

Abstract: The Canadian Statistical Sciences Institute developed a six-month thematic program on big data in 2015, with substantial funding from the Fields Institute, and support from PIMS, CRM and AARMS for activities across the country. By the end of this program, big data had given way to data science as the phrase du jour, and undergraduate and graduate programs in data science are being developed at a rapid pace.

In this talk I will present my own views on aspects of data science research, with reference to lessons learned from the thematic program and the many initiatives developing since then. I will emphasize the role of statistical science in the new world of data science — both old and new statistical ideas seem to be in demand.

Monday, April 3, 2:30 p.m. Jeffery 202

Seminar in Free Probability and Random Matrices

Speaker: Pei-Lun Tseng

Title: Infinitesimal freeness

Abstract: In this talk, we will introduce the notion of infinitesimal freeness, and we will show an equivalent condition and some properties of infinitesimal freeness. Also, we will establish the relation between type B freeness and infinitesimal freeness.

Seminar website: http://www.mast.queensu.ca/~mingo/seminar/

### 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