Derived Algebraic Geometry Student Seminar Fall 2024

The topic for the semester is singular support of (ind-)coherent sheaves and matrix factorizations. Some references are Arinkin-Gaitsgory 1, Arinkin-Gaitsgory 2, Beraldo-Lin-Reeves, and di Fiore’s thesis. We are currently meeting in Evans 891 Tuesdays 9-11.

If you’d like to join remotely, send me an e-mail so that I open Zoom. Here’s the Zoom link.

Date Speaker Title Abstract Notes
2/11 Swapnil Garg Singular Support of Constructible Sheaves I will review singular support of constructible sheaves and D-modules, in particular highlighting the construction of the sheaf of categories over \(T^*X\) called \(\mu Sh_\Lambda\), for \(\Lambda\) a conical Lagrangian in \(T^*X\). If time permits, I will then explain the concept of the singular support of a strong \(G\)-category \(C\) (i.e. a \(D(G)\)-module \(C\)), which is a subset of \(Lie(G)^*\), following Dhillon–Faergeman.  
2/18 Ansuman Bardalai Singular Support of Coherent Sheaves I will try to define the notion of singular support of coherent sheaves (with some motivation).