SFU Number Theory and Algebraic Geometry Seminar: Mark Shoemaker

  • Date: 09/21/2023
  • Time: 15:30
Mark Shoemaker, Colorado State University

Simon Fraser University


Counting curves in quiver varieties


From a directed graph $Q$, called a quiver, one can construct what is known as a quiver variety $Y_Q$, an algebraic variety defined as a quotient of a vector space by a group defined in terms of $Q$. A mutation of a quiver is an operation that produces from $Q$ a new directed graph $Q’$ and a new associated quiver variety $Y_{Q’}$. Quivers and mutations have a number of connections to representation theory, combinatorics, and physics. The mutation conjecture predicts a surprising and beautiful connection between the number of curves in $Y_Q$ and the number in $Y_{Q’}$. In this talk I will describe quiver varieties and mutations, give some examples to convince you that you’re already well-acquainted with some quiver varieties and their mutations, and discuss an application to the study of determinantal varieties. This is based on joint work with Nathan Priddis and Yaoxiong Wen.

Other Information: 

Time: 3.30pm Pacific 

Location: Online. Register for link