No Theory Seminar -- Spring 2015

Logistics:
We meet Thursdays at 1:30pm in Eckhart 203.

If you want to be added to the mailing list, e-mail me (Sean).

What is No Theory Seminar?
No Theory Seminar is the student number theory seminar at UChicago -- the name, inspired by a typo in the common abbreviation "No."=Number, reflects the focus on short examples, computations, or exercises, rather than proofs and theorems.

In the seminar, students will present on specific and concrete topics that have come up in their own work or reading. While the level of the talks may vary wildly with the speaker, all speakers should strive to make their talks:
* Self-contained -- recall notations used, and don't assume knowledge from prior talks.
* Accessible -- even if a beginning graduate student can't follow an entire talk, they should still be able to get something useful out of it.
* Concrete -- examples and computations instead of theorems and proofs.
* Interesting -- try to explain a computation you know not everyone in the audience has done (feel free to ask your fellow students if they think something will be a good topic!)

Speakers are also encouraged to make notes available after their talks. E-mail typed notes or a scan to the seminar organizer (Sean) to be put on the website.

Past No Theory Seminars:
Fall 2014
Winter 2015

Schedule
2015-04-09 -- Sean, What's in a level?
Abstract: Everyone knows that elliptic curves over Q correspond to weight 2 newforms, but why do we see the levels we see? I'll explain some part of this (using Langlands for GL_2 as input), and hopefully some other level phenomenon for modular forms.

2015-04-16 -- Jonathan, Satake Isomorphism
Abstract: I will give a survey on some aspects of the Satake isomorphism. I will discuss the proof (vaguely), then how Satake relates to unramified principal series and spherical functions. I will briefly discuss the Langlands point of view considering irreducible representations of the Langlands dual group. There will probably be theory but not many prerequisites.

2015-04-23 -- Simion, How to count?
Abstract: The classical Gauss circle problem asks for the number of integer points in the plane that are at distance R from the origin. I will talk about variants of this problem in the hyperbolic plane and other locally symmetric spaces. Counting integral points on general homogeneous spaces developed into an industry, and it uses tools from dynamics and sometimes automorphic forms. I hope to discuss both aspects.

2015-04-30 -- No seminar; the regular NT seminar will be using our room for an extra session

2015-05-7 -- Yiwen, TBA
Abstract: TBA

2015-05-14 -- Jeff, TBA
Abstract: TBA

2015-05-21 -- Fan, TBA
Abstract: TBA

2015-05-28 -- Yun, TBA
Abstract: TBA

2015-06-04 -- Zhiyuan, TBA
Abstract: TBA