Difference between revisions of "AMS Student Chapter Seminar"
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Abstract: A geometric n-configuration is a collection of points and lines in the Euclidean plane such that each point lies on exactly n lines and each line passes through n points. While the study of 3-configurations dates to the nineteenth century, the first example of a 4-configuration appeared only in 1990. I will say a few things about 4-configurations and state an unsolved problem, and I hope that someone in the audience will decide to work on it. There will be nice pictures and a shout-out to the singular value decomposition. | Abstract: A geometric n-configuration is a collection of points and lines in the Euclidean plane such that each point lies on exactly n lines and each line passes through n points. While the study of 3-configurations dates to the nineteenth century, the first example of a 4-configuration appeared only in 1990. I will say a few things about 4-configurations and state an unsolved problem, and I hope that someone in the audience will decide to work on it. There will be nice pictures and a shout-out to the singular value decomposition. | ||
− | === December 14, | + | === December 14, Paul Tveite === |
Revision as of 12:22, 30 November 2016
The AMS Student Chapter Seminar is an informal, graduate student-run seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.
- When: Wednesdays, 3:30 PM – 4:00 PM
- Where: Van Vleck, 9th floor lounge (unless otherwise announced)
- Organizers: Daniel Hast, Ryan Julian, Cullen McDonald, Zachary Charles
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.
The schedule of talks from past semesters can be found here.
Contents
Fall 2016
October 12, Soumya Sankar
Title: Primes of certain forms and covering systems
Abstract: A lot of classical questions revolve around primes of the form 2^n + k, where k is an odd integer. I will talk about such primes, or the lack thereof, and use this to convert coffee into covering systems. Time permitting, I'll talk about a few cool results and conjectures related to the notion of covering systems.
October 19, Daniel Hast
Title: A combinatorial lemma in linear algebra
Abstract: I'll talk about a fun little lemma in linear algebra and its combinatorial interpretation. (It might be "well-known" to someone, but I'd never heard of it before.) If there's time, I'll discuss some possible generalizations.
October 26, Brandon Alberts
Title: An Introduction to Matroids
Abstract: What if you wanted to do linear algebra, but couldn't use addition or scalar multiplication? Can we still have a notion of independence and bases? The answer is yes, and these are called matroids. Not only will I introduce matroids, but I will give an example that shows not all matroids arise from vector spaces.
November 2, Vlad Matei
Title: Hadamard Matrices
Abstract: A Hadamard matrix is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal. The most important open question in the theory of Hadamard matrices is that of existence. The Hadamard conjecture proposes that a Hadamard matrix of order 4k exists for every positive integer k. The Hadamard conjecture has also been attributed to Paley, although it was considered implicitly by others prior to Paley's work.
November 9, David Bruce
Title: Some Numbers Are Sometimes Bigger Than Others (Sometimes...)
Abstract: I will write down two numbers and show that one of them is larger than the other.
November 16, Solly Parenti
Title: The Congruent Number Problem
Abstract: To add to the over-romanticization of number theory, I will talk about a simple to state problem about triangles that quickly leads into very difficult open problems in modern number theory.
November 30, Iván Ongay Valverde
Title: Games for fun, games to change the world, games, games, games
Abstract: We will talk about infinite perfect information games. We will discuss different uses for these games, and we will see that some of them have interesting information for us that helps determine some properties of subsets of reals. Can games change the world? Can we use them in a non-intrusive way? Join to have fun with games, since they are games!
December 7, Will Mitchell
Title: An unsolved isomorphism problem from plane geometry
Abstract: A geometric n-configuration is a collection of points and lines in the Euclidean plane such that each point lies on exactly n lines and each line passes through n points. While the study of 3-configurations dates to the nineteenth century, the first example of a 4-configuration appeared only in 1990. I will say a few things about 4-configurations and state an unsolved problem, and I hope that someone in the audience will decide to work on it. There will be nice pictures and a shout-out to the singular value decomposition.