
DATE  SPEAKER  TITLE AND ABSTRACT 
4 September 
Matt Evans Binghamton University 
A Weird Categorical Equivalence Recently, I came across a pretty weird categorical equivalence, so I want to talk about. We'll look at a specific unary algebra and the quasivariety it generates. This is a category, and somehow, magically, this category is equivalent to a particular category of directed graphs! (All relevant terms will be defined, and this is a firstyear friendly talk.) 
11 September 
No Seminar (Rosh Hashanah) 

18 September 
Chris Eppolito Binghamton University 
Geometry of Matroids Matroids are combinatorial models of linear independence; such objects are related to vector arrangements, convex polytopes, graphs, tropical varieties, and more. Assuming only some basic linear algebra, we will explore some facets of the deep interplay between matroids and geometry. 
25 September 
Kunle Abawonse Binghamton University 
Partition Identities, Young diagram and Young Tableaux

2 October 
Ted Ofner Binghamton University 
Geodesic Metrics and Warped Products We discuss metric geometry, path spaces and length functions; we will focus on the particular example of a warped product metric and how it can be used to correct BaumslagSolitar obstructions to nonpositively curved geometry. 
9 October 
No Seminar 

16 October 
Garrett Proffitt Binghamton University 
An exposition on mapping class groups, Teichmüller spaces, and hyperbolic surfaces In anticipation of the upcoming topics class in topology class next semester, we take a look at the link between mapping class groups, Teichmüller spaces, and hyperbolic surfaces using the torus as our main example. Depending on time, we may get around to showing that the action of the Mobius transformation on the complex plane is compatible with the action of SL_2(Z) on the lattice. 
23 October 
Chris Chia Binghamton University 
Brouwer fixedpoint theorem and a proof using board games The Brouwer fixedpoint theorem is a wellknown result about continuous functions on a closed disk. However, in this talk we'll prove the theorem by making a discrete argument; in particular, we will examine the relationship between the theorem and a seemingly simple board game called Hex. No background required! 
30 October 
Uly Alvarez Binghamton University 
Hyperbolic Groups Manifolds with negative curvature enjoy many geometric features, such as geodesics which diverge exponentially fast. I will present a discrete counterpart which attempts to capture the geometry of such objects. 
6 November 
Josh Carey Binghamton University 
Monstrous Moonshine and the Monster Lie Algebra In 1978 John McKay noticed that 196884 = 196883+1, giving way to the Monstrous Moonshine Conjecture, which in part claims a relationship between the elliptic modular function J and graded dimension of representations of the Monster Group. From 19781990 many chipped away at a proof of Moonshine, with the final piece completed by Richard Borcherds in 1990. In this talk, I will discuss a brief history of this conjecture as well as how Borcherds abstracted the notion of semisimple Lie algebras to construct the Monster Lie Algebra and solve Moonshine once and for all. This talk will be first year friendly. 
13 November 
Kyle Bayes Binghamton University 
The Universal Approximation Theorem A nice result about feedforward neural networks is that they can approximate any continuous function. We will prove this result in this talk. No prior knowledge about neural networks is necessary. 
20 November 
Zach Costanzo Binghamton University 
An Introduction to Frobenius Groups 
29 November (Thursday) 
Mike Gottstein Binghamton University 
Introduction to De Rahm Theory In this talk we’ll introduce DeRahm theory through the fundamental theorem of calculus. The talk will be aimed towards any person that has taken a full sequence of calculus courses and wants to see how the story can continue. 
6 December 
David Cervantes Nava Binghamton University 
Sobolev Spaces: A Weak Approximation to a Partial Talk on Diff. Eq's Solutions to PDE’s are required to possess a certain degree of differentiability. When looking for solutions, it’s natural to start your search in the space of all functions with the necessary level of “niceness.” Unfortunately, this is not always feasible. It’s often simpler to find a weak solution in a larger space. We’ll provide a basic introduction to these spaces and state some nifty theorems. 
11 December 
Sayak Sengupta Binghamton University 
An overview on Jacobian Conjecture with positive characteristic I will start with the statement of the Jacobian conjecture. Then talk a little bit about my problem (mathematical problem) which is a variant of the Jacobian conjecture concluding the talk with some fine examples and some basic tricks that might be used to get an answer to the problem. 