Coordinates

We will be meeting Tuesdays at 11am-1pm in 939 Evans Hall. Meetings will also be streamed over Zoom and their recordings will be made available.

If you are interested in participating in the seminar but aren’t able to make the current time, please email the coordinator before the first session, where we will consider scheduling changes.

Overview

This is intended to be a learning seminar for Ph.D. students about formulations from derived algebraic geometry and their applications to current research topics. We will be using as a guide the two volumes `A study in derived algebraic geometry’ by D. Gaitsgory and N. Rozenblyum. They can be downloaded, along with a list of other helpful references, from this page.

The hope is that we will learn about the main constructions of IndCoh and inf-schemes in this text, before moving on to understand their applications to various problems. Depending on the interest of participants, these could include:

  • Lie theory, deformations, and formal moduli problems
  • formulations of geometric Langlands duality
  • BV-BRST formalism in physics

Format

Each week there will be a presentation of around 90 minutes delivered by rotating speakers on a predetermined topic. Exercises may optionally be posed for participants to think about. The remaining 30 minutes will be used for asking questions, discussing the exercises from the previous week, and proposing future presentation topics.

Participation

  • All are welcome to just listen to the presentations, ask questions, and pose topics.
  • If you would like to volunteer to deliver the presentation for a topic, then you must email the coordinator at least 2 weeks ahead of time. It is preferred that you prepare LaTeX slides ahead of time so that they can be made available on this page.

Weekly Outline:

  • Week 1 (Hussain Kadhem):
    • Slides: HTML; PDF
    • Logistics; motivation and overview of the various applications; overview of vocabulary and dg-categories.
  • Week 2 (Hussain Kadhem):
    • Slides: HTML; PDF
    • inf-schemes; constructing the category IndCoh for schemes and inf-schemes.
  • Week 3: Robert Windesheim
    • Serre intersection formula and derived intersection schemes.