The Algebra, Geometry and Cryptology (AGC) Seminar meets on selected Fridays, dates indicated below. Everybody interested is welcome to attend and participate (enrollment is not required). The seminar is co-organized by Zach Teitler and Marion Scheepers. If you wish to present in the seminar or need information, please contact Zach Teitler at email@example.com.
Open problems & Planning
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.
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.
No seminar meeting (Thanksgiving holiday)
|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|