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 Events
George Wechslberger
Technical University of Munich
Thu 21 Sep 2017, 3:00pm SPECIAL
LSK 306
Overview of the Julia programming language: an 8 hour minicourse Part III
LSK 306
Thu 21 Sep 2017, 3:00pm-5:30pm

Details

Course description: The Julia programming language is designed to be a high level language for numerical computing, that is as fast as C or Fortran, despite employing a high level syntax. Since its first release in 2012 it has been continually improved and build a fast growing community around it.

The aim of this course is to give an overview of the key concepts of the Julia programming language as well as explain the advantages over other languages designed for numerical computing, as e.g. Matlab or R. Furthermore it demonstrates how readily available packages developed with Julia can be used to solve common problems occurring in numerical analysis, such as - linear systems of equations - non linear systems of equations - ordinary differential equations - linear programs. The course will also cover the basic tasks frequently encountered by numerical analysts: benchmarking, plotting and debugging. If time permits we will also explore possibilities for using Julia in deep learning applications.
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UBC Math
Fri 22 Sep 2017, 3:00pm
Department Colloquium
ESB 2012
Some directions in analysis and geometry of probability measures
ESB 2012
Fri 22 Sep 2017, 3:00pm-4:00pm

Abstract

Probability measures are key objects in many scientific and engineering areas that deal with randomness, distributions, data sets, etc. When coupled with optimization, many interesting questions naturally arise. In this talk, I will explain a few of such questions from the point of view of optimal transport theory, which gives a natural and robust framework for studying probability measures. These involve among others, matching probability measures in an optimal way following certain rules (e.g martingale), as well as finding geometric averages between probability measures.  
 

Note for Attendees

Light refreshments will be served in ESB 4133, the PIMS Lounge before this colloquium.
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USC
Tue 26 Sep 2017, 4:00pm
Discrete Math Seminar
ESB 4127
Combinatorial bases of polynomials
ESB 4127
Tue 26 Sep 2017, 4:00pm-5:00pm

Abstract

We establish a poset structure on combinatorial bases of polynomials, defined by positive expansions. These bases include the well-studied Schubert polynomials, Demazure characters and Demazure atoms, as well as the recently-introduced slide and quasi-key bases. The product of a Schur polynomial and an element of a basis in the poset expands positively in that basis; in particular we give the first Littlewood-Richardson rule for the product of a Schur polynomial and a quasi-key polynomial, extending the rule of Haglund, Luoto, Mason and van Willigenburg for quasi-Schur polynomials. We also establish bijections connecting combinatorial models for these polynomials, including semi-skyline fillings and quasi-key tableaux.
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The University of Melbourne
Wed 27 Sep 2017, 3:00pm
Discrete Math Seminar / Probability Seminar
ESB 2012
1324 pattern-avoiding permutations
ESB 2012
Wed 27 Sep 2017, 3:00pm-4:00pm

Abstract

The field of pattern-avoiding permutations was introduced by Knuth in the 1960s as a way of characterising certain data structures. 
Since then, it has grown into an important area in its own right. There are a number of classical problems, among which is the number of 1324-avoiding 
permutations. We will give some history, and then give  details of a new algorithm we have developed for the generating function for this problem. 
As a result we can count these up to length 50.

A new method of analysis we have developed, which can in some circumstances be an alternative to Monte Carlo analysis, reveals some interesting features. 
In particular, we conjecture that the generating function is not D-finite, and has asymptotics that include a stretched-exponential term. 
(Joint work with Andrew Conway and Paul Zinn-Justin).

The late, great Mark Kac often said that his seminars assumed zero knowledge but infinite wisdom. 
This seminar only assumes zero knowledge and finite wisdom.
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Alain Prat
UBC
Thu 28 Sep 2017, 12:30pm
Lunch Series on Teaching & Learning
MATH 126
Getting off on the wrong foot: early identification of “at risk” students in first term calculus
MATH 126
Thu 28 Sep 2017, 12:30pm-1:30pm

Abstract

As an instructor, you have probably observed that a student's performance on the first midterm is strongly correlated with their final grade in the course, and that the lowest performing students on the midterm are often “at risk” of failing the course. In this lunch series I'll discuss two alternative ways of identifying at risk students, in the context of first term calculus. The first involves using data from the pre-calculus diagnostic test and the math attitude survey (MAPS). The second method involves mining data from the first webwork assignment. I'll discuss the variables identified as most important for predicting grades, and how the predictive model I have developed will be used as part of an intervention this semester in Math 180. Lastly, I'll discus some research I have done on “outlier” students whose final grade is far above what would be expected based on their first midterm score alone.  
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University of Pennsylvania
Thu 28 Sep 2017, 3:30pm
Number Theory Seminar
Math 126
On free resolutions of Iwasawa modules
Math 126
Thu 28 Sep 2017, 3:30pm-5:15pm

Abstract

The topic of the talk is motivated by certain questions on analytic side of (non-commutative) Iwasawa theory, namely the integrality properties of the p-adic L-function.  Though we are motivated by these properties on the analytic side of Iwasawa theory, our work deals with the algebraic objects, called Iwasawa modules.  We will discuss certain (non-primitive) Iwasawa modules that have a free resolution of length one over appropriate Iwasawa algebras. If time permits, we will consider an application of this result involving an elliptic curve E over Q with a cyclic isogeny of degree p^2.  This is joint work with Alexandra Nichifor.
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UBC Math
Fri 29 Sep 2017, 3:00pm
Department Colloquium
ESB 2012
Mathematics and Vantage College
ESB 2012
Fri 29 Sep 2017, 3:00pm-4:00pm

Abstract

Vantage College is an academic program integrating content and language instruction for first-year international students at UBC. Specially designed MATH 100 and MATH 101 courses have been offered to Vantage Science students since the program started in 2014.

In this presentation, I will give an overview of Vantage College, describe some innovations in first-year Mathematics instruction that have been developed in the program, and make some recommendations about how the Mathematics Department might work with Vantage College in the coming years
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University of Tennessee, Knoxville
Tue 3 Oct 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
TBA
ESB 2012
Tue 3 Oct 2017, 3:30pm-4:30pm

Abstract


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Rényi Institute
Tue 3 Oct 2017, 4:00pm
Discrete Math Seminar
TBD
Tue 3 Oct 2017, 4:00pm-5:00pm

Abstract

 
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Tel Aviv
Wed 4 Oct 2017, 3:00pm
Probability Seminar
TBA
TBA
TBA
Wed 4 Oct 2017, 3:00pm-4:15pm

Abstract


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University of Minnesota
Wed 4 Oct 2017, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
Homology of braid groups via quantum shuffle algebras
ESB 4133 (PIMS Lounge)
Wed 4 Oct 2017, 3:15pm-4:15pm

Abstract

I will explain some new techniques for computing the homology of braid groups with coefficients in a certain class of exponential representations that arise in a natural way from braided monoidal categories. Surprisingly (at least to me), these techniques are related to fundamental objects — Nichols algebras — in the theory of quantum groups and the classification theory of Hopf algebras.  These techniques can be used to establish part of a function field analogue of Malle’s conjecture on the distribution of Galois groups.  I will not discuss this application much in the topology seminar, but will focus on it in the colloquium.  This is joint work with Jordan Ellenberg and TriThang Tran.
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UBC
Thu 5 Oct 2017, 3:30pm
Number Theory Seminar
Math 126
TBA
Math 126
Thu 5 Oct 2017, 3:30pm-5:15pm

Abstract


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University of Minnesota
Fri 6 Oct 2017, 3:00pm
Department Colloquium
ESB 2012
Topological approaches to the distribution of Galois groups
ESB 2012
Fri 6 Oct 2017, 3:00pm-4:00pm

Abstract

The inverse Galois problem asks whether every finite group occurs as the Galois group of an extension of the rational numbers.  In 2002, Malle made this existential question more numerical, by conjecturing an asymptotic formula on the growth of the number of fields with a given Galois group, as a function of discriminant.  One may reformulate this question in a function field context, replacing the rational numbers with the field of rational functions in positive characteristic.  In joint work with Jordan Ellenberg and TriThang Tran, we show that Malle’s conjectured formula does give an upper bound on that distribution.  Our methods are very topological, relying on new tools for computing the homology of Hurwitz moduli spaces of branched covers.  We will elide these technicalities in this talk — they will be the focus of the topology seminar earlier this week — and focus on the number theoretic results and how to reformulate them in topological terms.
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Yong Liu
North China Electric University
Tue 10 Oct 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
Nondegeneracy, Morse Index and Orbital Stability of KP-I Lump Solution
ESB 2012
Tue 10 Oct 2017, 3:30pm-4:30pm

Abstract

 We prove that the lump solution of the classical KP-I equation is nondegenerate and its Morex index is one. As a consequence, it is orbital stable. 
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UBC
Tue 10 Oct 2017, 5:00pm
Discrete Math Seminar
ESB 4127
TBD
ESB 4127
Tue 10 Oct 2017, 5:00pm-6:00pm

Abstract

 
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The University of British Columbia
Wed 11 Oct 2017, 3:00pm
Probability Seminar
ESB 2012
TBA
ESB 2012
Wed 11 Oct 2017, 3:00pm-4:00pm

Abstract


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Yonsei University
Tue 17 Oct 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
TBA
ESB 2012
Tue 17 Oct 2017, 3:30pm-4:30pm

Abstract


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Technical University of Berlin
Wed 18 Oct 2017, 3:00pm
Probability Seminar
ESB 2012
TBA
ESB 2012
Wed 18 Oct 2017, 3:00pm-4:00pm

Abstract


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Cornell University
Wed 18 Oct 2017, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
ESB 4133 (PIMS Lounge)
Wed 18 Oct 2017, 3:15pm-4:15pm

Abstract

 
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McGill
Tue 24 Oct 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
An isometric embedding problem and related geometric inequalities
ESB 2012
Tue 24 Oct 2017, 3:30pm-4:30pm

Abstract

Solutions to the classical Weyl problem by Nirenberg and Pogorelov
play fundamental role in the notion of quasi local masses and positive quasi
local mass theorems in general relativity. An interesting question in
differential geometry is whether one can isometrically embed compact surfaces
with positive Gauss curvature to a general 3 dimensional ambient space. Of
particular importance is the anti de Sitter Schwarzchild space in general
relativity.  We discuss some recent progress in this direction, the a priori
estimates for embedded surfaces in a joint work with Lu, the openness and
non-rigidity results of Li -Wang, and a new quasi local type inequality of
Lu-Miao. We will also discuss open problem related to isometric embeddings to
ambient spaces with horizons.
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University of Alberta at Edmonton
Wed 1 Nov 2017, 3:00pm
Probability Seminar
ESB 2012
Feynman-Kac formula for the stochastic heat equation driven by general Gaussian noises
ESB 2012
Wed 1 Nov 2017, 3:00pm-4:00pm

Abstract


In this talk  I will  present some results on stochastic heat equations driven by a Gaussian noises. I will focus on Feynman-Kac representation of the solution and the moments of the solution. Both lower and upper bounds for the L^p moments of the solution are obtained which is relevant to the so-called intermittency. The Driving Gaussian noises include fractional Brownian fields of Hurst parameters greater or smaller than 1/2.
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Aaron Palmer
UBC
Tue 7 Nov 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
Optimal Stopping with a Probabilistic Constraint
ESB 2012
Tue 7 Nov 2017, 3:30pm-4:30pm

Abstract

Optimal stopping problems can be viewed as a problem to calculate
the space and time dependent value function, which solves a nonlinear, possibly
non-smooth and degenerate, parabolic PDE known as an Hamilton-Jacobi-Bellman
(HJB) equation.  These equations are well understood using the theory of
viscosity solutions, and the optimal stopping policy can be retrieved when
there is some regularity and non-degeneracy of solution.
 
The HJB equation is commonly derived from a dynamic programming principle
(DPP). After adding a probabilistic constraint, the optimal policies no longer
satisfy this DPP.  Instead, we can reach the HJB equation by a method related
to optimal transportation, and  recover a DPP for a Lagrangian-relaxation of
the problem.  The resulting HJB equation remains coupled through the constraint
with the optimal policy (and another parabolic PDE).  Solving the HJB and
recovery of the optimal stopping policy is aided by considering the
``piecewise-monotonic’' structure of the stopping set.
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Foster Tom
UBC
Tue 7 Nov 2017, 4:00pm
Discrete Math Seminar
ESB 4127
TBD
ESB 4127
Tue 7 Nov 2017, 4:00pm-5:00pm

Abstract

 
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[on hold]
Tue 7 Nov 2017, 4:00pm
Discrete Math Seminar
Tue 7 Nov 2017, 4:00pm-5:00pm

Abstract

 
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University of California, Irvine
Wed 8 Nov 2017, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
ESB 4133 (PIMS Lounge)
Wed 8 Nov 2017, 3:15pm-4:15pm

Abstract

 

Note for Attendees


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Emory University
Thu 9 Nov 2017, 3:30pm
Number Theory Seminar
Math 126
TBA
Math 126
Thu 9 Nov 2017, 3:30pm-5:00pm

Abstract


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Wayne State University
Wed 15 Nov 2017, 3:15pm
Topology and related seminars
ESB 4133
ESB 4133
Wed 15 Nov 2017, 3:15pm-4:15pm

Abstract

 
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Université de Montréal
Fri 17 Nov 2017, 11:00am
Number Theory Seminar
MATX1118 (tentative)
TBA
MATX1118 (tentative)
Fri 17 Nov 2017, 11:00am-12:00pm

Abstract


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Yaniv Plan
UBC
Fri 17 Nov 2017, 3:00pm SPECIAL
ESB 2012
PIMS-UBC Distinguished Colloquium--TBA (for PIMS UBC Math Sciences prize)
ESB 2012
Fri 17 Nov 2017, 3:00pm-4:00pm

Details

 
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Michal Kowalczyk
University of Chile
Tue 21 Nov 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
TBA
ESB 2012
Tue 21 Nov 2017, 3:30pm-4:30pm

Abstract

 
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University of Southern California
Wed 22 Nov 2017, 3:15pm
Topology and related seminars
ESB 4133
ESB 4133
Wed 22 Nov 2017, 3:15pm-4:15pm

Abstract

 
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Université Paris-Saclay
Wed 29 Nov 2017, 3:15pm SPECIAL
Department Colloquium
ESB 2012
TBA
ESB 2012
Wed 29 Nov 2017, 3:15pm-4:15am

Abstract


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Courant Institute, NYU
Fri 1 Dec 2017, 3:00pm SPECIAL
Department Colloquium
ESB 2012
PIMS-UBC Distinguished Colloquium--TBA
ESB 2012
Fri 1 Dec 2017, 3:00pm-4:00pm

Abstract

 
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Umberto Zannier
SNS, Pisa
Fri 2 Mar 2018, 3:00pm SPECIAL
Department Colloquium
ESB2012
PIMS-UBC Distinguished Colloquium--TBA
ESB2012
Fri 2 Mar 2018, 3:00pm-4:00pm

Abstract

 

Note for Attendees

Refreshments will be served in ESB 4133 from 2:45 p.m.-3:00 p.m.
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Jean-Marc Deshouillers
University of Bordeaux
Thu 29 Mar 2018, 3:30pm
Number Theory Seminar
TBA
Thu 29 Mar 2018, 3:30pm-5:00pm

Abstract


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University of Oxford
Fri 6 Apr 2018, 3:00pm
Department Colloquium
ESB 2012
PIMS-UBC Distinguished Colloquium--TBA
ESB 2012
Fri 6 Apr 2018, 3:00pm-4:00pm

Abstract

 
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