Our next talk will be this Thursday October 4th in BA 2135 at 6:00.
Prof. Almut Burchard is presenting on
A shape optimization problem related with flocking
Given a large number of particles where each pair
experiences a force determined by their distance.
When can a flock form, and what should it look like?
Suppose that any two particles attract when they are
far apart, and repel each other when they are close. One
may conjecture that a sufficiently large number of
particles would organize itself in a round flock; if the
number of particles is too small, they would disperse. I will
describe recent progress towards this conjecture,
and mention open problems.
Pizza in the grad lounge at 5:30!
Math Union Talk: Symmetry
Professor Joe Repka
Friday Sep 28, 5:30-6:30pm, BA1190
Pizza following the talk
Hello everyone! Math Union will be holding a new semester social on the 21st of September! It’s from 6:45pm till 9:45pm at Hart House South Dining Room. It is a great chance to get to know each other and there will be a collection of board games and free food!
Jonathan Love, U of T math grad and Stanford PhD student, will be giving a talk on Lattices and Basis Reduction!
INFO: Nov. 22, 4-6 pm // BAB025 // stay for the social happening afterwards, from 6-8 pm
Abstract: A lattice is a discrete collection of points inside a vector space which in many ways behaves like a vector space itself. But for many problems that are simple to solve for vector spaces, the corresponding lattice problems are extremely difficult to solve – so hard, in fact, that there are cryptosystems based on them which are expected to be secure even under quantum attacks.
In addition to discussing a few of these problems, this talk will develop the beginnings of the theory used to try and solve them, through the notion of a fundamental domain for a moduli space and related concepts.
Facebook Event here: https://www.facebook.com/events/161085384488953/
This talk will be given by Jaimal Thind. Food will be served at 4:30pm in the graduate lounge on the 6th floor of Bahen!
Imagine that the surfaces in the picture on this poster are made of a very stretchable rubber. Without cutting, tearing or puncturing the surfaces, can you start with the surface on the top and turn it into the surface below it? Would you like to know how it’s possible? If so, this talk is for you!
In this interactive talk we will introduce some ideas related to surfaces and their generalizations (called manifolds), mostly focussed on dimensions 2 and 3. We will introduce the notion of a manifold, equivalence of manifolds, and look at examples and constructions in low dimension. The audience will have the opportunity to use models to understand the solution to the above problem, and some others like it.
We will put an emphasis on developing geometric intuition, so the only pre-requisite demanded is an open imagination. (Familiarity with the notion of continuity and basic geometry will help.)
This talk will be given by Jason Siefken!
The hallway problem considers adjacent parallel hallways of unit width each with a single doorway (aligned with integer lattice points) of unit width. It then asks: what are the properties of lines that pass through each doorway? Configurations of doorways closely correspond to Sturmian words, and so properties of these configurations may be lifted to properties of Sturmian words. This talk will explore lines of sight, lines that pass through each doorway, for both the case for both a finite number of parallel hallways and an infinite number, and their consequences for Sturmian words. We then produce a metric on configurations with an infinite number of hallways that preserves the property of admitting a line of sight under limits.
Refreshments will be served at 4:30pm in the graduate lounge on the 6th floor of Bahen.
Many practical optimization problems require integer solutions. For example, it doesn’t make sense to give 8.4 dimes in change, to assign 1.3 workers to a shift, or to produce 6.71 chairs. In this talk, we will explore a recently discovered method for attacking this type of optimization problem that uses tools originally developed to understand collections of polynomials. Along the way, we will see why our usual methods for solving optimization problems do not work when integer solutions are required, exchange coins with computational algebra, and explore connections between polynomials and geometry.
Refreshments will be served in the graduate lounge on the 6th floor of Bahen before the talk, at 4:30pm!
Find the event on Facebook here.
We will explore the areas of knot theory and graph theory, and then show how these two theories can be combined to prove a property of Jones Polunomial. In the end, we will discuss recent discoveries about what the underlying graph structure can tell us about a knot.
Refreshments will be served at 4:30 in the mathematics graduate lounge on the 6th floor of Bahen.
Join Dr. Brendan Kelly on Friday for the Math Union’s first MUGS Talk of the semester! Refreshments, as always, will be provided.
The ability to pose good questions is critical in the problem solving process. This talk will begin with a simple question that will frame a conversation on mathematics, education, and your college experience. The mathematical enterprise of digging deeper will send us down the rabbit hole as we investigate variations of the title question. We will explore the importance of asking good questions and techniques to empower students to ask good questions. The only prerequisite for this talk is an inquisitive mind and a willingness to actively participate.