Difference between revisions of "AMS Student Chapter Seminar"

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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.
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The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.
  
 
* '''When:''' Wednesdays, 3:20 PM – 3:50 PM
 
* '''When:''' Wednesdays, 3:20 PM – 3:50 PM
 
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)
 
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu]
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* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen
  
 
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.
 
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.
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The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].
 
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].
  
== Fall 2018 ==
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== Fall 2019 ==
  
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=== October 9, Brandon Boggess===
  
=== September 26, Vladimir Sotirov ===
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Title: TBD
  
Title: Geometric Algebra
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Abstract: TBD
  
Abstract: Geometric algebra, developed at the end of the 19th century by Grassman, Clifford, and Lipschitz, is the forgotten progenitor of the linear algebra we use to this day developed by Gibbs and Heaviside.
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=== October 16, TBD===
In this short introduction, I will use geometric algebra to do two things. First, I will construct the field of complex numbers and the division algebra of the quaternions in a coordinate-free way. Second, I will derive the geometric interpretation of complex numbers and quaternions as representations of rotations in 2- and 3-dimensional space.
 
  
=== October 3, Juliette Bruce ===
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Title: TBD
  
Title: Kissing Conics
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Abstract: TBD
  
Abstract: Have you every wondered how you can easily tell when two plane conics kiss (i.e. are tangent to each other at a point)? If so this talk is for you, if not, well there will be donuts.
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=== October 23, TBD===
  
=== October 10, Kurt Ehlert ===
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Title: TBD
  
Title: How to bet when gambling
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Abstract: TBD
 
 
Abstract: When gambling, typically casinos have the edge. But sometimes we can gain an edge by counting cards or other means. And sometimes we have an edge in the biggest casino of all: the financial markets. When we do have an advantage, then we still need to decide how much to bet. Bet too little, and we leave money on the table. Bet too much, and we risk financial ruin. We will discuss the "Kelly criterion", which is a betting strategy that is optimal in many senses.
 
  
=== October 17, Bryan Oakley ===
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=== October 30, TBD===
 
 
Title: Mixing rates
 
 
 
Abstract: Mixing is a necessary step in many areas from biology and atmospheric sciences to smoothies. Because we are impatient, the goal is usually to improve the rate at which a substance homogenizes. In this talk we define and quantify mixing and rates of mixing. We present some history of the field as well as current research and open questions.
 
 
 
=== October 24, Micky Soule Steinberg ===
 
  
 
Title: TBD
 
Title: TBD
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Abstract: TBD
 
Abstract: TBD
  
=== October 31, Sun Woo Park ===
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=== November 6, TBD===
 
 
Title: Induced and Restricted Representations of a Sequence of Groups
 
 
 
Abstract: Given a sequence of groups <math> G_n \supset G_{n-1} \supset \cdots \supset G_2 \supset G_1 = \{1\} </math>, we can construct a formal ring of induction-restriction operators on <math> S_n </math>, which we denote by <math> \mathbb{Z} \langle Ind(Res), Ind^2(Res^2), \cdots, Ind^n(Res^n) \rangle </math>. Using Frobenius reciprocity, we will show that the formal ring for any group <math> G_n </math> is in fact a commutative polynomial ring of 1 variable. If time allows, we will also show that for a sequence of symmetric groups <math> S_n \supset S_{n-1} \supset \cdots \supset S_2 \supset S_1 = \{1\} </math>, the formal ring of <math> S_n </math>  isomorphic to a polynomial ring <math> \mathbb{Z}[x]/(f(x)) </math>, where <math>f(x)</math> is a polynomial of degree <math> n </math>.
 
 
 
=== November 7, TBD ===
 
  
 
Title: TBD
 
Title: TBD
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Abstract: TBD
 
Abstract: TBD
  
=== November 14, Soumya Sankar ===
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=== November 13, TBD===
  
 
Title: TBD
 
Title: TBD
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Abstract: TBD
 
Abstract: TBD
  
=== November 21, Cancelled due to Thanksgiving===
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=== November 20, TBD===
  
 
Title: TBD
 
Title: TBD
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Abstract: TBD
 
Abstract: TBD
  
=== November 28, Niudun Wang ===
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=== December 4, TBD===
  
 
Title: TBD
 
Title: TBD
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Abstract: TBD
 
Abstract: TBD
  
=== December 5, Patrick Nicodemus ===
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=== December 11, TBD===
 
 
Title: Applications of Algorithmic Randomness and Complexity
 
Abstract: I will introduce the fascinating field of Kolmogorov Complexity and point out its applications in such varied areas as combinatorics, statistical inference and mathematical logic. In fact the Prime Number theorem, machine learning and Godel's Incompleteness theorem can all be investigated fruitfully through a wonderful common lens.
 
 
 
=== December 12, TBD ===
 
  
 
Title: TBD
 
Title: TBD
  
 
Abstract: TBD
 
Abstract: TBD

Latest revision as of 17:38, 20 September 2019

The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.

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.

Fall 2019

October 9, Brandon Boggess

Title: TBD

Abstract: TBD

October 16, TBD

Title: TBD

Abstract: TBD

October 23, TBD

Title: TBD

Abstract: TBD

October 30, TBD

Title: TBD

Abstract: TBD

November 6, TBD

Title: TBD

Abstract: TBD

November 13, TBD

Title: TBD

Abstract: TBD

November 20, TBD

Title: TBD

Abstract: TBD

December 4, TBD

Title: TBD

Abstract: TBD

December 11, TBD

Title: TBD

Abstract: TBD