---
date: 2022-01-18
tags: [ web/quick-notes ]
---

# 2022-01-18

Tags:
#web/quick-notes

Refs:
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## 09:59

Semi-orthogonal decompositions:

![](figures/2022-01-18_09-59-52.png)

Serre functors:

![](figures/2022-01-18_10-05-15.png)

Flips and small contractions:

![](figures/2022-01-18_10-08-51.png)

![](figures/2022-01-18_10-09-07.png)

Flops

![](figures/2022-01-18_10-11-36.png)

Equivalence in $\K_0$:

![](figures/2022-01-18_10-22-15.png)

![](figures/2022-01-18_10-21-55.png)

Exceptional collections:

![](figures/2022-01-18_10-30-05.png)

Some semiorthogonal decompositions

![](figures/2022-01-18_10-31-57.png)

Flips from blowup/blowdown:

![](figures/2022-01-18_10-33-35.png)

Derived McKay correspondences:

![](figures/2022-01-18_10-34-12.png)

## 10:42

Algebraic cobordism spectrum:

![](figures/2022-01-18_10-42-31.png)

Algebraic $\K$ using framed suspension:

![](figures/2022-01-18_10-43-15.png)

![](figures/2022-01-18_10-46-34.png)

## 11:37

Finite locally free morphisms

![](figures/2022-01-18_11-37-47.png)

## 11:54


$\AA^1\dash$localizing a functor:

![](figures/2022-01-18_11-54-51.png)

![](figures/2022-01-18_11-55-09.png)

Commutative monoids in presheaves equipped with Day convolution:

![](figures/2022-01-18_12-01-36.png)