Infosheet (October 10th, 2017) |
Queen's University - Department of Mathematics and Statistics |
Tuesday, October 10 |
Seminar in Free Probability and Random Matrices Time: 4:00 p.m. Place: Jeffery 319 |
Speaker: Josué Daniel Vázquez Becerra Title: Liberation and the bounded cumulants property Abstract Attached |
Wednesday, October 11 |
Number Theory Seminar Time: 1:30 p.m. Place: Jeffery 319 |
Speaker: Vaidehee Thatte Title: Ramification theory for degree p extensions of arbitrary valuation rings in mixed characteristic (0,p) - I Abstract Attached |
Wednesday, October 11 |
Curves Seminar Time: 3:30 p.m. Place: Jeffery 319 |
Speaker: Mike Roth Title: The connectedness of linear sections Abstract Attached |
Friday, October 13 |
Grad Seminar Time: 11:30 a.m. Place: Jeffery 202 |
Narrator: Don Wescott Title: The Strange New Science of Chaos (Documentary, 1989) Abstract Attached |
Friday, October 11 |
Department Colloquium Time: 2:30 p.m. Place: Jeffery 234 |
Speaker: Donald Richards, Pennsylvania State University Title: Integrals of Characteristic Polynomials of Unitary Matrices, and Applications to the Riemann Zeta Function Abstract Attached |
Monday, October 16 |
Geometry and Representation Theory Seminar Time: 4:45 p.m. Place: Jeffery 319 |
Speaker: Ivan Dimitrov Title: Left symmetric superalgebras Abstract TBA |
Items for the Info Sheet should reach Anne ( burnsa@queensu.ca) by noon on Monday. The Info Sheet is published every Tuesday.
Tuesday, October 10, 4:00 p.m. Jeffery 319
Seminar in Free Probability and Random Matrices
Speaker: Josué Daniel Vázquez Becerra
Title: Liberation and the bounded cumulants property
Abstract: In this talk, we will show that conjugation by certain random unitary liberating matrices delivers the bounded cumulants property.
Seminar website: http://www.mast.queensu.ca/~mingo/seminar/
Wednesday, October 11, 1:30 p.m. Jeffery 319 - Number Theory Seminar
Speaker: Vaidehee Thatte
Title: Ramification theory for degree p extensions of arbitrary valuation rings in mixed characteristic (0,p) – I
Abstract: In classical ramification theory, we consider extensions of complete discrete valuation rings with perfect residue fields. We would like to study arbitrary valuation rings with possibly imperfect residue fields and possibly non-discrete valuations of rank \geq 1, since many interesting complications
arise for such rings. In particular, defect may occur (i.e. we can have a non-trivial extension, such that there is no extension of the residue field or the value group).
In this talk, we will discuss generalization and refinement of results in ramification theory when the residue characteristic p is positive, with focus on mixed characteristic (0,p).
Wednesday, October 11, 3:30 p.m. Jeffery 319 - Curves Seminar
Speaker: Mike Roth
Title: The connectedness of linear sections
Abstract: In preparation for proving the Fulton-Hansen connectedness theorem, we will prove results on the connectedness of intersections of an irreducible projective variety and a linear subspace, without requiring that the linear space be generic.
Friday, October 13, 11:30 a.m. Jeffery 202 - Grad Seminar
Narrator: Don Wescott
Title: The Strange New Science of Chaos (Documentary, 1989)
Abstract: Scientists are making surprising sense out of some very chaotic behavior in nature. In fact, many scientists now believe that turbulent processes like weather, waterfalls, irregular heartbeats, and even brain waves actually have a hidden and highly-ordered structure, a reversal of Isaac Newton's long-accepted vision of a clockwork universe unfolding with perfect precision. Explores a revolutionary new science that is learning how to analyze, and derive benefit from, a universe of chaos.
Friday, October 13, 2:30 p.m. Jeffery 234 - Department Colloquium
Speaker: Donald Richards
Title: Integrals of Characteristic Polynomials of Unitary Matrices, and Applications to the Riemann Zeta Function
Abstract: In recent research on the Riemann zeta function and the Riemann Hypothesis, it is important to calculate certain integrals involving the characteristic functions of N x N unitary matrices and to develop asymptotic expansions of these integrals as N goes to infinity. In this talk, I will derive exact formulas for several of these integrals, verify that the leading coefficients in their asymptotic expansions are non-zero, and relate these results to conjectures about the distribution of the zeros of the Riemann zeta function on the critical line. I will also explain how these calculations are related to mathematical statistics and to the hypergeometric functions of Hermitian matrix argument.