AMS Student Chapter Seminar: Difference between revisions
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Title: An instructive yet useless theorem about random Fourier Series | Title: An instructive yet useless theorem about random Fourier Series | ||
Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An <math>L^{p}</math> function? A surprising yet beautiful result is the Billard theorem, which says such a series results almost surely from an <math>L^{\infty}</math> function if and only if it results almost surely from a continuous function. Although the theorem in of itself is kind of useless in of itself, its proof is instructive in that we will see how, via | Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An <math>L^{p}</math> function? A surprising yet beautiful result is the Billard theorem, which says such a series results almost surely from an <math>L^{\infty}</math> function if and only if it results almost surely from a continuous function. Although the theorem in of itself is kind of useless in of itself, its proof is instructive in that we will see how, via the principle of reduction, one can usually just pretend all symmetric random variables are just coin flips (Bernoulli trials with outcomes <math>\pm 1</math>). | ||
=== February 20, Geoff Bentsen === | === February 20, Geoff Bentsen === | ||
Revision as of 01:55, 13 February 2019
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, 3:20 PM – 3:50 PM
- Where: Van Vleck, 9th floor lounge (unless otherwise announced)
- Organizers: Michel Alexis, David Wagner, Patrick Nicodemus, Son Tu
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.
Spring 2019
February 6, Xiao Shen (in VV B139)
Title: Limit Shape in last passage percolation
Abstract: Imagine the following situation, attached to each point on the integer lattice Z^2 there is an arbitrary amount of donuts. Fix x and y in Z^2, if you get to eat all the donuts along an up-right path between these two points, what would be the maximum amount of donuts you can get? This model is often called last passage percolation, and I will discuss a classical result about its scaling limit: what happens if we zoom out and let the distance between x and y tend to infinity.
February 13, Michel Alexis (in VV B139)
Title: An instructive yet useless theorem about random Fourier Series
Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An [math]\displaystyle{ L^{p} }[/math] function? A surprising yet beautiful result is the Billard theorem, which says such a series results almost surely from an [math]\displaystyle{ L^{\infty} }[/math] function if and only if it results almost surely from a continuous function. Although the theorem in of itself is kind of useless in of itself, its proof is instructive in that we will see how, via the principle of reduction, one can usually just pretend all symmetric random variables are just coin flips (Bernoulli trials with outcomes [math]\displaystyle{ \pm 1 }[/math]).
February 20, Geoff Bentsen
Title: TBD
Abstract: TBD
February 27, TBD
Title: TBD
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March 6, Working Group to establish an Association of Mathematics Graduate Students
Title: Math and Government
Abstract: TBD
March 13, TBD
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Abstract: TBD
March 26 (Prospective Student Visit Day), Multiple Speakers
Eva Elduque
Title: TBD
Abstract: TBD
Rajula Srivastava
Title: TBD
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Soumya Sankar
Title: TBD
Abstract: TBD
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April 3, TBD
Title: TBD
Abstract: TBD
April 10, TBD
Title: TBD
Abstract: TBD
April 17, Hyun-Jong
Title: TBD
Abstract: TBD
April 24, TBD
Title: TBD
Abstract: TBD