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 (aka Donut Seminar) is an informal, graduate student seminar on a wide range of mathematical topics. The goal of the seminar is to promote community building and give graduate students an opportunity to communicate fun, accessible math to their peers in a stress-free (but not sugar-free) environment. Pastries (usually donuts) will be provided.
  
* '''When:''' Wednesdays, 3:20 PM – 3:50 PM
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* '''When:''' Wednesdays, 3:30 PM – 4:00 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://people.math.wisc.edu/~ywu495/ Yandi Wu], Maya Banks
  
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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Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 25 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.
  
 
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 2021 ==
  
 +
=== September 29, John Cobb ===
  
=== September 26, Vladimir Sotirov ===
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Title: Rooms on a Sphere
  
Title: Geometric Algebra
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Abstract: A classic combinatorial lemma becomes very simple to state and prove when on the surface of a sphere, leading to easy constructive proofs of some other well known theorems.
  
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 6, Karan Srivastava ===
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: An 'almost impossible' puzzle and group theory
  
Title: Kissing Conics
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Abstract: You're given a chessboard with a randomly oriented coin on every square and a key hidden under one of them; player one knows where the key is and flips a single coin; player 2, using only the information of the new coin arrangement must determine where the key is. Is there a winning strategy? In this talk, we will explore this classic puzzle in a more generalized context, with n squares and d sided dice on every square. We'll see when the game is solvable and in doing so, see how the answer relies on group theory and the existence of certain groups.
  
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 13, John Yin ===
  
=== October 10, Kurt Ehlert ===
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Title: TBA
  
Title: How to bet when gambling
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Abstract: TBA
  
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.
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=== October 20, Varun Gudibanda ===
  
=== October 17, Bryan Oakley ===
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Title: TBA
  
Title: Mixing rates
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Abstract: TBA
  
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.
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=== October 27, Andrew Krenz ===
  
=== October 24, Micky Soule Steinberg ===
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Title: The 3-sphere via the Hopf fibration
  
Title: TBD
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Abstract: The Hopf fibration is a map from $S^3$ to $S^2$.  The preimage (or fiber) of every point under this map is a copy of $S^1$.  In this talk I will explain exactly how these circles “fit together” inside the 3-sphere.  Along the way we’ll discover some other interesting facts in some hands-on demonstrations using paper and scissors.  If there is time I hope to also relate our new understanding of $S^3$ to some other familiar models.
  
Abstract: TBD
 
  
=== October 31, Sun Woo Park ===
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=== November 3, TBA ===
  
Title: Induced and Restricted Representations of a Sequence of Groups
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Title: TBA
  
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> G_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>.
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Abstract: TBA
  
=== November 7, TBD ===
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=== November 10, TBA ===
  
Title: TBD
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Title: TBA
  
Abstract: TBD
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Abstract: TBA
  
=== November 14, Soumya Sankar ===
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=== November 17, TBA ===
  
Title: TBD
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Title: TBA
  
Abstract: TBD
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Abstract: TBA
  
=== November 21, Cancelled due to Thanksgiving===
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=== November 24, TBA ===
  
Title: TBD
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Title: TBA
  
Abstract: TBD
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Abstract: TBA
  
=== November 28, Niudun Wang ===
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=== December 1, TBA ===
  
Title: TBD
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Title: TBA
  
Abstract: TBD
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Abstract: TBA
  
=== December 5, Patrick Nicodemus ===
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=== December 8, TBA ===
  
Title: Applications of Algorithmic Randomness and Complexity
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Title: TBA
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 ===
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Abstract: TBA
 
 
Title: TBD
 
 
 
Abstract: TBD
 

Latest revision as of 15:39, 1 October 2021

The AMS Student Chapter Seminar (aka Donut Seminar) is an informal, graduate student seminar on a wide range of mathematical topics. The goal of the seminar is to promote community building and give graduate students an opportunity to communicate fun, accessible math to their peers in a stress-free (but not sugar-free) environment. Pastries (usually donuts) will be provided.

  • When: Wednesdays, 3:30 PM – 4:00 PM
  • Where: Van Vleck, 9th floor lounge (unless otherwise announced)
  • Organizers: Yandi Wu, Maya Banks

Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 25 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 2021

September 29, John Cobb

Title: Rooms on a Sphere

Abstract: A classic combinatorial lemma becomes very simple to state and prove when on the surface of a sphere, leading to easy constructive proofs of some other well known theorems.

October 6, Karan Srivastava

Title: An 'almost impossible' puzzle and group theory

Abstract: You're given a chessboard with a randomly oriented coin on every square and a key hidden under one of them; player one knows where the key is and flips a single coin; player 2, using only the information of the new coin arrangement must determine where the key is. Is there a winning strategy? In this talk, we will explore this classic puzzle in a more generalized context, with n squares and d sided dice on every square. We'll see when the game is solvable and in doing so, see how the answer relies on group theory and the existence of certain groups.

October 13, John Yin

Title: TBA

Abstract: TBA

October 20, Varun Gudibanda

Title: TBA

Abstract: TBA

October 27, Andrew Krenz

Title: The 3-sphere via the Hopf fibration

Abstract: The Hopf fibration is a map from $S^3$ to $S^2$. The preimage (or fiber) of every point under this map is a copy of $S^1$. In this talk I will explain exactly how these circles “fit together” inside the 3-sphere. Along the way we’ll discover some other interesting facts in some hands-on demonstrations using paper and scissors. If there is time I hope to also relate our new understanding of $S^3$ to some other familiar models.


November 3, TBA

Title: TBA

Abstract: TBA

November 10, TBA

Title: TBA

Abstract: TBA

November 17, TBA

Title: TBA

Abstract: TBA

November 24, TBA

Title: TBA

Abstract: TBA

December 1, TBA

Title: TBA

Abstract: TBA

December 8, TBA

Title: TBA

Abstract: TBA