Infosheet (March 6th, 2018) |
Queen's University - Department of Mathematics and Statistics |
Tuesday, March 6 |
Seminar in Free Probability and Random Matrices Time: 3:30 p.m. Place: Jeffery 319 |
Speaker: Jamie Mingo Title: The Infinitesimal Law of the real Wishart Ensemble Abstract Attached |
Wednesday, March 7 |
Number Theory Seminar Time: 2:15 p.m. Place: Jeffery 319 |
Speaker: M. Ram Murty Title: The Central Limit Theorem in algebra and Number Theory Abstract Attached |
Thursday, March 8 |
Math Club Time: 5:30 p.m. Place: Jeffery 118 |
Speaker: Francesco Cellarosi Title: Why you shouldn’t peel a high-dimensional orange Abstract Attached |
Friday, March 9 |
Three Minute Thesis Time: 2:30 p.m. Place: Jeffery 234 |
3MT – Three Minute Thesis Competition |
Items for the Info Sheet should reach Anne ( burnsa@queensu.ca) by noon on Monday. The Info Sheet is published every Tuesday.
Tuesday, March 6, 3:30 p.m. Jeffery 319
Seminar in Free Probability and Random Matrices
Speaker: Jamie Mingo
Title: The Infinitesimal Law of the real Wishart Ensemble
Abstract: The Wishart ensemble is the random matrix ensemble used to estimate the covariance matrix of a random vector. Infinitesimal freeness is a generalized independence stronger than freeness but weaker than second order freeness.
I will give the infinitesimal distribution of a real Wishart matrix. It is given in terms of planar diagrams which are 'half' of a non-crossing annular partition.
Wednesday, March 7, 2:15 p.m. Jeffery 319 - Number Theory Seminar
Speaker: M. Ram Murty
Title: The Central Limit Theorem in Algebra and Number Theory
Abstract: The central limit theorem is certainly one of the pinnacles of 20th century mathematics that
has transformed human civilization extending its influence outside
mathematics and now touching every other scientific discipline and beyond.
I will give a short historical survey and then highlight how
the central limit theorem has inspired the development of probabilistic
number theory and probabilistic group theory. At the end, I will report on
some old work with Kumar Murty and recent joint work with Arpita Kar and
Neha Prabhu regarding arithmetical aspects of Fourier coefficients of
modular forms.
Thursday, March 8, 5:30 p.m. Jeffery 118 - Math Club
Speaker: Francesco Cellarosi
Title: Why you shouldn’t peel a high-dimensional orange
Abstract:We will compute the "volume'’ of an
n-dimensional unit sphere an address three counterintuitive facts:
1) the volume is not a monotonic function of the dimension and,
surprisingly, tends to zero as the dimension tends to infinity,
2) most of the volume is concentrated near the surface of the sphere,
3) most of the volume is concentrated near any equator.