Derived Algebraic Geometry Student Seminar Fall 2024

Our current plan is to read 3d CoHA. We will begin by working through PTTV. We are currently meeting in Evans 732 on Tuesdays at 10 a.m. All are welcome; please e-mail me to be added to the mailing list.

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
9/17	John Nolan	A brief overview of DAG and shifted symplectic structures	I’ll begin by giving a (very quick) summary of derived algebraic geometry and why new / prospective members might find it useful. After that, I’ll give a partial definition of shifted symplectic structures, and I’ll discuss some contexts in which shifted symplectic geometry plays a significant role. This talk will be relatively non-technical, and hopefully future talks will fill in the (important) details I omit.	PDF
9/24	Justin Wu	Shifted Symplectic Structures	I will go into detail about shifted symplectic structures, and give some examples. Then I will discuss lagrangian correspondences and a Darboux theorem for (-1)-shifted symplectic stacks.
10/1	Yuji Okitani	Examples of Lagrangians	I will be talking tomorrow (and asking questions) about some examples of Lagrangians from https://arxiv.org/abs/1306.3235, and also about the loop space interpretation of the spaces introduced last week.
10/8	Chris Li	CoHAs	I will be talking Cohomological hall algebras today. Reference is KS11.
10/15	Chris Li	CoHAs with Potential	We will continue talking about cohomological Hall algebras, focusing on those with potential. We also discussed rapid decay cohomology. Reference is KS11.	PDF; Board Photo 1; Board Photo 2
10/22	Elliott Kienzle	CoHAs and BPS Algebras	I’m going to tell u all why CoHA is an algebra of BPS states, and what that even means.	PDF