[Alta-Logic] Peripatetic seminar on Friday

[Florian Schwarz]

Dear all,

On Friday, December 6th, Mahmud Azam (University of Saskatchewan) will 
speak in the peripatetic seminar. It will be take place at 1pm in ICT 616.

Title: Moduli Spaces of Arrows

Abstract: Many moduli spaces parametrize isomorphism classes in some 
category, and we can wonder if the morphisms of said category can be 
similarly parametrized. The relevant moduli stack encodes families of 
morphisms, but its points are still objects and not morphisms. The idea 
of this talk is to consider a moduli stack whose points are the 
morphisms involved in the original moduli problem. We will develop this 
idea for the specific case of the moduli problem of vector bundles over 
a fixed base and observe that this has a generalization: if we can 
parametrize arrows of vector bundles, we can parametrize diagrams 
thereof of more general shapes. We will then discuss some implications 
of this line of thought for the moduli problem of Higgs bundles and 
non-Abelian Hodge theory. Time permitting, we will discuss abstract 
moduli theory and homotopy theory in this light. This talk reports on 
joint work with Steven Rayan.

Hope to see you all there.

Best regards,

Florian Schwarz