Come join us tomorrow for Professor Kasra Rafi’s talk about Hyperbolic Geometry!
The talk will be on Tuesday, December 3rd, from 6:10-7pm in BA025. Pizza will be served!
Hi everyone! Our next event will be talks from the 2019 Canadian Undergraduate Mathematics Conference (CUMC) by three students, Isabel Beach, Curtis Michael and Nikki Sigurdson. It will be Friday, October 25th, 2019 at 6:10pm, in BA 6183.
Pizza and pop will be provided!
The Beauty of the Hyperbolic Plane, by Isabel Beach
An Introduction to Mapping Class Groups and the Nielsen-Thurston Classification of Mapping Classes, by Curtis Grant
Finite Model Theory and First Order Definability, by Nikki Sigurdson
Math Union Hoodies are available for pickup tomorrow (Monday, April 8th) from 1:30-4:30 pm in the math undergrad lounge. More times for pick up will be announced tomorrow night.
You must bring your t-card in order to pick up your hoodie. See you tomorrow!
Cindy Blois, Thurs Jan 31, 4:30-6:00, BA6180
Title: Path-Ordered Exponentials
Abstract: In this talk, we will look at calculus through a new lens as we approach the definition of the path-ordered exponential. We will see that the path-ordered exponential arises naturally in the solution of first-order linear systems of ODEs (with variable coefficients) and is also a stepping stone toward path integrals in quantum physics.
99% of this talk will be accessible to undergraduates that have some experience with introductory analysis and linear algebra. However, 1% will be accessible to no one, because it will be utter nonsense.
Yu-Wen Hsu, Wed Jan 30, 5:00-6:30, BA6180
Title: The Power of Geometric Evolution Flow
Abstract: What numerical characteristics do geometric shapes have? You will probably think of the length of a curve, or the volume of a 3-dimensional shape, or an angle between two directions in space. In this talk we will discuss a characteristic of curves called curvature, which measures the sharpness of a turn while moving along a path.
It turns out that this characteristic controls the process of curve evolution, called the CSF, “curve shortening flow”. We will talk about some important work that was done in the 80s on curves in R^2 and see how the CSF can reshape a curve.
Steve Bennoun, Thurs Jan 24, 4:30-6:00 pm, BA6180. Pizza.
Title: A Peek into Category Theory
Abstract: Have you ever heard about categories? What are they? What are they useful for?
We will start the following question: take two groups G and H and look at the set of homomorphisms between them. Does this set have a group structure? To answer this question, we will introduce some basic notions of category theory. We will reformulate our question in categorical terms and then see how categories help us solve it. Along the way, we’ll define what categories and functors are and look at examples. We’ll actually see that many mathematical objects we know are categories.
You can bring your 25$ to the 6th floor Bahen undergrad lounge at the following times this week:
Monday, Jan 21: 11-12:30, 1-3
Tuesday, Jan 22: 11-12, 1:30-3
Wednesday, Jan 23: 11-12, 1-3
Thursday, Jan 24: 11-12, 1-3
Friday, Jan 25: 12-2:30
Make sure you give your money to one of the execs or officers listed here: https://mu.math.toronto.edu/home/exec-team/
MU Hoodies are here!!
Hoodies are $25 each. Payment must be made in CASH only (exact change preferred). To order, first fill out the online order form, and then bring the $$ to the Bahen 6th floor Undergrad lounge over the next two weeks. A list of times of when you can pay for your hoodie will be posted over the weekend.
Lindsey Shorser, Thurs Jan 17, 12:30-2:00 pm, BA6180. Pizza.
Title: Categories: What, Why, and How – An Introduction
Abstract: Category theory can be seen as a language that allows common features to be abstracted out of mathematical objects such as sets, vector spaces, groups, topological spaces, etc. In this talk, we will look at the flavour of categorical thinking with same basic definitions and examples. Then we will discuss commutative diagrams and why homological algebra and category theory are inextricably intertwined.
Fabian Parsch, Wed Jan 16, 5:10 – 6:00, BA6183. Pizza begins at 4:30.
Title: Fantastic Nets and Where to Find Them