# AMS Student Chapter Seminar: Difference between revisions

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=== February 13, Michel Alexis (in VV B139)=== | === February 13, Michel Alexis (in VV B139)=== | ||

Title: A useless theorem about random Fourier Series | Title: A cute useless theorem about random Fourier Series | ||

Abstract: | Abstract: Consider a Fourier series with random, symmetric, independent coefficients. One might wonder 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. Within the context of this theorem, we will discuss why the only independent symmetric, random variables which matters are Rademacher functions (coin flips), and if time permits, I will explain why this theorem is useless. | ||

=== February 20, Geoff Bentsen === | === February 20, Geoff Bentsen === |

## Revision as of 00:50, 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: A cute useless theorem about random Fourier Series

Abstract: Consider a Fourier series with random, symmetric, independent coefficients. One might wonder 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. Within the context of this theorem, we will discuss why the only independent symmetric, random variables which matters are Rademacher functions (coin flips), and if time permits, I will explain why this theorem is useless.

### 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

Title: TBD

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### March 26 (Prospective Student Visit Day), Multiple Speakers

#### Eva Elduque

Title: TBD

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#### Rajula Srivastava

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#### Soumya Sankar

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### April 3, TBD

Title: TBD

Abstract: TBD

### April 10, TBD

Title: TBD

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### April 17, Hyun-Jong

Title: TBD

Abstract: TBD

### April 24, TBD

Title: TBD

Abstract: TBD