Fall 2017

Fridays, 3:00-3:50

Location: MB124

The Algebra, Geometry and Cryptology (AGC) Seminar meets on selected Fridays, dates indicated below. The seminar is organized by Zach Teitler <zteitler@boisestate.edu>.

**Taking the seminar for credit**

The seminar may be taken for credit as Math 498. For information about receiving credit, contact zteitler@boisestate.edu.**Everybody is welcome!**

Everybody interested is welcome to attend and participate! Enrollment for credit is*not*required. We welcome students to attend and present in the seminar. Attending seminars and colloquium presentations is an excellent way to learn about research topics and senior thesis topics.**AGC Seminar mailing list**

Announcements of upcoming seminars are sent by email to all interested participants. To be added to the AGC Seminar mailing list, contact zteitler@boisestate.edu.

**August 25:**

**Open problems & Planning**

**September 1:**

Topology Seminar

**Jens Harlander**, Boise State University

**The Geometric Realization Problem**

**September 8:**

**Scott Andrews**, Boise State University

**The $q,t$-Catalan numbers**

The Catalan numbers $C_n$ enumerate many different combinatorial objects, including triangulations of an $(n+2)$-gon, 123-avoiding permutations, and Dyck paths. There are two $q$-analogues of the Catalan numbers, both of which turn out to be specializations of the more general $q,t$-Catalan numbers. In this talk I will introduce the Catalan numbers and the idea of a $q$-analogue of a number and I will define the $q,t$-Catalan numbers.

**September 15:**

Topology Seminar

**Uwe Kaiser**, Boise State University

**A Survey of the Volume Conjecture in Knot Theory**

**September 22:**

**Zach Teitler**, Boise State University

**Recent* advances in Waring rank and apolarity**

**September 29:**

Topology Seminar

**Jens Harlander**, Boise State University

**Groups, Homology, and Bias**

**October 6:**

**Zach Teitler**, Boise State University

**High-rank and maximum-rank geometry**

**October 13:**

**Aaron Bertram**, University of Utah

**The Tropical Nullstellensatz**

The (weak) Hilbert Nullstellensatz states that if a system of polynomial equations in several variables has no complex solutions then the equation $1 = 0$ must be a combination of the polynomial equations in the system. In this talk, I will discuss a version of this theorem that holds when complex numbers are replaced with tropical numbers. This is joint work with Rob Easton.

**October 20:**

**Jonny Comes**, College of Idaho

**The Heisenberg category: diagram calculus for induction and restriction functors**

In 2010 Khovanov introduced the so-called Heisenberg category H. Among other things, H provides a diagrammatic setting for calculations involving induction and restriction functors for the symmetric groups. This talk will be an introduction to the Heisenberg category following Brundan’s more recent treatment. I will start with an introduction to induction and restriction for the symmetric groups. In particular, I will describe a combinatorial interpretation of induction and restriction in terms of arrays of boxes known as Young diagrams. This will lead us to the so-called “Mackey decomposition” for the symmetric group. I will then explain Brundan’s definition of H and its connection to induction and restriction. If time permits, I will discuss Khovanov’s motivation or describe one of my current projects related to this stuff.

**October 27:**

Topology Seminar

**Kayla Neal**, Boise State University

**Geodesics in Link Complements**

**November 3:**

**Cassandra Peterson**, Boise State University

**Statistics and climate change**

Several recent developments in statistics are directly related to and used to evaluate climate change.

**November 10:**

Topology Seminar

**Michelle Pyles**, Boise State University

**An Introduction to the Cap Set Problem: the game SET and Tic-Tac-Toe**

**November 17:**

*No seminar meeting*

**November 24:**

*No seminar meeting (Thanksgiving holiday)*

**December 1:**

**Marion Scheepers**, Boise State University

**Permutation sorting and abstract mathematics**

In this talk we feature two basic permutation sorting operations that are hypothesized to act in the genome maintenance program of certain organisms. It turns out that these sorting operations are manifestations of more general mathematical structures in graph theory, linear algebra and topology. We briefly survey these connections.

**December 8:**

TBA

### Previous semesters:

Spring 2017 | Fall 2016 | Spring 2016 | |

Fall 2015 | Spring 2015 | Fall 2014 | Spring 2014 |

Fall 2013 | Spring 2013 | Fall 2012 | Spring 2012 |

Fall 2011 | Spring 2011 | Fall 2010 |