Difference between revisions of "AMS Student Chapter Seminar"

From Math
Jump to: navigation, search
(Moving previous semesters of the AMS Student Chapter Seminar to a separate page.)
 
(33 intermediate revisions by 6 users not shown)
Line 1: Line 1:
 
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.
 
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, 3:30 PM – 4:00 PM
+
* '''When:''' Wednesdays, 3:00 PM – 3:30 PM
* '''Where:''' Van Vleck, B115
+
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)
* '''Organizers:''' Daniel Hast, Ryan Julian, Cullen McDonald, Zachary Charles
+
* '''Organizers:''' [https://www.math.wisc.edu/~hast/ Daniel Hast], [https://www.math.wisc.edu/~mrjulian/ Ryan Julian], Cullen McDonald, [https://www.math.wisc.edu/~zcharles/ Zachary Charles]
  
 
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.
Line 9: Line 9:
 
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 2016 ==
+
== Spring 2017 ==
  
=== October 12, Soumya Sankar ===
+
=== January 25, Brandon Alberts ===
  
Title: Primes of certain forms and covering systems
+
Title: Ultraproducts - they aren't just for logicians
  
Abstract: A lot of classical questions revolve around primes of the form 2^n + k, where k is an odd integer. I will talk about such primes, or the lack thereof, and use this to convert coffee into covering systems. Time permitting, I'll talk about a few cool results and conjectures related to the notion of covering systems.
+
Abstract: If any of you have attended a logic talk (or one of Ivan's donut seminar talks) you may have learned about ultraproducts as a weird way to mash sets together to get bigger sets in a nice way. Something particularly useful to set theorists, but maybe not so obviously useful to the rest of us. I will give an accessible introduction to ultraproducts and motivate their use in other areas of mathematics.
  
=== October 19, Daniel Hast ===
+
=== February 1, Megan Maguire ===
  
Title: A combinatorial lemma in linear algebra
+
Title: Hyperbolic crochet workshop
  
Abstract: I'll talk about a fun little lemma in linear algebra and its combinatorial interpretation. (It might be "well-known" to someone, but I'd never heard of it before.) If there's time, I'll discuss some possible generalizations.
+
Abstract: TBA
  
=== October 26, Brandon Alberts ===
+
=== February 8, Cullen McDonald ===
  
Title: An Introduction to Matroids
+
=== February 15, Paul Tveite ===
  
Abstract: What if you wanted to do linear algebra, but couldn't use addition or scalar multiplication? Can we still have a notion of independence and bases? The answer is yes, and these are called matroids. Not only will I introduce matroids, but I will give an example that shows not all matroids arise from vector spaces.
+
Title: Fun with Hamel Bases!
  
=== November 2, Vlad Matei ===
+
Abstract: If we view the real numbers as a vector field over the rationals, then of course they have a basis (assuming the AOC). This is called a Hamel basis and allows us to do some cool things. Among other things, we will define two periodic functions that sum to the identity function.
  
Title: Hadamard Matrices
+
=== February 22, Wil Cocke ===
  
Abstract: A Hadamard matrix is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal. The most important open question in the theory of Hadamard matrices is that of existence. The Hadamard conjecture proposes that a Hadamard matrix of order 4k exists for every positive integer k. The Hadamard conjecture has also been attributed to Paley, although it was considered implicitly by others prior to Paley's work.
+
Title: Practical Graph Isomorphism
  
=== November 9, David Bruce ===
+
Abstract: Some graphs are different and some graphs are the same. Sometimes graphs differ only in name. When you give me a graph, you've picked an order. But, is it the same graph across every border?
  
Title: Some Numbers Are Sometimes Bigger Than Others (Sometimes...)
+
=== March 1, Megan Maguire ===
  
Abstract: I will write down two numbers and show that one of them is larger than the other.
+
Title: I stole this talk from Jordan.
  
=== November 16, Solly Parenti ===
+
Abstract: Stability is cool! And sometimes things we think don't have stability secretly do. This is an abridged version of a very cool talk I've seen Jordan give a couple times. All credit goes to him. Man, I should have stolen his abstract too.
  
Title: TBA
+
=== March 7, Liban Mohamed ===
  
Abstract: TBA
+
Title: Strichartz Estimates from Qualitative to Quantitative
 +
 
 +
Abstract: Strichartz estimates are inequalities that give one way understand the decay of solutions to dispersive PDEs. This talk is an attempt to reconcile the formal statements with physical intuition.
 +
 
 +
=== March 15, Zachary Charles ===
 +
 
 +
Title: Netflix Problem and Chill
 +
 
 +
Abstract: How are machine learning, matrix analysis, and Napoleon Dynamite related? Come find out!
 +
 
 +
=== April 5, Vlad Matei ===
 +
 
 +
=== April 12, Micky Steinberg ===
 +
 
 +
Title: Groups as metric spaces
 +
 
 +
Abstract: Given a group as a set of generators and relations, we can define the “word metric” on the group as the length of the shortest word “between” two elements. This isn’t well-defined, since different generating sets give different metrics, but it is well-defined up to “quasi-isometry”.  Come find out what we can do with this! There will lots of pictures and hand-waving!
 +
 
 +
=== April 19, Solly Parenti ===
 +
 
 +
Title: Elementary Integration
 +
 
 +
Abstract: Are you like me? Have you also told your calculus students that finding the antiderivative of e^(-x^2) is impossible? Do you also only have a slight idea about how to prove it? Come find out more about the proof and free yourself of that guilt.
 +
 
 +
=== April 26, Ben Bruce ===
  
=== November 30, TBA ===
+
Title: Permutation models
  
=== December 7, Will Mitchell ===
+
Abstract: Permutation models belong to a version of axiomatic set theory known as "set theory with atoms." I will give some examples of permutation models and highlight their connection to the axiom of choice and notions of infinity. There will be concrete examples, and no prior knowledge of set theory is required.
  
Title: An unsolved isomorphism problem from plane geometry
+
=== May 3, Iván Ongay-Valverde ===
  
Abstract: A geometric n-configuration is a collection of points and lines in the Euclidean plane such that each point lies on exactly n lines and each line passes through n points. While the study of 3-configurations dates to the nineteenth century, the first example of a 4-configuration appeared only in 1990.  I will say a few things about 4-configurations and state an unsolved problem, and I hope that someone in the audience will decide to work on it.  There will be nice pictures and a shout-out to the singular value decomposition.
+
Title: Living with countably many reals?
  
=== December 14, TBA ===
+
Abstract: Can I make you believe that a countable set of reals are all the reals? If we just have countably many reals, what happens with the others? Do they have any special properties? Let's play a little with our notion of 'reality' and allow to ourselves to find crazy reals doing weird things. Hopefully, no-one's headache will last forever.

Latest revision as of 13:18, 25 April 2017

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.

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 2017

January 25, Brandon Alberts

Title: Ultraproducts - they aren't just for logicians

Abstract: If any of you have attended a logic talk (or one of Ivan's donut seminar talks) you may have learned about ultraproducts as a weird way to mash sets together to get bigger sets in a nice way. Something particularly useful to set theorists, but maybe not so obviously useful to the rest of us. I will give an accessible introduction to ultraproducts and motivate their use in other areas of mathematics.

February 1, Megan Maguire

Title: Hyperbolic crochet workshop

Abstract: TBA

February 8, Cullen McDonald

February 15, Paul Tveite

Title: Fun with Hamel Bases!

Abstract: If we view the real numbers as a vector field over the rationals, then of course they have a basis (assuming the AOC). This is called a Hamel basis and allows us to do some cool things. Among other things, we will define two periodic functions that sum to the identity function.

February 22, Wil Cocke

Title: Practical Graph Isomorphism

Abstract: Some graphs are different and some graphs are the same. Sometimes graphs differ only in name. When you give me a graph, you've picked an order. But, is it the same graph across every border?

March 1, Megan Maguire

Title: I stole this talk from Jordan.

Abstract: Stability is cool! And sometimes things we think don't have stability secretly do. This is an abridged version of a very cool talk I've seen Jordan give a couple times. All credit goes to him. Man, I should have stolen his abstract too.

March 7, Liban Mohamed

Title: Strichartz Estimates from Qualitative to Quantitative

Abstract: Strichartz estimates are inequalities that give one way understand the decay of solutions to dispersive PDEs. This talk is an attempt to reconcile the formal statements with physical intuition.

March 15, Zachary Charles

Title: Netflix Problem and Chill

Abstract: How are machine learning, matrix analysis, and Napoleon Dynamite related? Come find out!

April 5, Vlad Matei

April 12, Micky Steinberg

Title: Groups as metric spaces

Abstract: Given a group as a set of generators and relations, we can define the “word metric” on the group as the length of the shortest word “between” two elements. This isn’t well-defined, since different generating sets give different metrics, but it is well-defined up to “quasi-isometry”. Come find out what we can do with this! There will lots of pictures and hand-waving!

April 19, Solly Parenti

Title: Elementary Integration

Abstract: Are you like me? Have you also told your calculus students that finding the antiderivative of e^(-x^2) is impossible? Do you also only have a slight idea about how to prove it? Come find out more about the proof and free yourself of that guilt.

April 26, Ben Bruce

Title: Permutation models

Abstract: Permutation models belong to a version of axiomatic set theory known as "set theory with atoms." I will give some examples of permutation models and highlight their connection to the axiom of choice and notions of infinity. There will be concrete examples, and no prior knowledge of set theory is required.

May 3, Iván Ongay-Valverde

Title: Living with countably many reals?

Abstract: Can I make you believe that a countable set of reals are all the reals? If we just have countably many reals, what happens with the others? Do they have any special properties? Let's play a little with our notion of 'reality' and allow to ourselves to find crazy reals doing weird things. Hopefully, no-one's headache will last forever.