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INFO SHEET QUEEN’S UNIVERSITY AT KINGSTON Department of Mathematics and Statistics http://www.mast.queensu.ca March 8, 2016 CALENDAR Wednesday, March 9 Thursday, March 10 Curves Seminar Time: 3:00 pm Place: Jeffery 319 Seminar in Free Probability and Random Matrices Thursday, March 10 Time: 10:00 a.m. Place: Jeffery 222 Math Club Friday, March 11 Time: 5:30 p.m. Place: Jeffery 118 Number Theory Seminar Friday, March 11 Time: 11:00 a.m. Place: Jeffery 422 Department Colloquium Friday, March 18 Time: 2:30 p.m. Place: Jeffery 234 Conference Room Time: 1:30 p.m. Place: Jeffery 521 Speaker: Mike Roth Title: Chern Classes for coherent sheaves Abstract Attached Speaker: Josué Daniel Vázquez Becerra Title: Second order freeness, Hadamard matrices, and signed permutation matrices Abstract Attached Speaker: Alex Molnar Title: Strange Dice Abstract Attached Speaker: Kannappan Sampath, Queen’s University Title: Finiteness of isomorphism classes of mod p Galois representations Abstract Attached Speaker: Professor Tryphon Georgiou, University of Minnesota Title: Entropic and Displacement interpolation of probability distributions: geometric and computational aspects Abstract Attached Ph.D. Student: Saber Jafarpour Title: On the role of regularity in mathematical control theory Supervisor: Andrew Lewis Items for the Info Sheet should reach Anne ([email protected]) by noon on Monday. The Info Sheet is published every Tuesday. Wednesday, March 9, 3:00 p.m. Jeffery 319 Speaker: Mike Roth Title: Chern Classes for coherent sheaves Curves Seminar Abstract: We will extend the construction of Chern classes from vector bundles to coherent sheaves on a smooth variety, and compute examples. Thursday, March 10, 10:00 a.m. Jeffery 222 Seminar in Free Probability and Random Matrices Speaker: Josué Daniel Vázquez Becerra Title: Second order freeness, Hadamard matrices, and signed permutation matrices Abstract: In this talk, we first show how to calculate the joint distribution of the entries of a uniformly distributed signed permutation matrix. Then, we explore the idea of using Hadamard matrices and uniformly distributed signed permutation matrices to deliver asymptotic freeness of second order. Seminar website: http://www.mast.queensu.ca/~mingo/seminar/ Thursday, March 10, 5:30 p.m. Jeffery 118 Speaker: Alex Molnar Title: Strange Dice Math Club Abstract: How much can you change a pair of dice, without really changing them? More precisely, in what ways can you change the numbers on the faces of the dice and still have the same likelihood of each roll with a standard pair of dice. (E.g., there is a 1/36 chance of rolling a 12.) Things will be thrown, and then we will use polynomials to answer this question. Friday, March 11, 11:00 a.m. Jeffery 422 Speaker: Kannappan Sampath Title: Finiteness of isomorphism classes of mod p Galois representations Number Theory Seminar Abstract: A consequence of modularity theorem for odd two-dimensional irreducible representations of the absolute Galois group of rationals (a conjecture due to Serre, now a theorem due to KhareWintenberger) is that there are only finitely many isomorphism classes of such representations with bounded conductor outside p. The truth of this for higher dimensional representations over number fields of finite degree (>1), with additional ramification hypotheses, has been extensively studied by several authors. We make some observations following some papers of Fontaine-Mazur, Serre and Tate. Friday, March 11, 2:30 p.m. Jeffery 234 Department Colloquium Speaker: Professor Tryphon Georgiou Title: Entropic and Displacement interpolation of probability distributions: geometric and computational aspects Abstract: We will discuss two problems with a long history and a timely presence. Optimal mass transport (OMT) was posed as a problem in 1781 by Gaspar Monge. It provides a natural geometry for interpolating distributions (displacement interpolation) and for modeling flows. As such it has been the cornerstone of many recent developments in physics, probability theory, and image processing. The Schrödinger bridge problem (SBP) was posed by Erwin Schrödinger in 1931, in an attempt to provide a classical interpretation of quantum mechanics. It is rooted in statistical mechanics and large deviations theory, and provides an alternative model for flows of the distribution of particles (entropic interpolation -Schrödinger bridge). We will explain the relation between the two problems, their practical relevance in the control of particles, ensembles, thermal noise, time-series analysis, images interpolation, etc., and we will present a computational approach based on the Hilbert metric. The talk is based on joint work with Yongxin Chen (Mechanical Engineering, University of Minnesota) and Michele Pavon (Department of Mathematics, University of Padova).