Infosheet (February 7th, 2017)

Queen's University - Department of Mathematics and Statistics


Tuesday, February 7

Grad Seminar

Time: 12:30 p.m.

Place: Jeffery 115

Speaker: Siddhi Pathak

Title: A historical introduction to special values of L-functions

Abstract Attached

Tuesday, February 7

Seminar in Free Probability and Random Matrices

Time: 2:30 p.m.

Place: Jeffery 222

Speaker: Josué Daniel Vázquez Becerra, Queen’s University

Title: The effect of asymptotic liberation on the covariance of traces of random matrices, II

Abstract Attached

Tuesday, February 7

Dynamics Seminar

Time: 3:30 p.m.

Place: Jeffery 422

Speaker: Francesco Cellarosi, Queen’s University

Title: Furstenberg’s proof of Szemeredi’s theorem (Part 2)

Abstract Attached

Thursday, February 9

Math Club

Time: 5:30 p.m.

Place: Jeffery 118

Speaker: M. Ram Murty

Title: When does a prime divide a binomial coefficient?

Abstract Attached

Friday, February 10

Number Theory Seminar

Time: 10:30 a.m.

Place: Jeffery 422

Speaker: Akshaa Vatwani, University of Waterloo

Title: TBA

Friday, February 10

Department Colloquium

Time: 2:30 p.m.

Place: Jeffery 234

Speaker: Vaidehee Thatte, Queen’s University

Title: Ramification theory for arbitrary valuation rings in positive characteristic

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, February 7, 12:30 p.m. Jeffery 115 - Grad Seminar

Speaker: Siddhi Pathak

Title: A historical introduction to special values of L-functions

Abstract: We will describe the historical development of the theory, focusing on work before the twentieth century.


Tuesday, February 7, 2:30 p.m. Jeffery 222

Seminar in Free Probability and Random Matrices

Speaker: Josué Daniel Vázquez Becerra

Title: The effect of asymptotic liberation on the covariance of traces of random matrices, II

Abstract: In this talk, we present some estimations for the asymptotic behaviour of the covariance of (unnormalized) traces of random matrices, when conjugated by asymptotically liberating random unitary matrices.

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


Tuesday, February 7, 3:30 p.m. Jeffery 422 - Dynamics Seminar

Speaker: Francesco Cellarosi

Title: Furstenberg’s proof of Szemeredi’s theorem (Part 2)

Abstract: In this expository talk, I will present the ergodic-theoretic proof of a famous theorem of E. Szemerédi. The theorem (proved in 1975, and previously known as a conjecture of P. Erdős and P. Turán) states that every set of integers with positive upper density contains arbitrary long arithmetic progressions. After the original combinatorial proof, H. Furstenberg found a different proof in 1977, using ergodic theory. He noticed that Szemerédi's theorem is equivalent to a statement about multiple recurrence of measure preserving transformations. I will explain the main ideas in the proof, and in particular why multiple recurrence occurs for special classes of examples: Bernoulli systems, and weakly mixing systems. The talk is based on a 1982 paper by H. Furstenberg, Y, Katznelson and D. Ornstein.


Thursday, February 9, 5:30 p.m. Jeffery 118 - Math Club

Speaker: M. Ram Murty

Title: When does a prime divide a binomial coefficient?

Abstract: We will use elementary number theory to answer the question in the title and also relate
the question to p-adic numbers.


Friday, February 10, 2:30 p.m. Jeffery 234 - Department Colloquium

Speaker: Vaidehee Thatte

Title: Ramification theory for arbitrary valuation rings in positive characteristic

Abstract: Our goal is to develop ramification theory for arbitrary valuation fields, that is compatible with the classical theory of complete discrete valuation fields with perfect residue fields. We consider fields with more general (possibly non-discrete) valuations and arbitrary (possibly imperfect) residue fields. The defect case, i.e., the case where there is no extension of either the residue field or the value group, gives rise to many interesting complications.We present some new results for Artin-Schreier extensions of valuation fields in positive characteristic. These results relate the "higher ramification ideal" of the extension with the ideal generated by the inverses of Artin-Schreier generators via the norm map. We also introduce a generalization and further refinement of Kato's refined Swan conductor in this case. Similar results are true in the mixed characteristic case.

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

Search