# Events

## Spring 2018

### Talk: An Introduction to Semigroups by Casey Donoven 2/13

A semigroup is a set with an associative operation, like real numbers with addition. Semigroups can come in a variety of sizes (empty to infinite) and range from familiar examples (matrices) to the bizarre (bicyclic monoid). In this talk, I'll describe semigroups while focusing on fundamental examples, like integers, words, and transformations. I will also describe one of my current research projects on decomposing semigroups into smaller subsemigroups. The talk will be at 7pm in EB N25.

### Talk: Estimating a population parameter with different sampling techniques by Robert Beblavy 2/27

In statistics, there are several ways of taking a sample. Each of these sampling methods have their pros and cons. A question one might wonder is, which method of sampling works “best?” Of course, the term “best” requires context. “Best” may have a different meaning depending on the objective one is trying to achieve by collecting the data. However, here we take “best” to mean providing us with the closest estimate to the desired population parameter. That is, we define “best” to be providing us with a result closest to the actual value of the statistic we are after. The aim of the project is to answer this question by comparing the accuracies with which the statistics generated by the different sampling methods estimate the population parameter. With the statistics tools available today, we can mathematically show how far off our estimates were for samples generated by each sampling technique and compare their accuracies. The talk will be at 7pm in EB N25.

### Talk: The n-dimensional geometry of non-attacking chess pieces by Prof. Thomas Zaslavsky 3/27

It's actually 2n-dimensional geometry (it lives in R2n) if there are n pieces: two coordinates per piece. An attack by one piece on another is an equation involving the coordinates of the two pieces; that is, it's a subspace of R2n. Avoiding that attack means avoiding that subspace. I'll explain this and explain how it connects with the well-known Eight Queens Problem and similar problems that involve other pieces of chess, like the knight and bishop, and fairy chess, like the nightrider and vizier. The talk will be at 7pm in EB N24.

CANCELLED

## Fall 2017

### Talk: Cantor's Diagonal Argument by Prof. Dikran Karagueuzian 10/25

We'll review Cantor's Diagonal Argument showing that the real numbers are uncountable and talk about two other facts that can be proved by the same method: the compactness of the p-adic integers (Don't worry if you don't know what these are.) and the unsolvability of the Halting Problem. (This is computer science, and will also be explained.) The talk will be at 8pm in UU 108.

### General Meeting, Topic: Infinite Series 10/11

Our next meeting is this Wednesday October 11th from 8:00 - 8:30 in UU 108. There will be several announcements about upcoming Math Club events and opportunities. The topic of this weeks meeting is Infinite Series, and at the end there will be a competition for a prize. As always, there will be plenty of pizza. Hope to see you there!

10_11_17_Meeting

### General Information Meeting, 9/27

Welcome to Binghamton University Math Club! We will be holding our first GIM in UU 108 at 8:30 pm on Wednesday September 27th directly after the Bloomberg Tech Talk, where we will be going over plans for this semester and holding executive board elections. We currently have an acting President, Vice President, and Treasurer. The official election for these positions as well as Secretary will take place at the end of the meeting. If you plan on running for a position, please prepare a brief speech regarding why you are running and what you hope to contribute. The will also be pizza at the meeting. We hope to see you there!

Fall_2017_GIM.pptx