Seminars and Colloquia by Series

Off the rails: Train tracks on surfaces

Series
Undergraduate Seminar
Time
Monday, September 28, 2020 - 15:30 for 1 hour (actually 50 minutes)
Location
Bluejeans meeting https://bluejeans.com/759112674
Speaker
Dr. Marissa LovingGeorgia Tech

Our mantra throughout the talk will be simple, "Train tracks approximate simple closed curves." Our goal will be to explore some examples of train tracks, draw some meaningful pictures, and develop an analogy between train tracks and another well known method of approximation. No great knowledge of anything is required for this talk as long as one is willing to squint their eyes at their computer's screen a bit at times.

Exploration of convex geometry in high dimension

Series
Undergraduate Seminar
Time
Monday, September 21, 2020 - 15:30 for 1 hour (actually 50 minutes)
Location
Bluejeans meeting https://bluejeans.com/759112674
Speaker
Han HuangGeorgia Tech

A ball and a cube looks so different, but in higher dimension, it turns out a high dimensional ball and a high dimensional cube could be hard to distinguish them. Our intuitions on 3 dimensional geometry often fails in higher dimension! In this talk, we will start from the basic mathematical definition of high dimensional spaces. Then we will explore some phenomenons of high dimensional convex geometry. In the end, we will show how these nice observations could be applied to speed up algorithms in computer science. 

 

 

Probabilistic Method in Combinatorics

Series
Undergraduate Seminar
Time
Monday, September 14, 2020 - 15:30 for 1 hour (actually 50 minutes)
Location
Bluejeans meeting https://bluejeans.com/759112674
Speaker
Dr. Lutz WarnkeGeorgia Tech
The Probabilistic Method is a powerful tool for tackling many problems in discrete mathematics and related areas. Roughly speaking, its basic idea can be described as follows. In order to prove existence of a combinatorial structure with certain properties, we construct an appropriate probability space, and show that a randomly chosen element of this space has the desired property with positive probability. In this talk we shall give a gentle introduction to the Probabilistic Method, with an emphasis on examples.

Mathematics, Lots of Data, and Uncertainty

Series
Undergraduate Seminar
Time
Monday, August 31, 2020 - 15:30 for 1 hour (actually 50 minutes)
Location
Devilered live remotely via Bluejeans https://bluejeans.com/759112674
Speaker
Dr. Michael LaceyGeorgia Tech

Please Note: Join us live via Bluejeans https://bluejeans.com/759112674 for this talk.

Mathematics can help all of us sort through some complicated scenarios, with changing inputs, and changing conclusions.  I will illustrate this with some examples.  Porker hands and Jury selection bias:  Expert testimony that I gave in a death penalty case.  Specificity of testing:  A random person tests positive for COVID.  Do they have the disease?  Designing pooled testing for the disease.  When is it effective?

Dynamics and Noise in Optimization Algorithms

Series
Undergraduate Seminar
Time
Monday, August 24, 2020 - 15:30 for 1 hour (actually 50 minutes)
Location
Bluejeans meeting https://bluejeans.com/759112674
Speaker
Yihua Xu and Ariba KhanGeorgia Tech
Our topic is around the Dynamics and noise in optimization algorithms. And our research is based on the Gradient Descent algorithm and extends the algorithm by certain variations, as we called Linearized Bregman and Iterative Shrinkage Thresholding Algorithm. We will examine the choice of different variations and mimic what in real world works best for each algorithm. Yeah, so stay tuned, and we will be talking more in our presentation! 

How Quadratic Reciprocity is like Dealing Cards

Series
Undergraduate Seminar
Time
Monday, August 17, 2020 - 15:30 for 1 hour (actually 50 minutes)
Location
Bluejeans meeting: https://gatech.bluejeans.com/759112674
Speaker
Dr. Matt BakerGeorgia Institute of Technology

Please Note: The live talk will be broadcast on Bluejeans: https://gatech.bluejeans.com/759112674

I will present a proof of Gauss's Law of Quadratic Reciprocity based on permutations and the mathematics of dealing cards.

Domino Tilings of the Chessboard: An Introduction to Sampling and Counting

Series
Undergraduate Seminar
Time
Monday, December 2, 2019 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
Dana RandallGeorgia Tech

Domino tilings of finite grid regions have been studied in many contexts, revealing rich combinatorial structure.  They arise in applications spanning physics, computer science and probability theory and recreational mathematics.  We will look at questions such as counting and sampling from large combinatorial sets, such as the set of domino tilings, providing a small sample of some of the techniques that are used.  

 

Thinking Outside the Circle

Series
Undergraduate Seminar
Time
Monday, November 25, 2019 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
Dr. Evans HarrellGeorgia Tech

Did you know that a wheel or a ball bearing does not need to be round? Convex regions that can roll smoothly come in many remarkable shapes and have practical applications in engineering and science. Moreover, the mathematics used to describe them, known as convex geometry, is a subject that beautifully ties together analysis and geometry. I'll bring some of these objects along and tell the class how to describe them effectively and recount their interesting history.

Surfaces and their Symmetries

Series
Undergraduate Seminar
Time
Monday, November 18, 2019 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
Justin LanierGeorgia Tech

Surfaces are some of the most basic examples of spaces. Although topologists have studied surfaces for a long time, they continue to fascinate. I'll give an overview of the study of surfaces over the past 150 years by highlighting work of seven mathematicians. We'll discuss the classification of surfaces, and we'll also discuss mapping class groups, which are collections of symmetries of surfaces. I'll also give the flavor of four of my own research projects about surfaces, one for each of four broad mathematical areas: group theory, geometry, topology, and dynamics.

Introduction to the Probabilistic Method

Series
Undergraduate Seminar
Time
Monday, November 4, 2019 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
Lutz WarnkeGeorgia Tech

The Probabilistic Method is a powerful tool for tackling many problems in discrete mathematics and related areas.
Roughly speaking, its basic idea can be described as follows. In order to prove existence of a combinatorial structure with certain properties, we construct an appropriate probability space, and show that a randomly chosen element of this space has the desired property with positive probability.
In this talk we shall give a gentle introduction to the Probabilistic Method, with an emphasis on examples.

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