Pavel Galashin, UCLA
I will give an overview of interactions between cluster algebras (introduced by Fomin--Zelevinsky) and the study of totally positive matrices, that is, matrices with all minors positive. I will also mention recent results relating cohomology of the associated algebraic varieties to knot theory. No background…
Gueo Grantcharov, Florida International University
In a 4-dimensional vector space with metric of signature (2,2), two isotropic vectors spanning an isotropic plane determine a canonical action of the split quaternions and the resulting structure is called para-hypercomplex. We use this fact to notice that on an oriented 4-…