---
date: 2021-04-16
tags: [ web/quick-notes ]
---


# 2021-04-16

## Stanford AG: Samir Canning, joint with Hannah Larson

#projects/notes/seminars 

- What is the [universal curve](universal%20curve) over $M_g$?
	#todo/questions 

- What is the [tautological ring](tautological%20ring), and how does it relate to the [Chow ring](Chow%20ring.md)?
	#todo/questions 

- What are the [kappa classes](kappa%20classes)?
	#todo/questions 
	
- Question: when does $A^*(M_g) = R^*(M_g)$?

- The integral Chow ring is *very* unknown. 
	We know it only very recently for $M_2, \bar{M_2}$. 
	Compare to rational Chow rings: we know them as quotients of polynomial rings for $M_g, g\leq 23$.

- Can stratify $M_g$ by [gonality](gonality.md).

- What are [hyperelliptic](hyperelliptic) curves?

  > I definitely have known this at several points in time, yeesh.

- Look at [Hurwitz space](Hurwitz%20space.md) : [moduli space](moduli%20space.md) of degree $n$ covers of $\PP^1$ by smooth genus $g$ [curves](curves.md)? 
	At least this specific one is.