The Graduate Student Seminar is put on by the Mathematics Graduate Student Association . GSS meets approximately every other Monday.
All talks are at 4:15 in HH231 (Fall)/ HH229 (Spring) unless otherwise noted.
To volunteer to give a talk, or for anything else regarding the seminar, contact Justin Hilyard.
| Date | Speaker | Title |
|---|---|---|
| Monday, September 3 | Juan Migliore | A modern algebraic view of a classical geometric result |
| Monday, September 17 | Martha Precup | The Geometry of Hessenberg Varieties |
| Monday, October 1 | Melissa Davidson | Where did THAT come from? |
| Monday, October 22 | Quinn Culver | The Recursion Theorem |
| Monday, November 5 | Joshua Lioi | When Zombies Attack! |
| Monday, November 19 | Victor OcasioGonzalez | TBD |
| Monday, December 3 | TBD | TBD |
Pascal's theorem says that if a hexagon is inscribed in a conic, the three points of intersection of pairs of opposite sides of the hexagon are collinear. This turns out, in the end, to be a simple but surprising application of a modern algebraic theory (liaison theory). We'll start off looking at how many points we expect two plane curves to meet in, look at a result about cubic curves commonly called the Cayley-Bacharach theorem but actually due to Chasles, and then apply this to Pascal's situation. Then we'll see how Chasles' theorem is a special case of "the Hilbert function for linked sets of points," and see that results of that sort are easy to obtain.
Lie theoretic tools can be used to answer geometric questions about Hessenberg varieties, a family of subvarieties of the flag variety associated to an algebraic group G. We will show that structure of these varieties, including some open questions about connectedness, singularities, and irreducible components, is related to the root space decomposition of the Lie algebra 𝔤 corresponding to G.
Have you ever looked at a theorem or equation and wondered how on earth somebody ever thought of it? Today's your lucky day! We will trace the history of a specific solitary wave equation. Starting from the deep depths of time, we will travel through the eras and meet Pythagorus, Euler, and many others. Our journey will end with the Ostrovsky equation. This talk assumes you know how to spell your first name on a math exam. No other math is required.
Behold ye! I am the self-referentialator,
Empowering would-be quine creators.
Proof simplificator, mystificator.
I am the virus propagator,
The vanguard of the supreme trick logical,
The point-fixer of all functions computable.
Lean upon me for intelligence artificial,
And as a bulwark against escapes diagonal.
I, too, charge you that you make preparation
to be worthy to meet me, by your creation
in any language of a computation
that outputs its own instructions.
Though a fine messenger Q. might be,
This lecture stems from me, is of me.
Nay! I'm neither Turing nor Kleene,
Though they are both patres mihi.
The impending zombie apocalypse has been well documented in film, television, books, and video games. If we are to survive, we will need to be prepared. How better to prepare ourselves than with mathematics? Differential equations are a useful tool in the realm of applied mathematics. They can be used to study the spread of disease in a population, and might be our best hope for determining a strategy for dealing with this undead threat.