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1. In Arend Bayer's notes, it was stated that $\Phi_T : D^b(\mathbb{P}^1) \rightarrow D^b(rep(Q))$ is an autoequivalence induced by $T = \mathcal{O} \oplus \mathcal{O}(1)$, with $Q$ being the Kronecker quiver. Can someone explain what the equivalence is?
**Please write down any topics that you would like to discuss during week 4 below
1. I'd like to understand this paper, which classifies stability conditions on K3 surfaces using spherical objects: https://arxiv.org/abs/1009.4372
2. Cluster algebras, Ginzburg algebras
3. Compute a few examples of Serre dimension